Suppose a triangle has two sides of length 32 and 35, and that the angle between these two sides is 120°. what is the length of the third side of the triangle? a. 58.04b. 47.43c. 33.60d. 53

A. 58.04°

Step-by-step explanation:

Let the sides of the triangle be A , B  and C.

A = 32

B = 35

C = what we don't know.

The opposite angle to C is 120° and its just denoted as ∡C

The formula to find C² = A² + B² - 2ABcos∡C

C² = 32² + 35² - 2(32)(35)cos120°

C² = 1024 + 1225 - 2240cos120°

C² = 3369

C = ≅ 58.04°

idk

step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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