We have been given that an artist cuts the bottom 4 inches from an empty sphere with a radius of 12 inches to make a bowl. We are asked to find the length of the rim of the bowl.
The rim of the bowl will be equal to the perimeter of circle with radius of 12 inches.
, where r represents radius of circle.
Therefore, the rim of the bowl is approximately 75.4 inches.
The value of the given trigonometry function is 2√15/15
<h3>Half angles</h3>
Half angles are trigonometric identities used to express sine, cosine and tangent of half angles.
For instance the value of cos theta is expressed as shown below;
cosФ = cos(Ф/2+Ф/2)
cosФ = cos²Ф/2-sin²Ф/2
cosФ = cos²Ф/2-(1-cos²Ф/2)
cosФ = 1 - 2cos²Ф/2
Given the following parameters
cosФ = -7/15
Substitute
cosФ = 1 - 2cos²Ф/2
-7/15 = 1 - 2cos²Ф/2
-2cos²Ф/2 = -7/15 - 1
-2cos²Ф/2 = -8/15
cos²Ф/2 = 4/15
cosФ/2 = 2/√15
Rationalize
2/√15 * √15/√15
2√15/15
Hence the value of the given trigonometry function is 2√15/15
Learn more on trigonometry function here: brainly.com/question/2254074
#SPJ1
Answer:
3
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Answer:
<em>The first step is to determine the average
</em>
<em>The exercise says it’s a normal distribution: (n=8)</em>
<em>According to the exercise, the mean is equal to 0,5 then the value of t of the distribution can be obtained
</em>
<em />
<em>The variable t has 7 grade to liberty, we calculate the p-value as:
</em>
This value is very high, therefore the hypothesis is not rejected
