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2 years ago

Find the area of the composite figure

Mathematics

1 answer:

GuDViN [60]2 years ago

3 0

To find the area, divide the figure in 2. (rectangle and triangle.) For the area of the rectangle, you would do 6*12=72. For the triangle you would do 12*10/2=60. So then you add 72 and 60 to get an answer of 132ft squared.

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2 points

saul85 [17]

Given:

Width of rectangular prism = 20 ft

height of rectangular prism = 12 ft

Length of rectangular prism = 45 ft

Cylindrical diameter = 20 ft

To find:

Volume of the tent

Solution:

Volume of the rectangular prism = length × width × height

= 45 × 20 × 12

Volume of the rectangular prism = 10800 ft³

Radius of cylinder = 20 ÷ 2 = 10 ft

Height of cylinder = length of rectangular prism

Volume of cylinder = $\pi r^{2} h$

Volume of half cylinder = $\frac{1}{2} \pi r^2h$

$$=\frac{1}{2} \times 3.142\times 10^2 \times45$

Volume of half cylinder = 7069.5 ft³

Volume of tent = volume of rectangular prism + volume of half cylinder

= 10800 ft³ + 7069.5 ft³

= 17869.5 ft³

= 17869 ft³ (nearest cubic foot)

The volume of the tent is 17869 cubic feet.

6 0

2 years ago

GEOMETRY PLEASE HELP

marysya [2.9K]

Answer:

see explanation

Step-by-step explanation:

(5)

Since ∠EBA = 90° then ∠ABD = 90° ( straight angle ) and

∠ABC + ∠CBD = ∠ABD, that is

2x + 3x - 10 = 90, simplifying

5x - 10 = 90 ( add 10 to both sides )

5x = 100 ( divide both sides by 5 )

x = 20, thus

∠ABC = 2x = 2 × 20 = 40°

∠CBD = 3x - 10 = (3 × 20) - 10 = 60 - 10 = 50°

(6)

4x - 18 = 3x + 7 ( vertical angles are congruent )

Subtract 3x from both sides

x - 18 = 7 ( add 18 to both sides )

x = 25

7y = 5y + 28 ( vertical angles are congruent )

Subtract 5y from both sides

2y = 28 ( divide both sides by 2 )

y = 14

7 0

2 years ago

How to do it and and explanation

TEA [102]

Answer:

Step-by-step explanation:

5 0

3 years ago

A group of friends wants to go to the amusement park. They have no more than $ 100 to spend on parking and admission. Parking is

zzz [600]

Answer:

Step-by-step explanation:

Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:

8 + 23(x) ≤ 100

8 + 23x ≤ 100

23x ≤ 100 - 8

23x ≤ 92

x ≤ 92/23

x ≤ 4

The number of people that can go to the amusement park will be at most 4

6 0

2 years ago

What is the most accurate name for the polygon shown in the figure

frutty [35]

Irregular hexagon/polygon

8 0

2 years ago