If x = 7 units, y = 3 units, and h = 9 units, find the area of the trapezoid shown above using decomposition.

Answers

Answer 1

Answer:

Area = 45

Step-by-step explanation:

Solve:

Now using the formula if:

x = 7

y = 3

h = 9

Area = (X+Y)(h)

Area = (7+3)(9)

Area = (10)(9)

Area = 90

Kavinsky


Related Questions

ill give brainly and 10 points

Answers

Answer:

[tex]78 \frac{3}{4}[/tex]

Step-by-step explanation:

[tex]V = 5 * 3 \frac{1}{2} * 4 \frac{1}{2} = 78 \frac{3}{4}[/tex]

Answer:

78 3/4

Step-by-step explanation: 4 1/2 x 5 x 3/12 = 78 3/4

PLEASE HELP ASAP!!! The table shows the colors of the cars sold from a dealership over the last month. Based on this information which prediction about next month's car sales is most reasonable?

Answers

Answer:

answer is A cause white cars are cheaper

Step-by-step explanation:

they are cheaper than colored cars

Answer:

I would say c

Step-by-step explanation:

In the chart given when you compare the blue and silver cars, you can notice that the silver cars are twice the amount sold than the blue cars

Find the radius of the circle with the given diameter.
1. 8 inches

Answers

Answer:

The radius of a circle with a dimeter of 1.8 inches is 0.9 inches.

Step-by-step explanation:

To find the radius of a circle from diameter, you divide the diameter by 2.

When we divide 1.8 by 2 we get 0.9.

can someone help please thank you

Answers

Answer:

The length of a pencil is 4.5 inches. The length of a crayon is 2.1 inches.

Step-by-step explanation:

Let pencils be p

Let crayons be c

6 pencils and 5 crayons are 37.5 inches. This will be:

6p + 5c = 37.5 ........ equation 1

7 pencils and 6 crayons are 44.1 inches. This will be:

7p + 6c = 44.1 ........ equation 2

Multiply equation 1 by 7

Multiply equation 2 by 6

42p + 35c = 262.5 (3)

42p + 36c = 264.6 (4)

Subtract 4 from 3

c = 2.1

Plug the value of c into equation 1

From equation 1

6p + 5c = 37.5

6p + 5(2.1) = 37.5

6p + 10.5 = 37.5

6p = 37.5- 10.5

6p = 27

p = 27/6

p = 4.5

hope this helps

please can i get brainliest

can someone help me please

Answers

Answer:

x=2cm

Step-by-step explanation:

By using pythagoras theorem:

H²=P²+B²

x²=1.6²+1.2²

x=2cm

X equals 2cm I think I’m not sure

HELP URGENT PLEASE 50 POINTS

Answers

Answer:

864 inches

1ft/12in

Step-by-step explanation:

To find out how many inches are in this 72 foot tree simply divide 72 by 12

the reason we do this is because 12 inches are in 1 foot

and this comes out to 864inches

Answer:

864 inches

Step-by-step explanation:

Ive done this before

3. IN YOUR OWN WORDS How can you find the area of a circle?

Answers

Answer: you can find the area of a circle by multiplying the radius by pi and then squaring it by 2

Step-by-step explanation:

I´ll give brainliest to whoever answers this properly.

Answers

Answer:

I think it’s a

Step-by-step explanation:

It’s b. The answer is b

Use the number line to identify the least value, first quartile, median, third quartile, and greatest value of the data.

Donations (in dollars): 10, 30, 5, 15, 50, 25, 5, 20, 15, 35, 10, 30, 20

Answers

Answer:

least value is 5, median is 20, q1 is 10, q3 is 30, and the greatest value is 50.

Step-by-step explanation:

the least and greatest value is easy, just find the least and greatest numbers. median is in the very middle, so lay out the numbers least to greatest and find the middle. for q1 and q3, find the middle of the least value to median, and median to greatest value. hope this helps

Find the sum. sum_k=3*6 k-5/k-1

Answers

Based on the information provided, the answer of (K-5)/(K-1) if K=6x3 would be 13/17, or as a decimal, 0.764.

Find the radius of the circle with the given diameter.
3. 100 meters

Answers

Answer:

50 meters

Step-by-step explanation:

the diameter is just Rx2 (R being the radius)

and the radius is D divided by 2 (D is the diameter)

(PLS HELP MY TEACHER NEEDS ME TO PASS THIS!)

which is the solution to the system of equations shown in the graph below?

Answers

Answer:

Its 4, -3

Step-by-step explanation:

Always go in (x,y)

so you will go right first but the number are positive

then it is 4

then the second cross it occuring lower which is negative

then it is -3

so,

:• 4, -3

Answer: -4, -3

Step-by-step explanation:

To find the solution to a systems of equations on a graph, find the area where the 2 lines intersect, (in other context, come together, or share the same points). In this case, they come together at the point -4, -3.

Select all the values below that you can find or calculate when given only a dot plot

1.) mean

2.) median

3.) range

4.) IQR

5.) outliers

Answers

1,2,3,5 because you can’t find the IQR until you have a box and whisker plot
1, 2, 3, 5! You can’t find the IQR til you have a box and whisker plot!


Hope it helps

Please help, I'll give brainliest!

Answers

Step-by-step explanation:The given graph is a line graph, represents increasing and decreasing rainfall in six different years.The given graph misleads ,in terms of length, when amount of rainfall 4.6-3.9 is plotted with six different years 2006-2011. When rainfall decreases from 4.5 to 4.4, the decrease , in length of rectangle is less,should be equal, in comparison to when year increases from 2006 to 2007. It must be in the shape of Square.
Part B if instead of line graph, we will draw bar graph ,representing Amount of rainfall(4.5-3.0) on y axis in the month of July, to 6 different years from (2006-2011) on x axis,i think it will be least misleading.

Answer the question about "Paper Clips Used
there are 4 questions
please help me!!!!

Answers

Answer:

19. Other

20. 80

21. 125

22. per minor grid line it goes up by 10

Step-by-step explanation:

19 other
20 80
21 130
22 10

the best answer and explanation will get brainliest

Answers

Answer:

0

Step-by-step explanation:

0

SA=2.7066
Explanation: 2x(pi)3.14 x (the radius) 0.7979 squared + 2 x 3.14 x 0.7979 x 10= 2.7066

55. In a quality control procedure to test for defective light bulbs, two light bulbs are randomly selected from a large sample without replacement. If either light bulb is defective, the entire lot is rejected. Suppose a sample of 200 light bulbs contains 5 defective light bulbs. Find the probability that the sample will be rejected. (Hint: First calculate the probability that neither bulb is defective.)

Answers

Yea the 2 one because 200 yea yea yea yea yea yea yea yes yea

ill give brainly
How long would it take to travel 870 miles at the rate of 58 miles per hour?




5 h

10 h

15 h

25 h

Answers

Answer:

15 h

Step-by-step explanation:

miles/miles per hour= hours taken to travel

870miles/58miles per hour= 15 hours

Answer:

C. 15 h

Step-by-step explanation:

Just divide 870 from 58. Really isnt that hard!

BRAINLIESTTTT

Find the lowest common denominator for these fractions and then subtract and simplify.

7/12 and 1/3

A.4/12
B.6/24
C.1/4

Answers

The answer is 1/4

Step-by-step explanation:

All you had to do was make 1/3, 4/12 subtract 7/12 by 4/12 = 3/12 or 1/4!

The answer is 1/4
Bc the answer is 1/4 and bc I said so

Match each expression on the left with an equivalent expression on the right. Some answer choices on the right will not be used.

Answers

The first one is connected to 6,038 , the second is connected to 6.038, the third is 0.6038, and the last is connected to 60.38 you’re welcome! ^^

A lawn sprinkler sparys water 6 feet in all directions as it rotates

Find the area of the lawn that the sprinkler covers. use 3.14 for π

A 113.04²
B 37.68²
C 678.24²
D 18.84²

Answers

Answer:

(A) 113.04^2

Step-by-step explanation:

Area of a circle is found with: πr^2

in this we will replace π with 3.14

the radius is 6feet

first step: 6^2 = 36

second step:  3.14*36= 113.04^2

its B hope this helps :)))))

Write and solve a proportion to answer the question. (Skills Review Handbook) 21. 70% of what number is 98?

Answers

Answer:

451.61

Step-by-step explanation:

1) Set a linear equaion

[tex] \frac{98}{x} = \frac{21.70}{100} [/tex]

2) Cross multiply

[tex]21.70x = 98 \times 100[/tex]

3) Multiple the right side

[tex]21.70x = 9800[/tex]

4) Divide both side by 21.70

[tex] \frac{21.70x}{21.70} = \frac{9800}{21.70} [/tex]

5) Solve the linear equation

[tex]x = 451.6129032[/tex]

[tex]x≈451.61[/tex]

Then 21.70% of 451.61 is 98

hurry ill give brainly

Answers

its 15 because you have it 3 times. the mode is the number that you see the most.

Answer:

the answer is 15

Step-by-step explanation:

hope i helped :)

Must answer correctly don't put something random for points or getting reported

You have recently purchased a new backpack as show in the picture. The main section of the backpack is made of a rectangle gular prism. Use the diagram to find the volume of your new backpack, then explain how u calculated the answer. Use the pictures with the formulas to help also use the sentence starters.
Sentence Starters:
The volume of the large rectangular prism (the bottom part of the backpack) is __inᶾ.
The volume of the pocket, which is also a rectangular prism is _____ inᶾ.
The volume of the half cylinder, which is the top curve of the backpack, is _____ inᶾ.
When you add all three of these together, you get the total volume of _____ inᶾ.

Hint: Find the volume of each shape; there are 3 of them; two rectangular prisms and half of a cylinder, and then add all 3 of them together. For the cylinder, you only need half, so find the volume of the whole cylinder then divide it by 2 for half. )

Answers

Answer:

Main part of backpack V = 840 inᶾ

Front pocket of backpack V = 64 inᶾ

Top curve of the backpack V = 395.8406744 inᶾ

Total V = 1299.840674 inᶾ

Step-by-step explanation:

1.

As we know, the formula for the volume of a rectangular prism is width x height x length (V = whl).  We will use this formula to find the volume of the large rectangular prism (bottom part of the backpack) and the volume of the smaller rectangular prism (the pocket).  As for the cylinder, we know the formula for the volume of a cylindrical prism is pi x radius squared x height (V = πr^2h).  We will use this formula to find the volume of the half cylinder (top curve of the backpack).

2.

For the large rectangular prism (main part of the backpack), we are given:

w = 7in

h = 10in

l = 12in

Now let's incorporate our formula for the volume of a rectangular prism into this situation.

V = whl

V = 7 x 10 x 12

V = 840 inᶾ

3.

Now for the smaller rectangular prism (front pocket of backpack), we are given:

w = 2in

h = 4in

l = 8in

Now let's incorporate our formula for the volume of a rectangular prism into this situation.

V = whl

V = 2 x 4 x 8

V = 64 inᶾ

4.

Now to calculate volume for the half cylinder (top curve of the backpack), we must first imagine that this is a full, circular cylinder.  We are given:

r = 6in

h (which will be the same as the width of the backpack in this case scenario) = 7in

Now let's incorporate our formula for the volume of a rectangular prism into this situation.

V* = πr^2h

V* = π x 6^2 x 7

V* = 791.6813487 inᶾ (round this number if you must)

Now that we have the volume of a whole cylinder, we can halve it (divide by two) since we only need half of the cylinder.

V = V*/2

V = 791.6813487/2

V = 395.8406744 inᶾ (round this number if you must)

5.

Finally, we can add our volumes together to acquire the volume of the backpack as a whole!

Large rectangular prism (bottom part of the backpack) + Smaller rectangular prism (the pocket) + Half cylinder (top curve of the backpack) = Total Volume (Whole backpack)

Recall that:

Large rectangular prism (bottom part of the backpack) = 840 inᶾ

Smaller rectangular prism (the pocket) = 64 inᶾ

Half cylinder (top curve of the backpack) = 395.8406744 inᶾ

So:

Total Volume (Whole backpack) = 840 inᶾ + 64 inᶾ + 395.8406744 inᶾ

Total Volume (Whole backpack) = 1299.840674 inᶾ (round this number if you must)

Josh paid for 5 pounds of grapes with a $10 bill. He got back $7.50. What was the cost of 1 pound of grapes?

[A] $0.60
[B] $2.50
[C] $5.00
[D] $0.50

Answers

Step-by-step explanation:

5 pounds of grapes $2.5 (10-7.5)

1 pound of grapes = $0.5 (2.5/5)

choice D

Answer:

D, $0.50

Step-by-step explanation:

10 - 7.50 = 2.5

2.5 / 5 = 0.50

Hope this helps :D

Don't remind me that im loosing points for this :D


H e l p Thank youuu

Answers

Answer:

[tex]\boxed{\sf volume = 320 \ ft^3}[/tex]

Explanation:

Volume of triangular prism = 1/2 × Base × Height × Length

Identify the following:

Base: 6 2/3 ftHeight: 8 ftLength: 12 ft

Find Volume:

1/2 × 6 2/3 × 8 × 121/2 × 640320 ft³
Question :- Volume of the triangular prism.

Given in the figure:- height = 8 ftlength = 12ft width = 6⅔ ft

Formula:-Volume = area of triangle (2D ) × length Area of triangle = ½ × height× width

Explanation:-

[tex]Area \: of \: triangle = ½ × height× width \\ area = \frac{1}{2} \times 8 \times \frac{20}{3} \\ area = \frac{{ \cancel8} {}^{ \: \: 4} }{ \cancel2} \times \frac{20}{3} \\ area = \frac{80}{3} {ft}^{2} [/tex]

Now for volume :-

Volume = area of triangle (2D ) × length

[tex]volume = area \times length \\ vol = \frac{80}{3} \times 12 \\ vol = \frac{80}{ \cancel3} \times { \cancel{12}} {}^{ \: \: 4} \\ volume = 320 {ft}^{3} [/tex]

Answer:- volume = 320 ft³

A regular-size box of dog treats measures 3 1/4 inches by 7 1/2 inches by 12 inches. The manufacturer also sells a small-size box that has a volume that is 3/10 of the volume of the regular-size box.


What is the volume of the small-size box of dog treats?


Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer:

87 3/4

Step-by-step explanation:

If the manufacturer also sells a small-size box that has a volume that is 3/10 of the volume of the regular-size box, then the volume of the small-size box of dog treats would be 87 3/4.

How to determine the volume of the box

To determine the volume of the box, we would first convert the measurements of the regular-size boxes to a proper fraction. We could proceed as follows:

3 1/4 inches = 13/4

7 1/2 inches = 15/2

12 inches

Now we sum the volumes as follows: (13/4) * (15/2) * (12/1)

= 585/2 cubic inches

Now, we would find 3/10 of  585/2 cubic inches

= 87.75 inches or 87 3/4 cubic inches.

Learn more about volume here:

https://brainly.com/question/27710307

#SPJ2

what is 90 divided by 214

Answers

4205 is the answer I think
the person above is technically correct but they forgot to put a decimal point so its 0.4205 but u can round the five up so about .421

You pick two of the cards below at random. What is the probability that the card is an even number greater than 5?
The Cards: 3, 4, 5, 6, 7, 8

Answers

Answer:

2 in six chance or 1:3 simplified

Step-by-step explanation:

Answer:

1/3.

Step-by-step explanation:

The 2 numbers whcih are even and > 5 are 6 and 8.

So the Required Probability

= 2/6 = 1/3.

HURRY il give brainly (question 11)

Answers

Answer: (6,2)

Step-by-step explanation:

If you draw this on a graph and want it to be a rectangle with opposite sides of equal length, this is the required coordinate.

6,2the answer ……..your welcome
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