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JulijaS [17]
3 years ago
5

Solve for the missing length and the other two angles in the triangle below

Mathematics
1 answer:
Klio2033 [76]3 years ago
5 0

Answer:

AC = 3.72 units

Angles:

A = 132.6°

C = 27.4°

Step-by-step explanation:

AC² = 5² + 8² - 2(5)(8)cos(20)

AC² = 13.82459034

AC = 3.718143399

3.718143399/sin20 = 8/sinA

sinA = 0.7358944647

A = 180 - 47.38285134

A = 132.6171487

3.718143399/sin20 = 5/sinC

sinC = 0.4599340405

C = 27.38285134

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mario62 [17]

Answer:

523.33 cm³

Step-by-step explanation:

Formula of volume of sphere

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4 0
3 years ago
Please help and thank you
Ksivusya [100]

Answers: Angle A is 36 degrees, angle C is 54 degrees

=================================================================

Work Shown:

The angles A and C are complementary, meaning they add to 90 degrees.

(Angle A) + (Angle C) = 90

(2x-4) + (2x+14) = 90

(2x+2x)+(-4+14) = 90

4x+10 = 90

4x+10-10 = 90-10 .... subtract 10 from both sides

4x = 80

4x/4 = 80/4 ..... divide both sides by 4

x = 20

If x = 20, then,

angle A = 2x-4 = 2*20-4 = 40-4 = 36 degrees

angle C = 2x+14 = 2*20+14 = 40+14 = 54 degrees

Note how A+C = 36+54 = 90 which helps confirm our answers.

8 0
3 years ago
I'm stuck on 14-16 please help
sukhopar [10]
14 - 16 is -2.

Hope this helped.
3 0
4 years ago
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