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jonny [76]
2 years ago
6

A mountain is in the shape of a cone whose height is about 4.2 kilometers and whose base radius is about 6 kilometers. Approxima

te the volume of the mountain in
cubic kilometers.
Mathematics
1 answer:
Airida [17]2 years ago
6 0

Answer: The volume of the mountain is 158.3 cubic kilometers.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cone= 1/3 π x radius² x height

Replacing with the values given:

V = 1/3 π (6)² 4.2

Solving for V (volume)

V = 1/3 π (36) 4.2 = 158.3 km³

The volume of the mountain is 158.3 cubic kilometers.

Feel free to ask for more if needed or if you did not understand something.

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Gracie has 5 quarters 4 nickels and 1 penny in her pocket. She selects a coin at random. What is the probability of selecting a
irina1246 [14]

Answer:

2/5

Step-by-step explanation:

5+4+1 = 10. If you have 4 nickels out of 10 coins, it means there is a 4/10 chance of selecting one, but to simplify, 2 is the greatest common factor, so you would divide each number.

4/2 = 2.

10/2 = 5.

The answer is 2/5.

3 0
3 years ago
April sold 75 tickets to the school Christmas play and collected $495. If adult tickets cost $8 and children tickets were $5 how
Ostrovityanka [42]

40 adult tickets were sold and 35 children tickets were sold

<em><u>Solution:</u></em>

Let "a" be the number of adult tickets sold

Let "c" be the number of children tickets sold

Cost of 1 adult ticket = $ 8

Cost of 1 children ticket = $ 5

<em><u>Given that April sold 75 tickets to the school Christmas play and collected $495</u></em>

Number of tickets sold = 75

number of adult tickets sold + number of children tickets sold = 75

a + c = 75 ----- eqn 1

<em><u>Given that April collected $495</u></em>

Thus we can frame a equation as:

number of adult tickets sold x Cost of 1 adult ticket + number of children tickets sold x Cost of 1 children ticket = $ 495

a \times 8 + c \times 5 = 495

8a + 5c = 495 ----- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "c"</u></em>

From eqn 1,

a = 75 - c ---- eqn 3

Substitute eqn 3 in eqn 2

8(75 - c) + 5c = 495

600 - 8c + 5c = 495

-3c = 495 - 600

-3c = - 105

<h3>c = 35</h3>

Substitute c = 35 in eqn 3

a = 75 - 35

<h3>a = 40</h3>

Thus 40 adult tickets were sold and 35 children tickets were sold

8 0
3 years ago
Billy is walking from the front door of his house to his bus stop, which is 960 feet away from his front door. As Billy walks ou
sasho [114]

Answer:

b) 690 - 7.5*t

c) 0 < t < 92s time (t) is independent quantity

d) 0 < s < 690ft distance from bus stop (s) is dependent quantity

e) f(0) = 690 ft away from bus stop , f(60.25) = 238.125 ft away from bus stop

Step-by-step explanation:

Part a - see diagram

part b

initial distance from bus stop s0 = 690 ft

distance covered = 7.5*t

s = s0 - distance covered

s = 690 - 7.5*t = f(t)

part c

s = 0 or s = 690

0 = 690 -7.5*t

t = 92 s

Hence domain : 0 < t < 92s time (t) is independent quantity

part d

s = 0 or s = 690

Hence range : 0 < s < 690ft distance from bus stop (s) is dependent quantity because it depends on time (t)

part e

f(0) is s @t = 0

f(0) = 690 ft away from bus stop

f(60.25) is s @t = 60.25

f(60.25) = 690 - 7.5*60.25 = 238.125 ft away from bus stop.

4 0
3 years ago
Find the approximate radius of a sphere with a surface area of 400 square inches.
Simora [160]
The equation for surface area of a sphere is SA=4*pi*r^2
We can plug in what we know to solve for r
400=4*pi*r^2
100=pi*r^2 (divide out the 4)
100/pi=r^2 (divide out the pi)
√(100/pi)=r (square root of both sides)
r=5.6 rounded to the nearest tenth
7 0
3 years ago
A is directly proportional to B and when A = 4 , B = 8 8. Find A when B = 44 .​ please can I have the working out
musickatia [10]

Answer:

A = 2

Step-by-step explanation:

If A = 4 when B = 88, we can divide both A and B by 2 to find their values.

88/2 = 44

4/2= 2

We can also check this by dividing 88 by 4 to figure out that A = 1 when B = 22

We can then multiply both the values of A and B to get a proportional relationship of A = 2, B = 44

(sorry if this is confusing but I hope it helped)

5 0
3 years ago
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