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Grace [21]
3 years ago
14

Write an equation in slope-intercept form of the line that passes through the given points

Mathematics
1 answer:
Elis [28]3 years ago
3 0

y= -\frac{3x}{2} +1

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3.A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round y
Marizza181 [45]
The answer is 2,713 in³

The volume (V) of the prop is the sum of the volume of cone (V1) and half of the volume of the sphere (V2): V = V1 + 1/2 * V2

Volume of the cone is:
V1 = π r² h / 3
According to the image,
h = 14 in
r = 9 in
and
π = 3.14
V1 = 3.14 * 9² * 14 / 3 =  1,186.92 in³

The volume of the sphere is:
V2 = π r³ * 4/3
According to the image,
r = 9 in
and
π = 3.14
V2 = 3.14 * 9³ * 4/3 = 3,052.08 in³

The volume of the prop is:
V = V1 + 1/2 * V2
V = 1,186.92 in³ + 1/2 * 3,052.08 in³
V = 1,186.92 in³  + 1,526.04 in³ 
V = 2,712.96 in³ ≈ 2,713 in³
5 0
3 years ago
A circle is placed in a square with a side length of 18 mm, as shown below. Find the area of the shaded region.
finlep [7]
Answer: the shaded region = 69.66mm^2

Explanation:
Assume shaded region is X
Then :
X + Area of circle = area of square
X = area of square - area of circle

Find area of square:
Side length = 18mm
Area = 18 x 18 = 324

Find area of circle:
Side length of a square = the diameter of the circle = 18mm
And r(radius) = d/2 = 18/2 = 9
Area = pi x 9^2 = 254.34

Now find X
X = 324 - 254.34 = 69.66
3 0
3 years ago
The mean of three numbers is 8 two of the numbers are 6 and 11 work out the third number
Andreas93 [3]

Answer:

7

Step-by-step explanation:

To find the number, first multiply 8 by 3, since that is how you find the mean.

8 x 3 = 24 (total)

x + 6 + 11 = 24

x = 24 - 6 - 11

x = 7

Inverse:

7 + 6 + 11 = 24

Mean = 24/3 = 8

Hope this helps!

4 0
3 years ago
What is 36 times 70<br><img src="https://tex.z-dn.net/?f=36%20%5Ctimes%2070" id="TexFormula1" title="36 \times 70" alt="36 \time
siniylev [52]
2,520.

I hope this helped!
5 0
3 years ago
Read 2 more answers
An electrician earns $110 after his first hour of working for a client. His total pay based on the number of hours worked can be
Sveta_85 [38]
Add the rest of the question
5 0
3 years ago
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