Answer:
28.75 degrees
Step-by-step explanation:
The missing angle in the triangle and 120 add up to 180 so the missing angle must be 60 degrees
all the angles of the triangle add up to 180 degrees so
x + 3x + 5 + 60 = 180
4x = 180 - 65
4x = 115
x = 28.75
Answer:
x = 28.75°
Step-by-step explanation:
First, you have to solve for the angle that is supplementary with 120°.
180° - 120° = 60°
The inside angles must add up to 180°, so the equation will be:
(3x+5)° + x° + 60° = 180° ––Now combine like terms (the x's)
(4x + 5)° + 60° = 180° ––Combine the like terms on the left (5 and 60)
4x° + 65° = 180° –– Get the x term all alone by subtracting 65 from both sides
4x° = 115° –– Divide both sides by 4 to get x by itself
x = 28.75°
Check by substituting:
[(3•28.75)+5]° + 28.75° + 60° = 180
(86.25 + 5)° + 28.75° + 60° = 180°
91.25° + 28.75° + 60° = 180°
120° + 60° = 180°
180° = 180°
This is correct.
The slope of the tangent line to the curve y= 3/x
at the point 5, 3/5 is-
The equation of this tangent line can be written in the form y = mx + b
where:
m is:
b is:
The tangent line at that point is:
y = (-3/25)*x + 6/5
so m = -3/25, and b = 6/5
How to find the slope of the tangent line?To find the slope at that point, we need to evaluate the derivative at that point.
y = 3/x
The derivative is:
y' = -3/x²
When x = 5, we have:
y' = -3/5² = -3/25
So that is the slope, m.
Now let's find the line.
The line must pass trhough the point (5, 3/5), then:
3/5 = (-3/25)*5 + b
3/5 = -3/5 + b
3/5 + 3/5 = b
6/5 = b
The equation of the line is:
y = (-3/25)*x + 6/5
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Angle ACB and angle ECD are
angles.
vertical
complementary
supplementary
none of the above
Answer:
vertical
Step-by-step explanation:
When two lines intersect, 4 angles are formed. Two non-adjacent angles are called vertical angles.
Answer: vertical
Answer:
Vertical
Step-by-step explanation:
Just did the lesson and checked the answer key :D
evaluate the graph and deturmin if y is a function of x.
We know a function is determined by the following condition:
each value of x (input) has one value of y (output) related.
Using the vertices line test we have that there are not inputs with more than one output.
But there are x values with no y values related, then this is a function but this is not a function of x, because there are x values with no output.
Answer: y is not a function of x, it is a function of a subset of x5(-3c-6w); c= 5 and w= -2
- 15
Step-by-step explanation:Hi there !
5(-3c - 6w) =
replace c = 5 ; w = - 2
= 5(-3×5 - 6×-2)
= 5(- 15 + 12)
= 5×-3
= - 15
Good luck !
(-)(-) = +
(-)(+) = -
solve for x solve for x solve for x solve for x solve for x
Answer:
110°
Step-by-step explanation:
180°-60°-50°=70°
×=180°-70°=110°
Answer:
x = 110
Step-by-step explanation:
x = A + B (Exterior angle Property)
=> x = 50 + 60
=> x = 110
Each of 6 students reported the number of movies they saw in the past year. Here is what they reported. 14, 11, 15, 19, 12, 10 Send data to calculator Find the mean number of movies that the students saw. If necessary, round your answer to the nearest tenth. movies X Ś
The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).
To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.
To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.
So, let's calculate the mean:
(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5
Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).
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Please look at the pic and help!!
Answer:
4x² + 22x - 12
Step-by-step explanation:
A = bh/2
A = (4x - 2)(2x + 12)/2
A = (8x² + 48x - 4x - 24)/2
A = (8x² + 44x - 24)/2
A = 4x² + 22x - 12
What is the quotient of 67,860 ÷ 13?
4,120
4,220
5,120
5,220
Answer:
If 67860÷13,then quotient =5220Answer
If segment AB measures 2 cm, how long is A'B? Explain.
Transformation involves moving a segment away from its original location.
The length of A'B' is 2cm
The length of AB is given as:
\(AB = 2cm\)
From the complete question, we understand that AB was translated to A'B'
Translation is a rigid transformation.
This means that it does not alter the length of the segment that is being translated.
So, the length of A'B' is represented as:
\(A'B' = AB\)
Substitute 2cm for AB
\(A'B' =2cm\)
Hence, the length of A'B' is 2cm
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CAN SOMEONE HELP WITH THIS QUESTION?✨
The values of the trigonometric functions sin(∅) and cos(∅) are -1/2 and \(\frac{\sqrt{3} }{2}\) respectively.
What are trigonometric functions?The trigonometric functions and identities are the ratio of sides of a right-angled triangle. The sides of a right triangle are the perpendicular side, hypotenuse, and base, which are used to calculate the sine, cosine, tangent, secant, cosecant, and cotangent values using trigonometric formulae.
if ∅ = \(\frac{11\pi }{6}\) rad converting to degree
we know that \(\pi\) rad = 180°
which means ∅ in degrees = 11/6 x 180 which is 330°
sin(330) = -1/2
cos(330) = \(\frac{\sqrt{3} }{2}\)
In conclusion, the function values of the sin(∅) and cos(∅) are -1/2 and \(\frac{\sqrt{3} }{2}\)
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sue eats 3/8 of a cherry pie. Jan
eats
Answer:
If you're saying Jan ate 1/4 of what was left. How much of the pie did Jan eat?
then the answer is 5/32
Step-by-step explanation:
If 6 -x = 12, what is x - 6?
Answer: x - 6 = -12
Step-by-step explanation: first, we'll solve for x in 6 - x = 12. We'll isolate the variable by subtracting 6 from both sides, which gives us -x = 6. Now we'll divide both sides by -1 to get x and we will get -6 = x. So for the expression, we'll sub in the value we got for x from the equation, -6. -6 - 6 = -12.
Answer:
-12
Step-by-step explanation:
What is the present value of R13 000 p.a. invested at the beginning of each year for 8years at 10%p.a. compound interest? (NB Use the compound interest tables provided or work to three decimal places only.)
Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:
PV = A *\((1 - (1 + r)^(-n)) / r\)
Where:
PV = Present value
A = Annual payment or cash flow
r = Interest rate per period
n = Number of periods
In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).
Using the formula and substituting the given values, we can calculate the present value:
PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)
Calculating this expression:
PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)
= 13000 * (1 - 0.46318) / 0.10
= 13000 * 0.53682 / 0.10
= 6977.66 / 0.10
= 69776.6
Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
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5. A fruit concentrate is sold in 250 mL packs. The instructions are 'Add water to make one litre of ready-to-drink fruit juice'.
A. What is the ratio of concentrate to water in the made-up juice?
B. How many litres of water are required to dilute 2 L of concentrate?
C. Find the volume of water in 6 L of made-up juice.
D. If one litre of made-up juice fills 5 glasses, how many packs of concentrate are needed to make the juice to fill 80 glasses?
-7 (8s + 9f) if s = -5 and f = -3
Answer:
469
Step-by-step explanation:
Substitute -5 and -3 into the equation:
-7(8 (-5) + 9 (-3)
-7(-40 - 27)
-7(-67)
+469
Can you please help me
The area of a circle is given by the following expression:
\(A=\pi r^2\)Where A is the area and r is the radius of the circle.
According to the picture, the diameter of the circle is given. We can find the radius by dividing the diameter by 2, this way:
\(r=\frac{D}{2}=\frac{12}{2}=6\)The radius of the circle is 6 in.
Use this value and the expression given to find the area of the circle, this way:
\(\begin{gathered} A=\pi(6)^2 \\ A=36\pi \\ A=113.09 \end{gathered}\)Replacing r by 6 we obtain that the area of the circle is 113.09 in^2.
Two pools are being filled with water. To start, the first pool contains 707 liters of water and the second pool is empty. Water is being added to the first pool at a
rate of 18.25 liters per minute. Water is being added to the second pool at a rate of 43.5 liters per minute.
After how many minutes will the two pools have the same amount of water?
How much water will be in each pool when they have the same amount?
Let t be the number of minutes that have passed since water started being added to the two pools. The total amount of water in the first pool after t minutes is 707 + 18.25t liters, and the total amount of water in the second pool after t minutes is 43.5t liters. We are looking for the value of t that makes these two quantities equal, which represents the time when the two pools have the same amount of water.
We can set the two quantities equal to each other and solve for t to find the value of t that makes the two pools have the same amount of water:
707 + 18.25t = 43.5t
707 = 25.75t
t = 27.5
Therefore, after 27.5 minutes, the two pools will have the same amount of water.
To find the amount of water that will be in each pool when they have the same amount of water, we can substitute the value of t that we found above into the expressions for the total amount of water in each pool:
First pool: 707 + 18.25 * 27.5 = 707 + 501.875 = 1208.875
Second pool: 43.5 * 27.5 = 1208.875
Therefore, when the two pools have the same amount of water, each pool will have 1208.875 liters of water.
49 pt = _ fl oz :DDDDD
Answer:
784
Step-by-step explanation:
each 1 PT = 16 FL Oz
49*16=784
EXERCISE 7B-1 Activity-Based Costing Product Costs for External Reports (LO7) answer
ABC is an important tool for companies to utilize when they need to accurately assess their product costs and make decisions based on that information. ABC can also be used to create external reports that show customers and other stakeholders the cost of a product.
What comes under external reports?External reports are documents that are created by outside organizations or individuals and contain information that is relevant to a particular company or industry. They are used to provide insight and data that can help an organization make informed decisions.
Activity-based costing (ABC) is a method of product costing that assigns costs to products based on the activities that go into producing them. It is used to decide how much it costs a company to make a product, and then the company can use this information to set prices and make pricing decisions. With ABC, companies track the costs associated with activities and assign those costs to the products that use the activities. This is different from traditional costing methods that allocate costs to products based on a single cost driver, such as machine hours or direct labor hours. ABC is a more accurate way of determining the cost of a product because it takes into account all of the activities that go into making it. ABC can also be used to create external reports that show customers and other stakeholders the cost of a product. These reports can help a company make decisions about pricing and production efficiency, and can also be used to compare products and services to competitors. ABC is an important tool for companies to utilize when they need to accurately assess their product costs and make decisions based on that information.
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ABC is an impοrtant tοοl fοr cοmpanies tο utilize when they need tο accurately assess their prοduct cοsts and make decisiοns based οn that infοrmatiοn. ABC can alsο be used tο create external repοrts that shοw custοmers and οther stakehοlders the cοst οf a prοduct.
What cοmes under external repοrts?External repοrts are dοcuments that are created by οutside οrganizatiοns οr individuals and cοntain infοrmatiοn that is relevant tο a particular cοmpany οr industry. They are used tο prοvide insight and data that can help an οrganizatiοn make infοrmed decisiοns.
Activity-based cοsting (ABC) is a methοd οf prοduct cοsting that assigns cοsts tο prοducts based οn the activities that gο intο prοducing them. It is used tο decide hοw much it cοsts a cοmpany tο make a prοduct, and then the cοmpany can use this infοrmatiοn tο set prices and make pricing decisiοns. With ABC, cοmpanies track the cοsts assοciated with activities and assign thοse cοsts tο the prοducts that use the activities. This is different frοm traditiοnal cοsting methοds that allοcate cοsts tο prοducts based οn a single cοst driver, such as machine hοurs οr direct labοr hοurs.
ABC is a mοre accurate way οf determining the cοst οf a prοduct because it takes intο accοunt all οf the activities that gο intο making it. ABC can alsο be used tο create external repοrts that shοw custοmers and οther stakehοlders the prοduct cοst . These repοrts can help a cοmpany make decisiοns abοut pricing and prοductiοn efficiency, and can alsο be used tο cοmpare prοducts and services tο cοmpetitοrs. ABC is an impοrtant tοοl fοr cοmpanies tο utilize when they need tο accurately assess their prοduct cοsts and make decisiοns based οn that infοrmatiοn.
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Complete question:
What Activity-Based Costing in Product Costs for External Reports?
Hello Please Answer Quickly:
Answer:
17 1/30
Step-by-step explanation:
Answer:
The answer is 1/6.
53/6 is the largest and -26/3 is the smallest.
The water usage at a car wash is modeled by the equation W(x) = 5x3 + 9x2 − 14x + 9, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours. Write a function, C(x), to model the water used by the car wash on a shorter day. C(x) = 5x3 + 7x2 − 14x − 6 C(x) = 4x3 + 7x2 − 14x + 6 C(x) = 4x3 + 7x2 − 14x − 6 C(x) = 5x3 + 7x2 − 14x + 6
Which comparison is not correct?
1. 0<-4
2. -9<1
3. 2>-3
4. -7<-5
Answer:
0<-4
Step-by-step explanation:
0 is greater than -4 (-4 + 4 = 0)
Answer:
1. 0 is less than -4 is incorrect, so you should pick that one.
Step-by-step explanation:
A whole number is always greater than a negative number, so in this case 0 is actually more than -4.
Hope this helps!
Tina say 25 dimes than nickles. The saved six times as many dimes as Nickles. How much money did she save it all
Answer:
$3.25
Step-by-step explanation:
source : my friends and m4thw4y
draw the dot plot of the distribution of possible data values that has the largest possible standard deviation (there were ten people at the talk, so there should be ten dots on your dot plot)
The dot plot consists of ten dots, each representing the data value of a single person at the talk. The data values are spread out as far as possible, resulting in the largest possible standard deviation.
A dot plot is a graph that is used to represent the distribution of data. It consists of dots, each of which represents a single data value. In this case, the dot plot represents the distribution of possible data values from a talk with ten people. To achieve the largest possible standard deviation, the data points should be spread out as far as possible. Each dot should be placed on the graph in such a way that the difference between any two adjacent data points is maximized. This is done by placing the highest and lowest values at opposite ends of the graph, and then evenly spacing out the remaining data points in between. All of this should result in the largest possible standard deviation of the data set.
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Find the area of the rectangle shown
7 1/2 ft
5 1/4ft
Answer:
39 3/8 ft ^2
Step-by-step explanation:
To find the area of a rectangle, multiply the length times the width.
A = l*w
= 7 1/2 * 5 1/4
Change the mixed numbers to improper fractions.
A = 15/2 * 21/4
=315/8
Change back to a mixed number.
8 goes into 315 39 times with 3 left over.
= 39 3/8
Answer:
Area = 39.375 ft²
(you can round to 39.4)
Step-by-step explanation:
Find the area of the rectangle shown
7 1/2 ft
5 1/4ft
7 1/2 = 7.5 ft
5 1/4 = 5.25 ft
Area = L x W
Area = 7.5 x 5.25
Area = 39.375
3(4x - 6) - 2x + 1 = 3 - (3x - 6)?
What are three consecutive multiples of 3 if 2/3
of the sum of the first
two numbers is 1 greater than the third number?
The three consecutive multiples of 3 are 15, 18 and 21
To solve this problem
First, let's determine three successive multiples of 3:
The subsequent two would be "x+3" and "x+6" if we call the initial number "x".
Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:
2/3(x + x+3) = (x+6) + 1
Simplifying this equation, we get:
2/3(2x+3) = x+7
Multiplying both sides by 3, we get:
2(2x+3) = 3(x+7)
Expanding and simplifying, we get:
4x + 6 = 3x + 21
Subtracting 3x and 6 from both sides, we get:
x = 15
Therefore, the three consecutive multiples of 3 are 15, 18 and 21
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the difference between the measure of two supplementary angles is 92. find the measure of both angles.
The measure of both angles on calculation is found to be 44° and 136° respectively.
What are supplementary angles ?
Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°. Similarly, complementary angles add up to 90 degrees.
Given : difference between the measure of two supplementary angles is 92 .
Let the two angles be x and y then , x - y = 92
Since , supplementary angles add up to 180 degrees
x + y = 180 (say 1)
x - y = 92(say 2)
---------------add(1 & 2)
2x = 272
x = 272/2
x = 136 <=== this is one angle
x + y = 180
136 + y = 180
y = 180 - 136
y = 44 <=== this is the other angle
Hence , the measure of both angles on calculation is found to be 44° and 136° respectively.
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Wei Jing has between 70 and 150 baseball
cards in his collection. When he arranges them
in groups of 10, he has 3 left over. When he
arranges them in groups of 9, he has 5 left
over. If he arranges them in groups of 8, how
many will he have left over?
The number of baseballs which Wei Jing would have left if he arranged them in groups of 8 as required is; 1.
What is the number of baseballs left if the arrangement is in groups of 8?According to the task content;
Since the number of baseballs available is between; 70 and 150 and
When he arranges them in groups of 10, he has 3 left over.
The possible numbers are; (70 + 3), (80 + 3), (90 + 3), (100 + 3), (110 + 3), (120 + 3), (130 + 3), (140 + 3).
Therefore, the possible numbers according to the first condition are; 73, 83, 93, 103, 113, 123, 133, 143.
Also, When he arranges them in groups of 9, he has 5 left over, the possible numbers are; ( 72 + 5 ), ( 81 + 5 ), ( 90 + 5 ), ( 99 + 5 ), ( 108 + 5 ), ( 117 + 5 ), ( 126 + 5 ), ( 135 + 5 ), ( 144 + 5 ).
Therefore, the possible numbers according to the second condition are; 77, 86, 95, 104, 113, 122, 131, 140, 149.
On this note, by comparison; Only 113 is common to the both sets of numbers.
Hence, the number in discuss is; 113.
Ultimately, if the arrangement is in groups of 8; it follows that the remainder would be; 1 since; 113 / 8 = 14 ⅛.
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in the figure, GK bisects FGH
if FGK=7w+3 and FGH=104, find W.
7
3.5
14.43
52
PLEASE HELP ME!!!!
Answer:
\( w = 7 \)
Step-by-step explanation:
Given:
m<FGK = (7w + 3)°
m<FGH = 104°
angle bisector of <FGH = GK
Required:
Value of w
SOLUTION:
Since GK bisects angle FGH, it divides the angle into two equal parts. Therefore, the following equation can be generated to find the value of w:
m<FGH = 2*m<FGK
\( 104 = 2*(7w + 3) \) (substitution)
Divide both sides by 2
\( \frac{104}{2} = \frac{2*(7w + 3)}{2} \)
\( 52 = 7w + 3 \)
Subtract 3 from each side
\( 52 - 3 = 7w + 3 - 3 \)
\( 49 = 7w \)
Divide both sides by 7
\( \frac{49}{7} = \frac{7w}{7} \)
\( 7 = w \)
\( w = 7 \)