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3 years ago

Find the value of C in a triangle where a = 6, b = 8, and c = 12.

Mathematics

1 answer:

ELEN [110]3 years ago

7 0

Answer: 117°

Step-by-step explanation:

Use the Law of Cosines:

c² = a² + b² - 2ab · cos C

12² = 6² + 8² - 2(6)(8)(cos C)

144 = 36 + 64 - 96 cos C

144 = 100 - 96 cos C

44 = -96 cos C

$-\dfrac{44}{96}=cosC\\\\\\cos^{-1}\bigg(-\dfrac{44}{96}\bigg)=C$

117° = C

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4 Student is 20% of ____ students

luda_lava [24]

Answer:

4 Student is 20% of 20 students

Step-by-step explanation:

if 4 = 20% then 1 = 5% to get a hundred percent then you need to multiply by 20

so 20

4 Student is 20% of 20 students

5 0

3 years ago

Read 2 more answers

What is the length of BC in the right triangle below?

Neko [114]

Answer and Step-by-step explanation:

How to solve:

Use the Pythagorean Theorem to find the length of side BC.

Pythagorean Theorem Formula:

$A^2+B^2=C^2$

Side AB will be A, side AC will be B, and side BC will be C.

Plug in values.

$8^2+15^2 = C^2\\\\\\64 + 225 = C^2\\\\289 = C^2\\Square.root.both.sides.\\\\\sqrt{289} = C\\17 = C\\\\\\$

This means the answer is A. 17.

I hope this helps!

#teamtrees #PAW (Plant And Water)

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3 years ago

Which function has real zeros at x= -2 and x=5?

hammer [34]

x = -2, x = 5

=> f(x) = a(x+2)(x-5), a ∈ R

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3 years ago

Evaluate x - y - (-z) if x = -3, y = -7, and z = -9

IceJOKER [234]

It would be -6 x+9 i think.

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2 years ago

In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally dis

aliya0001 [1]

(A)

P(X < 61.25) = P((X - 55.4)/4.1 < (61.25 - 55.4)/4.1)

… ≈ P(Z ≤ 0.1427)

… ≈ 0.5567

(B)

P(X > 46.5) = P((X - 55.4)/4.1 > (46.5 - 55.4)/4.1)

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3 years ago