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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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Rachel runs 4 miles in 23 minutes. How many miles does she run per minute?​
KIM [24]

Answer:

To calculate how many total miles Rachel runs per minute, setting up a unit rate, that is a rate with a denominator of 1, would be helpful.

Step-by-step explanation:

Use the current problem to determine a rate.

23 minutes/4 miles

Now, set up a unit rate.

1 minute/<em>x </em>miles = 23 minutes/4 miles

To solve for <em>x, </em>we can use simple division strategies. We divide 23 by 23 to receive 1 minute. Likewise, dividing the current milage by 23 would wield the correct unit rate. To do this, divide 4 by 23.

4/23 = 0.1739130434782609

Finally, simplify your answer to receive 0.17.

Therefore, Rachel runs ~0.17 miles per minute. (Note that this answer is only a rounded answer of her actual milage per minute)

8 0
3 years ago
Can someone help me answer this please
Citrus2011 [14]

Answer:

N = 3/8

Step-by-step explanation:

let the number be N

let's express the word sentence as a mathematical expression:

"a number multiplied by 2/5"

= "N" multiplied by 2/5

= N x (2/5)

= (2N/5) ------- (1)

"a number multiplied by 2/5 is 3/20" can be written as:

(2N/5)    =  3/20  (multiplying both sides by 5)

2N = (3/20) x 5

2N = 3/4      (divide both sides by 2)

N = (3/4) ÷ 2

N = (3/4) x (1/2)

N = 3/8

6 0
3 years ago
Help me i have been trying to solve it. plzz
siniylev [52]
Because completementary angles add up to 180 degrees (angle 3 and angle 4)
and interior angles of a triangle will also add up to 180 degrees

if you compare these two facts, then angle 4 equals the 2 non adjacent interior angles

3 0
4 years ago
Find the cosine of T.
Ronch [10]

Answer:

c o s t = x \displaystyle P: \text{cos}t=x P:cost=x.

Step-by-step explanation:

The cosine of t is equal to the x-coordinate of point P

6 0
3 years ago
SHannon is going on a 12-mile hike. She hiked 4 7/8 miles before lunch and 3 3/4 miles after lunch. how many miles does she have
Ne4ueva [31]
She has 3.878 miles left to hike. (439/500 in fraction form)
4 0
3 years ago
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