If angle 3 is 54 degrees what is the measure of each angle

Answers

Answer 1

Answer:Si es un triangulo y el tercer angulo es de 54 grados los otros dos angulos son de 63 grados

Step-by-step explanation:

180-54= 126

126/2=53

eso si el triangulo es isosceles.


Related Questions

How many nickels are there in $22? Solve the equation 22 ÷ 0.05 to help you.
25
44
225
440

Answers

Answer:440

Step-by-step explanation:

Answer:

To find the number of nickels in $22, we need to first convert the amount of money from dollars to cents and then divide this number by the value of a nickel in cents. Since 1 dollar is equal to 100 cents, we can convert $22 to 2200 cents.

Next, we need to find the value of a nickel in cents. Since a nickel is worth 5 cents, the value of a nickel in cents is 0.05 * 100 = 5 cents.

Finally, we can divide the total number of cents by the value of a nickel in cents to find the number of nickels:

2200 cents / 5 cents/nickel = 440 nickels

Therefore, there are 440 nickels in $22. Solving the equation 22 ÷ 0.05 gives the same result.

+
50°
50°
PLEAE help

+5050PLEAE help

Answers

The answer will be 80 degrees

Step-by-step explanation:

50 +50 + x = 180 (Angle sum property of a triangle)

The angle sum property of a triangle:

The total measure of the three angles of a triangle is 180°

\( \rm \large \rightarrow \: \: x \: + \: 50 \degree \: + \:50 \degree \: = \: 180 \degree\)

\( \rm \large \rightarrow \: \: x \: + \: 100 \degree \: = \: 180 \degree\)

\(\rm \large \rightarrow \: \: x \: = \: 180 \degree \: - \: 100 \degree\)

\(\rm \large \rightarrow \: \: x \: = \: 80 \degree\)

Using the following image, find the midpoint of the line by completing the problems below. The midpoint is what?

Using the following image, find the midpoint of the line by completing the problems below. The midpoint

Answers

Answer:

1,1

Step-by-step explanation:

just a guess

The midpoint of the line segment AB is (1, 1).

We have,

To find the midpoint of a line segment with two given endpoints, we can use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint (M) between two points (x₁, y₁) and (x₂, y₂) can be calculated as:

M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

Using the given endpoints:

A = (0, 4)

B = (2, -2)

We can substitute these values into the midpoint formula:

M = ((0 + 2) / 2, (4 + (-2)) / 2)

M = (2/2, 2/2)

M = (1, 1)

Therefore,

The midpoint of the line segment AB is (1, 1).

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Find the exact value by using a half angle identity.tan 75°

Answers

The trigonometric function is given as

\(\tan 75^{\circ}\)

Apply the half angle identity to find the value of tan 75 ,

\(\tan (\frac{u}{2})=\frac{\sin u}{1+\cos u}\)

Here,

\(\tan (\frac{150^{\circ}}{2})=\frac{\sin150^{\circ}}{1+cos150^{\circ}}\)\(\tan (75^{\circ})=\frac{\frac{1}{2}}{1-\frac{\sqrt[]{3}}{2}}=\frac{\frac{1}{2}}{\frac{2-\sqrt[]{3}}{2}}^{}\)\(\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}\)

Now rationalize the function.

\(\tan 75^{\circ}=\frac{1}{2-\sqrt[]{3}}\times\frac{2+\sqrt[]{3}}{2+\sqrt[]{3}}=\frac{2+\sqrt[]{3}}{4-3}=\frac{2+\sqrt[]{3}}{1}\)

Again simplify the trigonometric function,

\(\tan 75^{\circ}=2+1.732=3.732\)

Hence the answer is 3.732.

the original value of an item is $420 that same item is now worth $360 find the percent of change

Answers

Answer: 86%

Step-by-step explanation:

I take 360 divided by the original price is 420 and get 0.857. Then I time 100 and get 85.7%. And I round up to 86%

A'B'C' is a rotation of ABC 90 degrees about the orgin. What is the length of A'C'?A. 7 unitsB. 5 unitsC. 12 unitsD. 3 units

A'B'C' is a rotation of ABC 90 degrees about the orgin. What is the length of A'C'?A. 7 unitsB. 5 unitsC.

Answers

We know that A'B'C' is a rotation of the triangle ABC 90 decrees about the origin.

We remember that in a rotation, the lengths of the segments don't change, and thus, the measure of the segments are:

\(\begin{gathered} AB=A^{\prime}B^{\prime} \\ AC=A^{\prime}C^{\prime} \\ BC=B^{\prime}C^{\prime} \end{gathered}\)

This means that the length of A'C' is 5 units, as this is the length of the segment AC.

Answer:

5 units

Step-by-step explanation:

I got it right on the test.

A'B'C' is a rotation of ABC 90 degrees about the orgin. What is the length of A'C'?A. 7 unitsB. 5 unitsC.

ABC is a company that manufactures screws for desk lamps. The design specification for the diameter of the screw is 0.8 ± 0.008 cm, where 0.8 is the "target" diameter and 0.008 is the tolerance.
1) After taking samples from the production line, the mean diameter is found to be 0.8 cm and the standard deviation is found to be 0.002 cm. Is the process 3-sigma capable? Is the process 6- sigma capable?
2) A year has passed and the ABC process mean is now 0.803 cm. Is the process 3-sigma capable? If not, how to improve the mean to make it 3-sigma capable (assuming standard deviation is fixed at 0.002), and how to improve the standard deviation to make it 3-sigma capable (assuming mean is fixed at 0.803)?
3) A year has passed and the ABC process mean is now 0.803 cm. Is the process 6-sigma capable? If not, how to improve the mean to make it 6-sigma capable (assuming standard deviation is fixed at 0.002), and how to improve the standard deviation to make it 6-sigma capable (assuming mean is fixed at 0.803)?

Answers

1) The process is 3-sigma capable but not 6-sigma capable because the process variation is smaller than the tolerance .

2) The process is not 3-sigma capable.

3) The process is not 6-sigma capable.

To determine whether the process is 3-sigma capable, we need to calculate the process capability index, also known as Cpk, which measures how well the process fits the design specifications.

Cpk is calculated as the minimum of two ratios: the ratio of the difference between the target value and the nearest specification limit to three times the standard deviation (Cpk = (USL - mean)/(3stdev) or (mean - LSL)/(3stdev)), and the ratio of the difference between the mean and the target value to three times the standard deviation (Cpk = (target - mean)/(3*stdev)).

For ABC's screw manufacturing process, the upper specification limit (USL) is 0.808 cm, and the lower specification limit (LSL) is 0.792 cm. With a mean of 0.8 cm and a standard deviation of 0.002 cm, the process capability index is:

Cpk = min((0.808 - 0.8)/(30.002), (0.8 - 0.792)/(30.002)) = 1.33

Since Cpk > 1, the process is 3-sigma capable. To determine if the process is 6-sigma capable, we need to calculate the process sigma level, which is the number of standard deviations between the mean and the nearest specification limit multiplied by two. The process sigma level can be calculated using the formula: Process Sigma = (USL - LSL)/(6*stdev).

For ABC's screw manufacturing process, the process sigma level is:

Process Sigma = (0.808 - 0.792)/(6*0.002) = 3.33

Since the process sigma level is greater than 6, the process is 6-sigma capable.

If the ABC process mean is now 0.803 cm, it is no longer 3-sigma capable since the mean is outside the target value range. To improve the mean to make it 3-sigma capable, ABC would need to adjust the production process to shift the mean towards the target value of 0.8 cm. This could involve changing the manufacturing process, adjusting the machinery, or modifying the materials used to manufacture the screws.

Assuming the standard deviation is fixed at 0.002 cm, we can calculate the new process capability index required to achieve 3-sigma capability. Using the formula for Cpk, we get:

Cpk = (0.8 - 0.803)/(3*0.002) = -0.5

To achieve 3-sigma capability, the process capability index needs to be greater than or equal to 1. Since -0.5 is less than 1, ABC would need to improve the mean diameter of the screws to make the process 3-sigma capable.

To improve the standard deviation to make the process 3-sigma capable, assuming the mean is fixed at 0.803 cm, ABC would need to reduce the amount of variation in the manufacturing process. This could involve improving the quality of the raw materials, enhancing the precision of the machinery, or adjusting the manufacturing process to reduce variability. If the standard deviation is reduced to 0.001 cm, the new process capability index would be:

Cpk = min((0.808 - 0.803)/(30.001), (0.803 - 0.792)/(30.001)) = 1.67

Since 1.67 is greater than 1, the process would be 3-sigma capable.

If the ABC process mean is now 0.803 cm, it is still 6-sigma capable since

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Can someone please help me get this answer correct?

Can someone please help me get this answer correct?

Answers

Answer:

I'm pretty sure that would be a rectangle

Step-by-step explanation:

I just graphed it

Find the 27th term. -21, -14, −7, 0, 7, ... 27th term = [ ? ]

Answers

Answer: the term 27 ; a27=a1+(n-1)d. a27=38+(27-1)(-7)

Step-by-step explanation:

Given a1=38,a17=-74. a17=a1+(n-1)d. =38+(17-1)d. -74=38+16d. -74-38=16d. -112=16d. d= -7. the term 27 ; a27=a1+(n-1)d. a27=38+(27-1)(-7).

Answer: 7

Step-by-step explanation: number adds up by 7

Ixl dilations-find the scale factor and center dilation

Answers

The scale factor is 2 and center dilation is reduced.

The scale factor is a ratio that describes how much a figure has been enlarged or reduced. It is calculated by dividing the length of the corresponding sides of the original and dilated figures. If the scale factor is greater than 1, then the figure is enlarged, and if it is less than 1, then the figure is reduced.

To find the scale factor in an IXL dilations problem, you need to compare the corresponding sides of the original and dilated figures.

If the original figure has a side length of 4 units, and the dilated figure has a corresponding side length of 8 units, then the scale factor is 8/4=2. This means that the dilated figure is twice as large as the original figure.

The center of dilation is the point about which the figure is enlarged or reduced. It is the fixed point that remains unchanged during the dilation process.

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The Metropolitan Bus Company claims that the mean waiting time for a bus during rush hour is less than 5 minutes. A random sample of 20 waiting times has a mean of 3.7 minutes with a standard deviation of 2.1 minutes. At an a=0.01, test the bus company's claim. Assume the distribution is normally distributed.
State the decision.
Reject H
Do not reject H
Reject H
Do not reject H

Answers

The decision is to reject the null hypothesis (H₀).

To test the bus company's claim, we can set up the following hypotheses:

H₀: μ ≥ 5 (The mean waiting time for a bus during rush hour is greater than or equal to 5 minutes.)

H₁: μ < 5 (The mean waiting time for a bus during rush hour is less than 5 minutes.)

Here, μ represents the population mean waiting time.

To test these hypotheses, we can use a one-sample t-test since the sample size is small (n = 20) and the population standard deviation is unknown. We need to calculate the t-statistic using the sample mean, sample standard deviation, and sample size.

The formula for the t-statistic is:

t = (x- μ) / (s / √n),

where x is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the values from the problem, we have:

x= 3.7 (sample mean)

s = 2.1 (sample standard deviation)

n = 20 (sample size)

μ = 5 (hypothesized population mean)

Calculating the t-statistic:

t = (3.7 - 5) / (2.1 / √20) ≈ -1.923

Next, we need to determine the critical t-value for a significance level of α = 0.01 and degrees of freedom (df) = n - 1 = 20 - 1 = 19. Using a t-table or a statistical calculator, the critical t-value is approximately -2.861.

Since the calculated t-statistic (-1.923) is greater than the critical t-value (-2.861) and falls in the rejection region, we reject the null hypothesis. Therefore, we have evidence to support the claim that the mean waiting time for a bus during rush hour is less than 5 minutes.

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a researcher in a small midwestern town wants to estimate the mean weekday sleep time of its adult residents. he takes a random sample of 80 adult residents and records their weekday mean sleep time as 6.4 hours. assume that the population standard deviation is fairly stable at 1.8 hours

Answers

The 95% confidence interval for the population mean weekday sleep time of all adult residents in the Midwestern town is approximately 6.00 to 6.80 hours.

How to calculate the value

Confidence Interval = x ± Z * (σ/√n)

Substituting the given values into the formula, we get:

Confidence Interval = 6.4 ± 1.96 * (1.8/√80)

Calculating the standard error (σ/√n):

Standard Error = 1.8/√80 ≈ 0.2015

Substituting the standard error into the formula, we have:

Confidence Interval = 6.4 ± 1.96 * 0.2015

Confidence Interval = 6.4 ± 0.3951

Lower limit = 6.4 - 0.3951 ≈ 6.00

Upper limit = 6.4 + 0.3951 ≈ 6.80

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A researcher in a small Midwestern town wants to estimate the mean weekday sleep time of its adult residents. He takes a random sample of 80 adult residents and records their weekday mean sleep time as 6.4 hours. Assume that the population standard deviation is fairly stable at 1.8 hours. (You may find it useful to reference the table.)

Calculate the 95% confidence interval for the population mean weekday sleep time of all adult residents of this Midwestern town. (Round final answers to 2 decimal places.)

PLEASE HELP!!
Solve the right triangle.
Round your answers to the nearest tenth.
A=
a=
c=

PLEASE HELP!! Solve the right triangle.Round your answers to the nearest tenth.A=a=c=

Answers

Answer:

Step-by-step explanation:

sum of ngles of triangle=180

90+39+A=180

129+a=180

A=180-129

A= 51

apply the some rule:

since 39 = opp/hyp

sin39=16/c

c= 16/sin39 = 25.42 ≅  25.4 rounded to the nearest tenth

sin 51 = opp/hyp

sin51=a/25.42415166

a=19.8 ( rounded to the nearest tenth)

Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles. this is a triangle. side a has a length of 9 inches. side b has a length of 9 inches. side c has a length of 6 inches. the altitude to side c has a length of x inches. a. 8.5 in. b. 11.3 in. c. 8 in. d. 6.2 in.

Answers

The height of the triangle, we can use the formula for the area of a triangle. The correct answer is option d i.e. 6.2 inch. The formula for the area of a triangle is A = (1/2) * base * height.

In this case, side c is the base and the altitude to side c is the height. We are given that side c has a length of 6 inches and the altitude to side c has a length of x inches.

The area of the triangle can also be calculated using Heron's formula, which states that the area of a triangle can be found using the lengths of its sides. Heron's formula is given by

A = sqrt(s * (s - a) * (s - b) * (s - c)), where s is the semi perimeter of the triangle and is calculated as s = (a + b + c) / 2.

In this case, we can calculate the semiperimeter as s = (9 + 9 + 6) / 2 = 12.

Using Heron's formula, we can find the area of the triangle as A = sqrt(12 * (12 - 9) * (12 - 9) * (12 - 6)) = sqrt(12 * 3 * 3 * 6) = sqrt(648).

Now, we can equate the two formulas for the area of the triangle:

(1/2) * 6 * x = sqrt(648)

Simplifying the equation:

3x = sqrt(648)

Squaring both sides of the equation:

9x^2 = 648

Dividing both sides by 9:

x^2 = 72

Taking the square root of both sides:

x = sqrt(72)

Simplifying:

x = sqrt(36 * 2)

x = sqrt(36) * sqrt(2)

x = 6 * sqrt(2)

Therefore, the height of the triangle is 6 * sqrt(2) inches.

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Pls help
In the diagram below, △KLM≅△NOP.
What is the length of line segment KL¯¯¯¯¯?

A - 12 units

B - 14 units

C - 17 units

D - 19 units

Pls helpIn the diagram below, KLMNOP.What is the length of line segment KL?A - 12 unitsB - 14 unitsC

Answers

The value of x will be equal to 14 units.

What is congruency?

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one are congruent to the included angle and corresponding two sides of the other triangle.

Since the two triangles are congruent so the value of x will be calculated as:-

2x  -  9  =  x  +  5

2x  -  x  =   9  +  5

x  =  14

Therefore the value of x will be equal to 14 units.

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Please help me and I’ll give you brainiest!!!!!!!!!



Have a wonderful day!!:))))))!!!!!!

Please help me and Ill give you brainiest!!!!!!!!! Have a wonderful day!!:))))))!!!!!!

Answers

Y33x is your answer and

A big school bus was 2/7 full when it left Area A. When it arrived at Area B, 9 children alighted the bus and there were 31 children on the bus after that. How many children can fit into the big school bus?​

Answers

The total capacity of the big school bus is 140 children.

To find out how many children can fit into the big school bus, let's work through the given information step by step.

When the bus left Area A, it was 2/7 full. This means that 2/7 of the bus's capacity was occupied by children. Let's represent the total capacity of the bus as 'x'. Therefore, 2/7 of 'x' corresponds to the number of children on the bus when it left Area A.

After the bus arrived at Area B, 9 children alighted, which means the number of children decreased by 9. We are then told that there were 31 children remaining on the bus. So, the number of children on the bus before any alighted was 31 + 9 = 40.

Since 2/7 of the bus's capacity was occupied by children when it left Area A, we can set up the following equation:

(2/7) * x = 40

To solve for 'x', we can multiply both sides of the equation by (7/2):

x = 40 * (7/2)

x = 140

Therefore, the total capacity of the big school bus is 140 children.

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For her final project Stacy plans on surveying random sample of 50 students on whether they plan to go to Florida for Spring Break From past years she guesses that about 11%0 of the class goes reasonable for her t0 use Normal model for the sampling distribution of the sample proportion? Why or why not?

Answers

To decide whether it is sensible for Stacy to utilize the ordinary show for the inspecting conveyance of the test extent, we got to check whether the conditions for utilizing the typical conveyance estimation are met. The conditions are:

The test estimate is expansive sufficient

The test information is autonomous

The populace is at slightest 10 times bigger than the test

The test estimate, in this case, is 50. To check whether it is expansive sufficient, ready to utilize the run the show of thumb that the test measure ought to be at the slightest 10% of the populace estimate.

Hence, based on these conditions, it is sensible for Stacy to utilize the ordinary demonstration for the inspecting conveyance of the test extent. She can accept that the testing dispersion is roughly typical with a cruel of p = 0.11 and a standard deviation of sqrt[(p(1-p))/n] = sqrt[(0.11(0.89))/50] = 0.05.

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Find another point in the pattern that passes through the points (0, 4) and (2, 12)

Answers

Answer:

3

Step-by-step explanation:

what is the max height of n=-1t^2+2t+8

Answers

The maximum height of the function is 9

How to determine the maximum height?

The equation of the function is given as:

n=-1t^2 + 2t + 8

Differentiate the function

n' = -2t + 2

Set to 0

-2t + 2 = 0

Subtract 2 from both sides

-2t = -2

Divide both sides by -2

t = 1

Substitute t = 1 in n=-1t^2 + 2t + 8

n=-1(1)^2 + 2(1) + 8

Evaluate

n=9

Hence, the maximum height of the function is 9

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Please help me on this: it’s 10 points pls help me

Please help me on this: its 10 points pls help me

Answers

Answer:

10^4  ---------------- 10,000

10^-4* 10^2 ------- 1/10^2 = 0.01

10^-4 ---------------- 1/10^4 = 0.0001

10^-4/10^2 -------- 1/10^6 = 0.000001

Write two equivalent ratios to 4:10.

Answers

Answer:

2:5

Step-by-step explanation:

divide / simplify the ratio

Answer:

2:5     8:20

Because 2:5 is equivalent to 4:10 and so it 8:20

1. Explain why the sine law cannot be used to find the length of the third side of a triangle when
the known angle is contained between the two known sides

Answers

Answer:

The law of Sines is used to determine a missing side or angle measurement

Step-by-step explanation:

When saying Sine Law, I am pretty sure you mean the Law of Sines.

This is the equation

a/sine a = b/sine b

To use the Law of Sines you need 2 angle measurements and 1 side length, or 2 side lengths and 1 angle measurements. Law of Sines is used to find the missing angle or side. Not to find the third side.

To find the length of the third side you would use pythagorean theorem.

Find any critical numbers for the function f(x) = (x + 6)° and then use the second-derivative test to decide whether the critical numbers lead to relative maxima or relative minima. If the second-derivative test gives no information, use the first derivative test instead.

Answers

For the function f(x) = (x + 6)°, there are no critical numbers and no relative maxima or minima. The function is an increasing function for all values of x, and it has a global minimum at x = -6.

To find the critical numbers for the function f(x) = (x + 6)°, we need to set its first derivative equal to zero and solve for x. So,
f(x) = (x + 6)°
f'(x) = 1
Setting f'(x) = 0 gives us no solutions, which means that there are no critical numbers for this function.
Since there are no critical numbers, we cannot use the second-derivative test or the first derivative test to decide whether the critical numbers lead to relative maxima or relative minima. However, we can still determine the nature of the function by looking at its graph or by analyzing its behavior for different values of x.
From the function f(x) = (x + 6)°, we can see that it is an increasing function for all values of x. Therefore, there are no relative maxima or minima for this function. In fact, the function has a global minimum at x = -6, where it takes the value of 0.

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If profits decrease by 13.8% when the degree of operating
leverage (DOL) is 3.8, then the decrease in sales is:
A) 0.28%
B) 0.52%
C) 3.63%
D) 10%
E) 52.44%

Answers

Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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find all missing sides 30 , 45, 45

Answers

The missing side is 90 when all the other side are 30, 45 and 45.

Describe quadrilateral.

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees. A closed, two-dimensional figure with four sides, four angles, and four vertices is called a quadrilateral. Square, rectangle, and trapezium are a few examples of quadrilaterals. A quadrilateral is a four-sided polygon with four edges and four corners that is used in geometry. The Latin words quadri, a variation of four, and latus, meaning "side," are the source of the name.

Given

Sides 30, 45 and 45

As we know sum of quadrilateral is 180

Let other side be x.

30 + 45 + 45 + x = 180

90 + x = 180

x = 180 - 90

x = 90

The missing side is 90 when all the other side are 30, 45 and 45.

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hey im pretty bad at this homework stuff can someone please help me answer all this

hey im pretty bad at this homework stuff can someone please help me answer all this

Answers

Answer:

Step-by-step explanation:

1. $135

2. a. no

    b. $340

3. a. 33

   b. $135*33= $4455+340= $4795

4. a. $7630 = 135v + 340

     b. 135v + 340 = 7630

          135v = 7290

              v = 54 vacuums        

One unit of A is composed of two units of B and three units of C. Each B is composed of one unit of F. C is made of one unit of D, one unit of E, and two units of F. Items A,B,C, and D have 20,50,60, and 25 units of on-hand inventory, respectively. Items A,B, and C use lot-for-lot (L4L) as their lot-sizing technique, while D,E, and F require multiples of 50,100 , and 100 , respectively, to be purchased. B has scheduled receipts of 30 units in period 1. No other scheduled receipts exist. Lead times are one period for items A, B, and D, and two periods for items C,E, and F. Gross requirements for A are 20 units in period 1,20 units in period 2, 60 units in period 6, and 50 units in period 8. Find the planned order releases for all items.

Answers

The planned order releases for each item are as follows: A: 20 units in period 1, B: 10 units in period 1, C: 40 units in period 3, D: No planned order release, E: 100 units in period 5, F: 100 units in period 5

To determine the planned order releases for all items, we need to calculate the net requirements for each period based on the given information. We will start with the highest-level item and work our way down the bill of materials.

Item A:

Period 1: Gross requirement of 20 units.

Since A uses lot-for-lot (L4L) as the lot-sizing technique, we release an order for 20 units of A.

Item B:

Item B is a component of A, and each A requires 2 units of B.

We need to calculate the net requirements for B based on the planned order release for A.

Period 1: Gross requirement of 20 units * 2 (requirement multiplier for B) = 40 units.

B has a scheduled receipt of 30 units in period 1.

Net requirement for B in period 1: 40 units - 30 units = 10 units.

Since B also uses L4L as the lot-sizing technique, we release an order for 10 units of B.

Item C:

Item C is a component of A, and each A requires 3 units of C.

We need to calculate the net requirements for C based on the planned order release for A.

Period 1: Gross requirement of 20 units * 3 (requirement multiplier for C) = 60 units.

C has a lead time of two periods, so we need to account for that.

Net requirement for C in period 3: 60 units - 20 units (scheduled receipt for A in period 1) = 40 units.

Since C uses L4L as the lot-sizing technique, we release an order for 40 units of C.

Item D:

Item D is a component of C, and each C requires 1 unit of D.

We need to calculate the net requirements for D based on the planned order release for C.

Period 3: Gross requirement of 40 units * 1 (requirement multiplier for D) = 40 units.

D has a lead time of one period, so we need to account for that.

Net requirement for D in period 4: 40 units - 60 units (scheduled receipt for C in period 3) = -20 units (no requirement).

Since the net requirement is negative, we do not release any planned order for D.

Item E:

Item E is a component of C, and each C requires 1 unit of E.

We need to calculate the net requirements for E based on the planned order release for C.

Period 3: Gross requirement of 40 units * 1 (requirement multiplier for E) = 40 units.

E has a lead time of two periods, so we need to account for that.

Net requirement for E in period 5: 40 units - 0 units (no scheduled receipt for E) = 40 units.

Since E requires a multiple of 100 to be purchased, we release an order for 100 units of E.

Item F:

Item F is a component of B and C, and each B requires 1 unit of F, while each C requires 2 units of F.

We need to calculate the net requirements for F based on the planned order releases for B and C.

Period 1: Gross requirement for B = 10 units * 1 (requirement multiplier for F) = 10 units.

Period 3: Gross requirement for C = 40 units * 2 (requirement multiplier for F) = 80 units.

F has a lead time of two periods, so we need to account for that.

Net requirement for F in period 5: 10 units + 80 units - 0 units (no scheduled receipt for F) = 90 units.

Since F requires a multiple of 100 to be purchased, we release an order for 100 units of F.

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Find the largest six digits number which is divisible by 120 exactly.​

Answers

Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960

Find the volume of the cylinder. Enter the answer EXACTLY as it appears on
your calculator. NO ROUNDING this time.

Find the volume of the cylinder. Enter the answer EXACTLY as it appears onyour calculator. NO ROUNDING

Answers

Answer:

653.45

Step-by-step explanation:

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