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pochemuha
2 years ago
7

Find the surface area of the composite figure.

Mathematics
1 answer:
Rasek [7]2 years ago
8 0

By using the <em>area</em> formulae for triangles and rectangles and the concept of <em>surface</em> area of the <em>composite</em> figure is equal to 1108 square inches.

<h3>What is the surface area of the composite figure?</h3>

The <em>surface</em> area is the area of all faces of a solid. In this case, we must sum the areas of seven <em>rectangular</em> and two <em>triangular</em> faces to determine the <em>surface</em> area:

A = 2 · (0.5) · (12 in) · (9 in) + 2 · (11 in) · (20 in) + 2 · (5 in) · (20 in) + 2 · (5 in) · (12 in) + (12 in) · (20 in)

A = 1108 in²

By using the <em>area</em> formulae for triangles and rectangles and the concept of <em>surface</em> area of the <em>composite</em> figure is equal to 1108 square inches.

To learn more on surface areas: brainly.com/question/2835293

#SPJ1

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Mr. Sanchez's class: 1.65p

Mr. Kelly's class: 1.36j

where p = fruit pies and j = fruit juice

____________________________________________________________

(a) Creating a system of equations

p + j = 79

1.65p + 1.36j = 118.17

are your system of equations

____________________________________________________________

(a) Solving the system of equations for p and j

Solve for p in the first equation. Subtract j from both sides.

p = 79 - j

____________________________________________________________

Plug p into the second equation.

1.65(79 - j) + 1.36j = 118.17

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____________________________________________________________

Plug j into the first equation.

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____________________________________________________________

(b) To find out how much each class earned

Now plug in p and j into Mr. Sanchez's class and Mr. Kelly's class equations (at the top).

Mr. Sanchez's class: 1.65(37) = 61.05

Mr. Kelly's class: 1.36(42) = 57.12

____________________________________________________________

(c) To see how much more Mr. S's class earned

Subtract 57.12 from 61.05.

61.05 - 57.12 = 3.93

____________________________________________________________

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Mr. Sanchez's class earned $3.93 more than Mr. Kelly's class.

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