TestUnit: GeometryProgressQuestion ID: 109944The movement of the progress bar may be uneven becouse questions con be worth more or less including zero) depending on your answerA semi-circle sits on top of a rectangle to form the figure below. Find its area and perimeter. Use 3.14 for .4 inA: 41.12 square inches, P 18.28 inchesA41.12 square inches, P,24.56 inchesCA 22.28 square inches, P24.56 inchesCA 22.28 square inches, P 18.28 inchesCOST26tvcea

Answer:

51.256km/hr

Step-by-step explanation:

average speed is equal to the distance over time

Time = 5hr

distance = 256.28 km

speed = 256.28/5

speed =51.256km/hr

we can see that Kiran is farthest from home (6 blocks away) at time 5, when he reaches the bank. He spends the most time away from home (9 minutes) during his entire journey.

How to make graph?

To make a graph showing Kiran's distance from home over time, we can use the following steps:

Divide the journey into three parts: from home to store, from store to bank, and from bank to home.

Calculate the time taken for each part of the journey based on the distance and speed.

Use a coordinate system to plot Kiran's distance from home on the y-axis and time on the x-axis.

Plot the points corresponding to Kiran's position at different times for each part of the journey.

Connect the dots to form a continuous line.

Let's go through each part of the journey in more detail:

Home to store: Kiran is driving at a speed of 1 block per minute, and the distance is 3 blocks. Therefore, he reaches the store in 3 minutes.

Store to bank: After spending 2 minutes at the store, Kiran continues driving at a speed of 1 block per minute, and the distance is 3 blocks. Therefore, he reaches the bank in 5 minutes.

Bank to home: After spending 4 minutes at the bank, Kiran drives at a speed of 2 blocks per minute, and the distance is 6 blocks. Therefore, he reaches home in 9 minutes.

To plot the graph, we can use a coordinate system where the x-axis represents time in minutes and the y-axis represents Kiran's distance from home in blocks. We can label the points on the graph corresponding to Kiran's position at different times, as follows:

At time zero, Kiran is at home, which is 0 blocks away from home.

At time three, Kiran reaches the store, which is 3 blocks away from home.

At time five, Kiran reaches the bank, which is 6 blocks away from home (3 blocks from the store plus 3 blocks from home).

At time nine, Kiran reaches home again, which is 0 blocks away from home.

To create the graph, we can plot these points and connect them with a line, as shown in the attached image.

Graph showing Kiran's distance from home over time

From the graph, we can see that Kiran is farthest from home (6 blocks away) at time 5, when he reaches the bank. He spends the most time away from home (9 minutes) during his entire journey.

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Answer:

35 days

Step-by-step explanation:

Andrew brings juice for lunch every 5 days and Hannah brings juice every 7 days

Find the lowest common multiple of 5 and 7

Andrew (every 5 days) = 10, 15, 20, 25, 30, 35, 40, 45, 50

Hannah (every 7 days) = 14, 21, 28, 35, 42, 49, 56

The lowest common multiple of 5 and 7 is 35

Therefore, if Andrew and Hannah both brought juice today, it will take 35 days before they will both bring food again on the same day.

This triangle is not possible.

A triangular field has sides of lengths 29, 35, and 51 miles. The largest angle of the triangle can be calculated using the Law of Cosines, which is a generalization of the Pythagorean Theorem.

Law of Cosines:The Law of Cosines is a mathematical tool used to calculate the length of a side or the size of an angle of a non-right triangle. It states that the square of any side of a triangle is equal to the sum of the squares of the other two sides,

minus twice the product of these two sides and the cosine of the angle between them.Mathematically, the law of cosines is expressed as: `a^2 = b^2 + c^2 - 2bc cos A`,

where `a` is the unknown side, and `b` and `c` are the known sides of the triangle, and `A` is the angle between sides `b` and `c`.We can use the Law of Cosines to find the largest angle in the triangle as follows:Let `A` be the largest angle,

which is opposite the longest side `51 mi`.Using the Law of Cosines, we have:`

a^2 = b^2 + c^2 - 2bc cos A``51^2 = 29^2 + 35^2 - 2(29)(35) cos A``2601 = 1681 + 1225 - 2030 cos A``2030 cos A = 1225 + 920``cos A = (1225 + 920)/2030``cos A = 2145/2030``cos A ≈ 1.057139``A = cos^-1 (1.057139)`

Since the cosine function is only defined for values between -1 and 1, `1.057139` is not a valid value for `cos A`.

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Applying the formula for integrating u^n * sin(u) to the second integral, we have:

∫(-x^2 * sin(x)sin(4))dx = -x^2 * cos(x)sin(4) + 2∫(-x * cos(x)sin(4))dx.

To evaluate the integral ∫(x^2sin(x-4))dx using the given formulas, we first need to rewrite the integrand in the form of the given formulas.

Let's start by noticing that we have x^2 multiplied by sin(x-4). We can rewrite this expression as x^2 * (sin(x)cos(4) - cos(x)sin(4)) using the trigonometric identity for sin(A-B).

Now we have two terms: x^2 * sin(x)cos(4) and -x^2 * cos(x)sin(4).

Using the formula for integrating u*cos(u), we can integrate the first term as follows:

∫(x^2 * sin(x)cos(4))dx = -x^2 * cos(x)cos(4) + sin(x)cos(4) - ∫(-x^2 * cos(x)cos(4))dx.

Next, we use the formula for integrating u*sin(u) to integrate the second term:

∫(-x^2 * cos(x)sin(4))dx = -x^2 * sin(x)sin(4) - cos(x)sin(4) + ∫(-x^2 * sin(x)sin(4))dx.

Now we have two integrals that can be evaluated using the formula for integrating u^n * cos(u) and the formula for integrating u^n * sin(u).

Applying the formula for integrating u^n * cos(u) to the first integral, we have:

∫(-x^2 * cos(x)cos(4))dx = -x^2 * sin(x)cos(4) - 2∫(-x * sin(x)cos(4))dx.

We now have two more integrals to evaluate, but they follow the same pattern as before. By applying the formulas iteratively, we eventually reach integrals that can be easily evaluated.

After evaluating all the integrals, we combine the results to obtain the final expression.

Note: Due to the complexity of the expression and the iterative nature of the process, the final answer cannot be provided within the given word limit.

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Answer:

Hello your answer should be A symmetric property

Step-by-step explanation:

hope this helps

Symmetric property of equality to show that 3a = 4b, then 4b = 3a?

The symmetric property of equality is a simple property that says we can interchange the sides of an equation without changing the truth-value of the equation. That is, if a = b, then b = a. Each side of the equation can be thought of as the mirror image of the other

We have the following information available from the question is:

We have to determine the which property can be used to show that if 3a = 4b, then 4b = 3a

Now, According to the question:

3a = 4b

4b = 3a (both are equal)

This property is used to simplify the equations, to reverse the equations, and also for proofs in numerical and non-numerical logic.

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1)

Surface area of rectangular prism:

SA = 2( hw + lw + lh )

h= height of prism .

w = width of prism .

l = length of prism .

Substitute the values,

h= 4m

w=1.2 m

l= 13.4 m

SA = 2(4*1.2 + 13.4*1.2 + 13.4*4)

SA = 148.96 m²

2)

Surface area of triangular prism:

SA = (S1 +S2 + S3)L + bh

h= height of prism .

b = base of prism .

S1 , S2 , S3 = sides of triangle .

Substitute the values,

SA = (3+ 4 + 0.5)4 + 0.5*3

SA = 31.5 in²

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Answer:

The first box : -4  the second one : 6

Step-by-step explanation:

subtract 7 from 3 for the first box, then add 10 to -4 for the second one.

Answer:

$30

Step-by-step explanation:

Answer:

subtract 41 from 71 and you'll get $30

9.3 ft³

use the rule:

\(\rightarrow \sf (\dfrac{V_1}{V_2} )= (\dfrac{h_1}{h_2} )^3\)

solve:

\(\rightarrow \sf (\dfrac{74\frac{2}{5} }{V_2} )= (\dfrac{10\frac{1}{3} }{5\frac{1}{6} } )^3\)

\(\rightarrow \sf (\dfrac{74\frac{2}{5} }{V_2} )= (2 )^3\)

\(\rightarrow \sf \dfrac{74\frac{2}{5} }{V_2} =8\)

\(\rightarrow \sf V_2 = \dfrac{74\frac{2}{5} }{8}\)

\(\rightarrow \sf V_2 = 9.3 \ ft^3\)

Answer:

Given:

\(\sf Height \ of \ Prism \ X = 10\frac13=\dfrac{(10 \times 3)+1}{3}=\dfrac{31}{3}\)

\(\sf Height \ of \ Prism \ Y = 5\frac16=\dfrac{(5 \times 6)+1}{6}=\dfrac{31}{6}\)

\(\sf Volume\ of \ Prism \ X = 74\frac25=\dfrac{(74 \times 5)+2}{5}=\dfrac{372}{5}\)

Prism X is a dilation of Prism Y.

⇒ Scale factor of dilation = height of Prism X ÷ height of Prism Y

                                          \(\sf =\dfrac{31}{3} \div \dfrac{31}{6}\)

                                          \(\sf =\dfrac{31}{3} \times \dfrac{6}{31}\)

                                          \(\sf =\dfrac63\)

                                          \(\sf =2\)

If Prism X is a dilation of Prism Y by scale factor 2, then Prism Y is a dilation of Prism X by scale factor \(\frac12\).

To find the volume of Prism Y, we simply need to multiply the volume of Prism X by the cube of scale factor \(\frac12\), since volume is measured in cubic units.

\(\sf \implies volume \ of \ Prism \ Y = volume \ of \ Prism \ X \times (scale \ factor)^3\)

                                    \(\sf = \dfrac{372}{5} \times \left(\dfrac12\right)^3\)

                                    \(\sf = \dfrac{372}{5} \times \dfrac18\)

                                    \(\sf =\dfrac{372}{40}\)

                                    \(\sf =\dfrac{93}{10}\)

                                    \(\sf = 9 \frac{3}{10} \ ft^3\)

Step-by-step explanation:

the first video man and share with you search the Internet resources to help you find the best service providers to get your free and

Probability = # of desired options / # of total options

Our desired option is blue and there are 9 blue marbles in the bag.

There are 32 total marbles (options) in the bag.

P(blue) = 9 / 32 = 0.28125 = 28.125%

Hope this helps!

Answer:

$57. 75

Step-by-step explanation:

16.5 x 3.5 equals 57. 75

A man who weighs 150 pounds is one standard deviation below the mean weight for men aged 18 to 24.

In your case, you have been given the mean weight and standard deviation of men aged 18 to 24, which is a normal distribution. Now, if you want to find the standardized score or z-score for a particular weight, you can use the following formula:

z = (x - μ) / σ

where z is the standardized score, x is the weight you want to find the z-score for, μ is the mean weight, and σ is the standard deviation.

Let's say you want to find the z-score for a man who weighs 190 pounds. Using the formula above, we get:

z = (190 - 170) / 20

z = 1

This means that a man who weighs 190 pounds is one standard deviation above the mean weight for men aged 18 to 24.

Similarly, if you want to find the z-score for a man who weighs 150 pounds, we get:

z = (150 - 170) / 20

z = -1

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Answer:

Step-by-step explanation:

8) a) In a parallelogram, opposite sides are equal and parallel.

               BC = AD

         12x - 1 = x  + 21

         12x      = x + 21  + 1

              12x = x + 22

         12x - x = 22

                11x = 22

                  x = 22 ÷ 11

                 x = 2

AD = x + 21

     = 2 + 21

AD = 23

In a parallelogram, adjacent angles are supplementary.

   ∠A + ∠D = 180°

\(\sf y - 9 + \dfrac{y}{2}=180\\\\ \dfrac{2y}{2}+\dfrac{y}{2}=180+9\\\\\)

        \(\dfrac{3y}{2}=189\\\\y =189*\dfrac{2}{3}\\\\y=63*2\\\\y = 126\)

∠D = 126 ÷2

     = 63

In parallelogram, opposite angles are congruent.

 ∠B = ∠D

   ∠B = 63°

Answer:

17:53=5:53pm

Step-by-step explanation:

Answer:

The probability that next year Greenville will receive the following amount of rainfall A) At most 55 inches of rain is 0.7734, B) at least 62 inches of rain is 0.0516, C) Between 46 and 55 inches of rain is 0.0387

D Having rainfall of above 65 inches would be considered as an extremely wet year

Step-by-step explanation:

A. To find the probability that next year Greenville will receive at most 55 inches of rain we would have to make the following calculation:

P(X<55)

=P((X-mean)/s<(55-49)/8)

=P(Z<0.75)

=0.7734

The probability that next year Greenville will receive at most 55 inches of rain is 0.7734

B. To find the probability that next year Greenville will receive at most 62 inches of rain we would have to make the following calculation:

P(X>62)

=P(Z>(62-49)/8)

=P(Z>1.63)

=0.0516

The probability that next year Greenville will receive at most 62 inches of rain is 0.0516

C. To find the probability that next year Greenville will receive at Between 46 and 55 inches of rain we would have to make the following calculation:

P(46<X<54)

=P((46-49)/8 <Z<(54-49)/8)

=P(-0.38 <Z< 0.63)

=0.3837

The probability that next year Greenville will receive Between 46 and 55 inches of rain is 0.3837

D. Here consider a value that is more two standard deviations above the mean as an unusual vale. That is:

X=2σ+μ

=2(8)+49

=65

Therefore, having rainfall of above 65 inches would be considered as an extremely wet year.

Answer:

6x³

Step-by-step explanation:

X x X = x² + 4x + 2x = 6x³

The only thing we can say about the line is that x = 12 is a vertical line.

Remember that the general linear equation is:

a*x + b*y = c

Particularly, if we take b = 0, the dependence on y disappears, and then we get a vertical line.

This is just a vertical line that crosses the x-axis at x = 12. (and never crosses the y-axis).

So the only correct option is the first one.

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Answer:

1. Vertical Line

Step-by-step explanation:

I finally was able to answer

Step-by-step explanation:

2x-3x-18≥0

2x-3x≥18

factorise

x(2-3)≥18

x≥\(\frac{18}{(2-3)}\)

I hope this helped but i've done this in the way my tutor taught me :)

Answer:

427

Step-by-step explanation:

first you have to find the difference between -13 and -8 so we do -13 minus -8 which gives us -13 +8 which is -5. so -13+5=-8 then we try plugging in 5 to the next two numbers -8+5=-3 so the pattern is +5 so now we can do 5*88=440 so now we do -13+440=427

Answer:

20 because 40 is a positive and spent is negative

Step-by-step explanation:

Answer:

Step-by-step explanation:

The amount of money that Ms. Gonzalez spends on small folders than large folders will be $12.75.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Ms. Gonzalez buys folders for her office. She buys 4 small folders for every 1 large folder. She buys 15 folders in all. Small folders cost $0.75, and large folders cost $1.25.

Let 'x' be the number of small folders and 'y' be the large folders. Then the equations are given as,

x + y = 15          ...1

y = 4x              ...2

From equations 1 and 2, then we have

x + 4x = 15

5x = 15

x = 3

Then the value of 'y' is given as,

3 + y = 15

y = 12

The cost of the small folder is given as,

⇒ $0.75 × 3

⇒ $2.25

The cost of the large folder is given as,

⇒ $1.25 × 12

⇒ $15

The difference is given as,

⇒ $15 - $2.25

⇒ $12.75

The amount of money that Ms. Gonzalez spends on small folders than large folders will be $12.75.

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An inequality to represent the dollar amounts d in cash and prizes Regan can win is p + d ≥ 500.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, Regan won the grand prize at a store giveaway. The grand prize winner is guaranteed to win at least $500 in cash and prizes.

Let d represent the amount of cash in dollars and p represent the amount of prizes.

Since the  grand prize winner is guaranteed to win at least $500,

So, p + d ≥ 500

Therefore, an inequality to represent the dollar amounts d in cash and prizes Regan can win is p + d ≥ 500.

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The reference angles of -320 is 40 degrees and the reference angle of 19π/12 is 5π/12

From the question, we have the following parameters that can be used in our computation:

Angle = -320

The reference angle is caculated as

Reference = 360 + Angle

So, we have

Reference = 360 - 320

Evaluate

Reference = 40

For the other angle, we have

θ = 19π/12

The above angle is in the fourth quadrant

So, we subtract it from 2π to calculate the reference angle

Using the above as a guide, we have the following:

Reference angle = 2π - 19π/12

Evaluate the difference

Reference angle = 5π/12

Hence, the reference angle is 5π/12

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Answer:

B i believe

Step-by-step explanation:

Factor of polynomial m are 0,   6n⁴.

What is polynomial in maths?

A polynomial is an expression in mathematics made up of variables (also known as indeterminates) and coefficients, and it only uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of the variables. The polynomial x2 4x + 7 is an illustration of one with a single indeterminate x.

= 30m³n⁴ - 5m⁴

= 5m³(6n⁴ - m )

let 5m³(6n⁴ - m ) = 0

       5m³ = 0

         m = 0

 6n⁴ - m = 0

      m =   6n⁴

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Answer:

Shortest Path : A-C, C-Z

Shortest possible time = 143

Step-by-step explanation:

P.S - The exact question is -

Given -

T1 = 38

T2 = 52

T3 = 63

T4 = 67

T5 = 91

T6 = 62

T7 = 64

To find - What is the shortest path and what is the shortest possible time to travel from A to Z ?

Proof -

Choices for shortest path is -

Choice 1 : A-B, B-E, E-Z ;

Choice 2 : A-C, C-Z ;

Choice 3 : A-B, B-D, D-Z

Now,

For Choice 1 : A-B, B-E, E-Z

Distance between A-B = T1 = 38

Distance between B-E = T4 = 67

Distance between E-Z = T7 = 64

So,

The distance = 38 + 67 + 64 = 169

Now,

For Choice 2 : A-C, C-Z

Distance between A-C = T2 = 52

Distance between C-Z = T5 = 91

So,

The distance = 52 + 91 = 143

Now,

For Choice 3 : A-B, B-D, D-Z

Distance between A-B = T1 = 38

Distance between B-D = T3 = 63

Distance between D-Z = T6 = 62

So,

The distance = 38 + 63 + 62 = 163

∴ By comparing we get

Shortest Path = A-C, C-Z

Shortest possible time = 143

The shortest path is A→C→Z and the shortest possible time is 143 units option second is correct.

It is given that the traveler is trying to determine the fastest way to travel from city A to city Z.

It is required to find the shortest path and the shortest possible time to travel from A to Z.

It is defined as the path in which all the sum of the path will be shortest in a weighted diagram known as the shortest path.

We have the time required to travel from A to B is T1 = 38 units

Similarly, for the path A to C is T2= 52 units

For the path B to D is T3= 63 units

For the path B to E is T4 = 67 units

For the path C to Z is T5 = 91 units

For the path D to Z is T6 = 62 units

For the path E to Z is T7 = 64 units

For the path A→B→E→Z

The total time required = T1+T4+T7

                                       = 38+67+64 ⇒169 units.

For the path A→C→Z

The total time required = T2+T5

                                       = 52+91 ⇒143 units.

For the path A→B→D→Z

The total time required = T1+T3+T6

                                       = 38+63+62 ⇒ 163 units.

Thus, the shortest path is A→C→Z and the shortest possible time is 143 units option seconds is correct.

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Answer:

Do it your self

Step-by-step explanation:

Gross

Answer:

30.5

Step-by-step explanation: