Alina, Robert, and Makayla are on the student council at their high school.
2 answers:
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Answer:
Step-by-step explanation:
Given that,
The side of an equilateral prism = 4 cm
The altitude of the prism = 5 cm
We need to find the volume of the prism. The formula for the volume of a prism is as follows :
Where
A is the area of equilateral triangle,
So,
So, the volume of the prism is equal to .
Answer:
Step-by-step explanation:
From the table;
When x=2,
When x=3,
When x=4,
We can infer from the pattern that;
The values of sin (x/2) = 4/√17, cos (x/2) = 1/√17 and tan (x/2) = 4.
<h3>What is Trigonometry?</h3>Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
Here, cos x = -15/17 (given)
we know, cos x = 2cos²x/2 - 1
cos²(x/2) = (cos x + 1)/2
cos²(x/2) = (-15/17 + 1)/2
cos²(x/2) = 1/17
cos (x/2) = 1/√17
then, sin (x/2) = √(1- cos²(x/2))
sin (x/2) = √(1 - 1/17)
sin (x/2) = √16/17
sin (x/2) = 4/√17
and tan (x/2) = sin (x/2) / cos (x/2)
tan (x/2) =
tan (x/2) = 4
Thus, the values of sin (x/2) = 4/√17, cos (x/2) = 1/√17 and tan (x/2) = 4.
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