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sergij07 [2.7K]
2 years ago
11

I need help with these two problems. [9 and 10] FORMULAS GIVEN!!

Mathematics
1 answer:
zaharov [31]2 years ago
4 0
<h2>Question 9:</h2>

1. Use Pythagorean Theorem (a²+b²=c²) to solve for missing side of triangle and rectangle. x²+16²=20², or x²+256=400. So, x²=144, and x=12

2. Use formula: 1/2(h)(b1+b2). 1/2 (12) (30+14).

3. Simplify: 1/2 (12) (44)=1/2(528)=264

Area of whole figure is 264 square mm.

<h2>Question 10:</h2>

Literally same thing but with trigonometry.

1. Use sine to find out length of dotted line: sin(60°)=x/12

2: Simplify: 12*sin(60°)=x. x≈10.4 (rounded to the nearest tenth)

3. Use Pythagorean Theorem to find out last leg of triangle: 10.4²+x²=12²

4: Simplify: 108.16 +x²=144. x²=35.84 ≈ 6

5: Use formula: 1/2(h)(b1+b2). 1/2 (10.4) (30+36)

6: Simplify: 1/2 (10.4) (66) =343.2

7: Area of figure is about 343.2

Remember, this is an approximate answer with rounding, so it might not be what your teacher wants. The best thing to do is do it yourself again.

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Plz help with number 1
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In an isosceles triangle, the base angles are congruent. The third angle is called the vertex angle.

Here, the vertex angle is <A.

Therefore, m<C = m<B.

m<A = 3m<B + 20

m<A + m<B + m<C = 180

3m<B + 20 + m<B + m<B = 180

5m<B + 20 = 180

5m<B = 160

m<B = 32

m<C = m<B = 32

Answer: m<C = 32 deg

4 0
2 years ago
Father's age is 3 times the sum of ages of his two children. After 5 years his age will be twice the sum of ages of two children
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Answer:

45 is the father's age

Step-by-step explanation:

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2 years ago
What does (26/13).(-7)+14-4=
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-4

Step-by-step explanation:

1. Always start with the parenthesis. (26/13) = 2

2. Then multiply. 2*-7 = -14

3. After, you add 14 to your precious answer (-14) then subtract 4.

   -14 + 14 = 0 - 4 = -4

5 0
2 years ago
Warren drives half the distance Kendall drives to work. Kendall drives 26 more miles to work than Joe. Warren drives 15 miles. W
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Answer:

15 times 2 - 26 = x

Step-by-step explanation:

Warren drives half the distance Kendall drives to work. Kendall drives 26 more miles to work than Joe. Warren drives 15 miles. Write an equation that models this situation. Use x to represent the number of miles Joe drives to work.

W X 1/2 = K

K - 26 = J

so 15 times 2 - 26 = x

6 0
2 years ago
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