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mixer [17]
3 years ago
11

Please please help me

Mathematics
1 answer:
max2010maxim [7]3 years ago
5 0

Answer:

(1) 102.55 in

(2)  316.69 in²

Step-by-step explanation:

Applying (1)

a² = b²+c².............. Equation 1

Given: a = 25 in, b = 20 in,

25² = 20²+b²

b² = 25²-20²

b² = 225

b = √225

b = 15 in

b = diameter of the semicircle

The lenght of the semicircle = πd/2 = 3.14×15/2 = 23.55 in

Therefore,

P = 37+25+17+23.55 = 102.55 in

(2) Applying,

A = Area of the tripezium- area of the semi circle

A = [h(a+b)/2]-πh²/8.............. Equation 2

Given; h = 15 in, a = 17 in, b = 37 in

A = (15(17+37)/2)-(3.14×15²/8)

A = 405-88.31

A = 316.69 in²

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The perimeter of the figure is the sum of the lengths of the sides. The side lengths are represented by the polynomials shown, so the perimeter (P) is their sum:

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Rearranging to group like terms:

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Samuel is preventing a boulder from rolling down a hill with a slope of 35°. If the boulder
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First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.

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(A rough sketch of this situation can be seen in the image below)

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3 years ago
In the figure, the measure of angle 9 is 80 degrees and the measure of angle 5 is 68. Find the measure of each angle.
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Answer/Step-by-step explanation:

Given:

m<9 = 80°,

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m<2 + m<1 = 180° (linear pair)

m<2 + 80° = 180° (substitution)

m<2 = 180° - 80°

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m<3 = 80°

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m<4 = 100°

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m<14 = 112°

m<15 = m<13 (vertical angles)

m<15 = 68°

m<16 = m<14 (vertical angles)

m<16 = 112°

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It is C. Yep. Hope it was helpful
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