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inysia [295]
3 years ago
14

A triangle has sides of length 7 cm, 12 cm, and 15 cm. What is the measure of the angle opposite the side that is 7 cm long? Rou

nd to the nearest degree. 27° 42° 63° 77°
Mathematics
2 answers:
Sati [7]3 years ago
6 0

Answer:

Hello! The correct answer is 27 degrees.

Step-by-step explanation:

I am just confirming!

prisoha [69]3 years ago
5 0

Answer:Given : A triangle has sides of length 7 cm, 12 cm, and 15 cm .

To find :Angle opposite the side that is 7 cm long? Round to the nearest degree.

Solution : We have a triangle of sides a=7 cm, b= 12 cm, c=15 cm.

By using cosine rule : a² = b²+c²- 2 bc cos(A).

Where angle A is opposite to side a=7 cm.

Plugging the values in formula ,

(7)² = (12)²+ (15)²- 2(12)(15) cos(A).

49 = 144 + 225 - 360 cos(A).

49 = 369 - 360 cos(A) .

-320 = - 360 cos(A) .

On dividing by - 360 and switching side

A = cos^{-1}(0.89) = 27 \ degrees .

Therefore, angle opposite the side that is 7 cm is 27 degrees.

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Sladkaya [172]

Answer:

a) Arithmetic

b) 22.5

c) 4.5

d) a_n = 4.5 + 4.5(n - 1)

e) a_15 = 67.5

Step-by-step explanation:

a) Subtract one term by the term right before it, and the difference will be the common difference.

9 - 4.5 = 4.5

13.5 - 9 = 4.5

18 - 13.5 = 4.5

Therefore, the common difference is 4.5.

b) Since the common difference is 4.5, add 4.5 to the 18 (which was the last value given). The result is 22.5.

c) We have already figured out that the common difference is 4.5.

d) The explicit formula would be a_n = a1 + d(n - 1). The first term is 4.5 and d is also 4.5, so the explicit formula is a_n = 4.5 + 4.5(n-1).

e) Plug 15 into our explicit formula for n. a_15 = 4.5 + 4.5(14). The result is 67.5.

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