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lapo4ka [179]
3 years ago
6

PLEASE HELP!! 20 POINTS

Mathematics
1 answer:
WARRIOR [948]3 years ago
6 0
The answer to the first expression is
-21b + 7bc or (-7b * 3) + (7b * 6)
the answer to the second expression is the second and third option
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An artist cuts the bottom 4 inches from an empty sphere with a radius of 12 inches to make a bowl. How long, to the nearest tent
Zolol [24]

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.

\text{Perimeter of circle}=2\pi r, where r represents radius of circle.

\text{Perimeter of circle}=2\pi (12\text{ inches})

\text{Perimeter of circle}=24\pi \text{ inches}

\text{Perimeter of circle}=75.39822 \text{ inches}

\text{Perimeter of circle}\approx 75.4 \text{ inches}

Therefore, the rim of the bowl is approximately 75.4 inches.

6 0
3 years ago
Pls help with Trigonometric
Sav [38]

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

8 0
1 year ago
Simplify: 0.6×0.2/ 0.04​
Savatey [412]

Answer:

3

Step-by-step explanation:

4 0
2 years ago
How is the product of 3 and 2 shown on a number line?
Bas_tet [7]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
0 A maker of a certain brand of low-fat cereal bars claims that the average saturated fat content is 0.5 gram. In a random sampl
balandron [24]

Answer:

<em>The first step is to determine the average </em>

x= \frac{0,6+0,7+ 0,7+0,3+0,4+ 0,5+ 0,4 +0,2}{8}\\\ x= 0,475

<em>The exercise says it’s a normal distribution: (n=8)</em>

s^{2}= \frac{1}{n-1} ((0,6.x)^2+2(0,7-x)^2+(0.3-x)^2+2(0.4-x)^2+(0.5-x)^2+(0.2-x)^2)\\\ \frac{1}{7}*0,235 = 0,0336 \\\\ s= 0183

<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 />

t= \frac{x-u}{\frac{s}{\sqrt{n} }}\\\ t= \frac{0,475 - 0,5}{0,183}\\\  t= -0,3860

<em>The variable t has 7 grade to liberty, we calculate the p-value as: </em>

2* P(t < - 0,3860)= \\\ 2* 0,3554 = 0,7108

This value is very high, therefore the hypothesis is not rejected

7 0
3 years ago
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