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Alex_Xolod [135]
3 years ago
5

The two spheres above have the same center one has a radius of 2 cm and the other one has a radius of 3 cm approximately how muc

h space in between the two spheres
Mathematics
1 answer:
Paladinen [302]3 years ago
8 0

Answer:

79.6 cm^3

Step-by-step explanation:

The formula for the volume of a sphere is V = 4/3 πr³.

sphere A radius 2 cm so r[A] = 2 cm

sphere B radius 3 cm so r[B] = 3 cm

distance between the surfaces of the 2 spheres is 1 cm

To find volume of each sphere and the difference in volume:

pi r^2 * r - (1/3) pi r^2 * r = (2/3) pi r^3

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The ages of three siblings are consecutive integers. The sum of their ages is 42. Calculate their ages. *
stealth61 [152]

Answer:

13, 14, 15

Step-by-step explanation:

Let x = age of one of the siblings

Since the age of the siblings are consecutive integers, the age of the next sibling would be x + 1 and the age of the third sibling would be x + 2

x +( x +1) + (x +2) = 42

3x + 3 = 42

collect like terms and solve for x

x = 13

The age of the first sibling is 13

The age of the second sibling is x + 1 = 13 + 1 = 14

The age of the third sibling is x + 2 = 13 + 2 = 15

8 0
3 years ago
The point-slope form of a line that has a slope of
saveliy_v [14]

Answer:

It is B

Step-by-step explanation:

5 0
3 years ago
A function has x-intercept 3 and y-intercept 2. Which of the functions below could be this function?
Sergeeva-Olga [200]

we are given

x-intercept is 3

so,

a=3

y-intercept is 2

b=2

now, we can intercept formula of line

\frac{x}{a} +\frac{y}{b}=1

now, we can plug

a=3 and b=2

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

now, we will get rid of denominators

so, we can multiply both sides by 6

6*\frac{x}{3} +6*\frac{y}{2}=6*1

2x +3y=6

we can also write it as

3y-6=-2x

so, option-D..................Answer

3 0
3 years ago
A teacher buys packs of notebooks to give to his students. The ratio of gold notebooks to red notebooks is represented in the ta
Naddika [18.5K]

Answer:

there would be 40 gold notebooks

Step-by-step explanation:

if the ratio is 5g to 3r i took the 24 red and divided it by 3 which gave me 8. I then multiplied 8 by 5 and got 40. so 40:24 is equal to 5:3

4 0
3 years ago
Give the rate in miles per hour round to the nearest tenth Rachel jogs 20 feet in three seconds
Ostrovityanka [42]

Answer:

4.5 miles per hour is her rate in miles per hour

Step-by-step explanation:

We want to convert 20 ft per second to miles per hour

If she jogs 20 ft in 3 seconds , then in one second , she will jog 20/3 ft

So convert 20/3 ft/second to miles per hour

Mathematically;

1 mile = 5280 feet

So one feet = 1/5280 mile

1 hour = 3600 seconds

1 second = 1/3600 hour

So, to go from miles/hour to ft/second ; we shall multiply by 1/5280 and divide by 1/3600

Hence; we have;

(20/3 * 1/5280)/1/3600

= 20/3 * 1/5280 * 3600/1

= 4.4545 which is 4.5 miles per hour

7 0
3 years ago
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