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nikdorinn [45]
3 years ago
15

The two spheres above have the same center. One has a radius of 4 cm, and the other has a radius of 5 cm. Approximately how much

space is in between the two spheres?
Mathematics
1 answer:
frozen [14]3 years ago
8 0
Volume a sphere: [4/3]π(r^3)

Space between the spheres = Volume of the larger sphere - Volume of the smaller sphere

= [4/3]π (R^3) - [4/3π](r^3) = [4/3]π(R^3 - r^3) = [4/3]π {(5cm)^3 - (4cm)^3} =

= 255.5 cm^3

Answer: 255.5 cm^3
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Please help question #14!!!
Yakvenalex [24]
\text{The domain:\\a+3\neq0\ \wedge\ a-2\neq0\\a\neq-3\ \wedge\ a\neq2

\dfrac{5}{a+3}=\dfrac{3}{a-2}\ \ \ \ |\text{cross multiply}\\\\5(a-2)=3(a+3)\\\\5a-10=3a+9\ \ \ |+10\\\\5a=3a+19\ \ \ \ |-3a\\\\2a=19\ \ \ \ |:2\\\\a=9\dfrac{1}{2}\\\\Answer:\ B.\ a=9\dfrac{1}{2}
7 0
3 years ago
3x + 2 3 y - 15 < 0 The point (x, 9) is a solution for the inequality shown. What is a possible value for x?
love history [14]

Answer:

x is any number less than -64; i.e. -66

Step-by-step explanation:

Inequality

3x + 23y - 15 < 0

where point (x,9) satisfies this

Substitute 9 for y

3x + 23(9) - 15 < 0

3x + 207 - 15 < 0

3x + 192 < 0       Take away 192 from both sides

3x < -192             Divide both sides by 3 to isolate x

x < -64


Check:

3(-64) + 23(9) -15 < 0

-192 + 207 - 15 < 0

-192 + 192 < 0

Therefore x must be less that -64 to satisfy the point (x, 9) in this inequality.

4 0
3 years ago
Read 2 more answers
Question is in the image
pshichka [43]

Answer:

(x +3)^2 + (y -3)^2 = 3^2

Step-by-step explanation:

Your first task is to find the center.

The longest possible line of the circle goes from (-3,0) to (-3,6)

So the center is at the midpoint of these two points.

The midpoint is at (-3 - 3)/2 , (6+ 0)/2 or (-3,3)

That gives you the center of the circle.

So far what you have is

(x +3)^2 + (y -3)^2 = r^2

Now the distance of the center to the bottom point is (-3,3) to (-3,0)

r^2 = (x2 - x1)^2 + (y2 - y1)^2

x2 = - 3

x1 = - 3

y2 = 3

y1 = 0

r^2 = (-3 - -3)^2 + (3 - 0)^2

r^2 = 3^2

The entire answer is

(x +3)^2 + (y -3)^2 = 3^2

8 0
3 years ago
What unit system of measurement does F represent
earnstyle [38]

Answer:

Fahrenheit

Unit system Imperial/US customary

Unit of Temperature

Symbol °F

Named after Daniel Gabriel Fahrenheit

Step-by-step explanation:

hope it helps

4 0
2 years ago
How to rewrite 2+2+2+2+2 into a multiplication problem?
inna [77]

Answer:

2 x 5

Step-by-step explanation:

Think of it as "the value 2 is being added together 5 times" being added together so it could be written as 2 times 5.

5 0
3 years ago
Read 2 more answers
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