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bezimeni [28]
3 years ago
6

A sphere has a diameter of 12 meters. What is its exact surface area and its exact volume?

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
6 0

Answer:

The exact value of its surface area = 144π m²

The exact value of its volume = 288π m³

Step-by-step explanation:

∵ The diameter of the sphere is 12m

∴ The radius of the sphere = 12 ÷ 2 = 6m

∵ The surface area of the sphere = 4πr²

∴ The surface area = 4 × π × 6² = 144π m²

∵ The volume of the sphere = 4/3 πr³

∴ The volume = \frac{4}{3}\pi (6)^{3} = 288π m³

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Which line is perpendicular to the line whose equation is 5y + 6 = -3x?
Lynna [10]

Answer: B

Step by Step

5y + 6 = -3X

5y = -3X - 6

Y = -3/5X -6/5

Perpedicular is the flip of your slope so -3/5 becomes 5/3X

6 0
3 years ago
Write an equation of a line that passes through (-1,6) and has a slope of 4.
jeka94

Answer:

y-6=4(x+1) or y=4x+10

Step-by-step explanation:

Point: (-1,6)

m=4

Slope-point form is y-y1=m(x-x1)

y1=6

x1=-1

Now, plug it in!

y-6=4(x-(-1)) which is y-6=4(x+1)

Of course, if you want you could always simplify it down to y=4x+10 if you wanted to

Hope this helps!

7 0
2 years ago
17 - 2n = 9 what’s the answer ?
BlackZzzverrR [31]

Step 1: Simplify both sides of the equation.

17−2n=9

17+−2n=9

−2n+17=9

Step 2: Subtract 17 from both sides.

−2n+17−17=9−17

−2n=−8

Step 3: Divide both sides by -2.

−2n−2=−8−2

n=4

8 0
3 years ago
The value of x in the equation 4^(2x+5)=8^(3x)
Roman55 [17]
4⁽²ˣ ⁺ ⁵⁾ = 8³ˣ

But 4 = 2²  and 8 = 2³

4⁽²ˣ ⁺ ⁵⁾ = 8³ˣ

2²⁽²ˣ ⁺ ⁵⁾ = (2³)³ˣ

Multiply out the powers, also since the
 
 2⁴ˣ ⁺ ¹⁰ = 2⁹ˣ

Since the bases are the same, hence the powers are also the same.

4x + 10 = 9x

4x - 9x = -10

-5x = -10

x = -10/-5

x = 2

Hope this explains it.
3 0
3 years ago
Tamyra's soccer team scored a total of 40 goals this year. They scored 15 more goals this year than they did last year. Write an
Darina [25.2K]
40-15=g so they scored 25 this year and 25+15=40
4 0
2 years ago
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