Step-by-step explanation:
To find the radius of the sphere we must convert the inches to centimeters
Using the conversation
1 inch = 2.54 cm
If 1 inch = 2.54 cm
4.17 inch = 2.54 × 4.17 = 10.59 cm
<h2>a).</h2>
We can find the radius using the formula

From the question
diameter = 10.59 cm
So we have

<h3>radius = 5.30 cm</h3>
<h2>b).</h2>
Surface area of a sphere= 4πr²
where
r is the radius
Surface area = 4(5.30)²π
= 112.36π
= 352.989
We have the answer as
<h3>Surface area = 353 cm²</h3>
<h2>c).</h2>
Volume of a sphere is given by

r = 5.30
The volume of the sphere is

= 623.61451
We have the answer as
<h2>Volume = 623.6 cm³</h2>
Hope this helps you
Answer:
x = -2
y=-3
(-2,-3)
Step-by-step explanation:
Both equations are equal to y
We can set them equal to each other
y = 3x + 3
y = x − 1
3x+3 = x-1
Subtract x from each side
3x+3 -x = x-1-x
2x+3 = -1
Subtract 3 from each side
2x+3-3 = -1-3
2x = -4
Divide each side by 2
2x/2 = -4/2
x = -2
Now we need to find y
y = x-1
y = -2-1
y = -3
y = x-1
Answer:
B I think
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
The table is given below

We can see that the table represents a linear function since by checking its slope.
Using:
- Points (-2,15) and (1,6)
- Points (1,6) and (2,3)

Therefore, the values represent a linear function.
A linear equation is of the form y=mx+b
Therefore:
y=-3x+b
Using the points (7,-12)

Therefore, the y-intercept of the function, represented by the table of values is 9.