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katrin [286]
3 years ago
8

Several shapes are cut out of a piece of cardboard. Two squares of length x, five rectangles of length x and width y and two cir

cles with radius z. The two squares and four of the rectangles are glued together to form a prism, and the two circles and the remaining rectangle are used to form a cylinder with height y. Which represents the combined volume of the two figures?

Mathematics
1 answer:
forsale [732]3 years ago
6 0
The correct question in the attached figure

step 1 
calculate the different volumes
a) Volume of prism square base=x*x*y=x²*y
b) Volume of the cylinder=π*(z²)*y

the combined volume of the two figures=[x²*y]+[π*z²*y]

the answer is [y*x²]+[π*y*z²]

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What is the value of m in the equation 1/2m -3/4n=16 when n=8
Lunna [17]

Answer:

m = 44

Step-by-step explanation:

First plug in 8 for n in the equation.

3/4 x 8 = 6

1/2m - 6 = 16

add 6 to both sides

1/2m = 22

divide both sides by 1/2

m = 44

3 0
3 years ago
when janet runs her average step length is 36 inches. how many steps would she have to take to run 1 mile?​
erica [24]

Answer:

59

Step-by-step explanation:

1 mile divided by 36 inches equals 1760 inches and if there are 30 inches in a step, we would divide 1760 by 30 and then the answer would be 58.6666666667 but if you don't need the decimal, we can take and round this to 59 and then we have our answer.

3 0
4 years ago
Jackson owes his sister Monica $15. Explain the meaning of zero in this situation.
ludmilkaskok [199]

accounting wise, if a value is positive, is an asset, you're above water, +50, you have 50 bucks in your account/pocket.

if a value is negative, is a liability, you're below water, -50, you owe 50 bucks, you're in the hole for 50 clams.

so Jackson owes Monica $15, he's in the hole for 15 bucks, namely his balance with his sister is -15.

if he pays her $1, he owes her 14, so -14 is his balance, let's make a quick table of that

pays her 1................... -14

pays her 2..................-13

pays her 3...................-12

and so on

pays her 13.................-2

pays her 15..................0


0 means, he paid her in full.

8 0
3 years ago
A rectangular field is nine times as long as it is wide. If the perimeter of the field is 1700 feet, what
Leokris [45]

Answer:

I. L = 10.35 feet

II. W = 93.15 feet.

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Perimeter of rectangular field = 1700 feet

Translating the word problem into an algebraic expression, we have;

W = 9L

Mathematically, the formula for the perimeter of a rectangle is;

P = 2(L + W)

A. To write an equation;

X = P = 2(L + W)

B. To find the dimensions of the field;

207 = 2(L + 9L)

207 = 2L + 18L

207 = 20L

L = 207/20

L = 10.35 feet

To find the weight;

W = 9L

W = 9 * 10.35

W = 93.15 feet.

Therefore, the width of the field is

93.15 feet and the length of the field is

10.35 feet.

6 0
3 years ago
What is “- 7(x+8)” ?
dsp73

Answer:

-7x-56

Step-by-step explanation:

8 0
4 years ago
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