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dalvyx [7]
2 years ago
10

How do I solve this problem step by step?

Mathematics
1 answer:
Hatshy [7]2 years ago
4 0

Answer:

  392.5 in²

Step-by-step explanation:

The area of a composite figure is found by decomposing it into areas that you have formulas for. This figure is easily decomposed to a trapezoid and a rectangle.

<h3>Trapezoid</h3>

The base lengths of the trapezoid are 20 in and 9 in. Its height is the difference between the height of its top base (21 in) and the height of its bottom base (16 in). That difference is 5 in.

  A = 1/2(b1 +b2)h

  A = 1/2(20 in + 9 in)(5 in) = 72 1/2 in²

__

<h3>Rectangle</h3>

The area of a rectangle is the product of its base and height.

  A = bh

  A = (20 in)(16 in) = 320 in²

__

<h3>Total area</h3>

The area of the whole figure is the sum of the areas of its parts.

  area = trapezoid area + rectangle area

  area = 72 1/2 in² +320 in² = 392 1/2 in²

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Step-by-step explanation:

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3 years ago
Two cars leave towns 300 kilometers apart at the same time and travel toward each other. One car's rate is 16 kilometers per hou
julia-pushkina [17]
The cars travel with constant speed, and the equations of movement of each one are,

x_1=v_1t

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Where v_1=16 Km/h, v_2 is unknown, x_0 is 300 kilomters. As they meet in 2 hours, then t=2 and x_1=x_2, so,

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3 years ago
You pay 11% tax on a purchase. The amount of tax you pay ends up being $16.50. What was your TOTAL payment.
jeka57 [31]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
Still don’t get it idk lol
KonstantinChe [14]

Answer:

XQ = 12

Step-by-step explanation:

In this question it asks for XQ instead of x, but you need to find x first.

1. Find x.

XQ is half of MQ so this statement is true: 3x - 3 = 2(2x - 6)

Solve for x.

3x - 3 = 2(2x - 6)

Distribute 2.

3x - 3 = 4x - 12

Isolate x.

3x = 4x - 9

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Divide -1 out.

x = 9

Now solve for XQ, which the equation is given.

XQ = 2(9) - 6

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3 years ago
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Evaluate the expression if x = 3 and y = 11. 3x + 2y 21 31 42 244
Dmitrij [34]

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Step-by-step explanation: i am good at math lol

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