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olasank [31]
3 years ago
15

I don’t understand pls help!!

Mathematics
1 answer:
mezya [45]3 years ago
3 0

Answer:

7.9 m

Step-by-step explanation:

Use the Pythagorean theorem: a²+b²=c²

This formula can be used to solve a side of any right (90°) triangle.

c² is the length of the hypotenuse (the diagonal side of the triangle, opposite to the 90° angle)

So, c = 32m.

Sides a and b are the legs of the triangle, but we only know one side. Plug numbers into the formula:

31² + b² = 32²

961 + b² = 1024 Subtract 961 from both sides to get b² by itself.

b² = 63

√b² = √63  Square root both sides to get b by itself.

b = 7.93725

Answer is 7.9 meters, rounded to tenths place

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X = 13.13 feet

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Let the distance between Avery and Mark be B= 30

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Determine whether each given value of x satisfies the inequality x+1<x/3
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Find the common ratio of the following sequence:<br><br>192, -48, 12, -3, ...
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6 0
2 years ago
Express answer in exact form.
bazaltina [42]
The answer is 5.13 in²

Step 1. Calculate the diameter of the circle (d).
Step 2. Calculate the radius of the circle (r).
Step 3. Calculate the area of the circle (A1).
Step 4. Calculate the area of the square (A2).
Step 5. Calculate the difference between two areas (A1 - A2) and divide it by 4 (because there are total 4 segments) to get <span>the area of one segment formed by a square with sides of 6" inscribed in a circle.
</span>
Step 1:
The diameter (d) of the circle is actually the diagonal (D) of the square inscribed in the circle. The diagonal (D) of the square with side a is:
D = a√2            (ratio of 1:1:√2 means side a : side a : diagonal D = 1 : 1 : √2)
If a = 6 in, then D = 6√2 in.
d = D = 6√2 in

Step 2.
The radius (r) of the circle is half of its diameter (d):
r = d/2 = 6√2 / 2 = 3√2 in

Step 3.
The area of the circle (A1) is:
A = π * r²
A = 3.14 * (3√2)² = 3.14 * 3² * (√2)² = 3.14 * 9 * 2 = 56.52 in²

Step 4.
The area of the square (A2) is:
A2 = a²
A2 = 6² = 36 in²

Step 5:
(A1 - A2)/4 = (56.52 - 36)/4 = 20.52/4 =  5.13 in²
6 0
3 years ago
Read 2 more answers
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