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Alex
3 years ago
13

Find the volume of a right circular cone that has a height of 4.2 m and a base with a

Mathematics
1 answer:
tigry1 [53]3 years ago
5 0

Answer:

50.84353551

Step-by-step explanation:

the volume of cone= 1/3 × πr²h

putting the value and calculating,

i get the answer.

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Jake completed a marathon race in 3 hours and 12 minutes. What would be Jake's running time as a decimal?
VikaD [51]

\text{Given that Jake completed a marathon race in 3 hours and 12 minutes.}\\
\\
\text{we need to find this time in decimals. so we will convert 12 minutes into hours}\\
\\
\text{We know that there are 60 minutes in 1 hour. }\\
\\
\text{so in 1 minute there will be}=\frac{1}{60 }\text{ hour}

\text{hence in 12 minutes we have}=\frac{1}{60}\times 12=\frac{1}{5}=0.2 \text{ hours}\\
\\
\text{hence the Jake's running time is}=3\text{hours + 12 minute}\\
\\
=3\text{ hours}+0.2 \text{ hours}\\
\\
=3.2 \text{ hours}

Hence, Jake's running time in decimal is: 3.2 hours

4 0
3 years ago
If r(x) = 2 – x2 and w(x) = x – 2, what is the range of w(r(x))
Paladinen [302]
Range is the outputs possible
w(r(x))=(2-x^2)-2
w(r(x))=2-x^2-2
w(r(x))=-x^2

therefor the range is from 0 to -∞
5 0
3 years ago
Read 2 more answers
if eight times a number is increased by 3 the result is 19 more than six times this digit. find the number
Verdich [7]

Answer:

8

Step-by-step explanation:

Even though we don't know the number yet, let's name this number "n".

8n + 3 = 6n + 19

8n + 3 - 6n = 6n + 19 - 6n

2n + 3 = 19

2n = 16

n = 16/2

n = 8

Our number is 8.

Note: This answer is 100% correct.  

6 0
2 years ago
Read 2 more answers
Which of the following ordered pairs represents the solution to the system of equations below?
expeople1 [14]
<span>-3x + 2y = 2  eq (1)

  7x - 3y = 7    eq (2)

Mutiply eq (1) by 3 and eq (2) by 2:

-9x + 6y = 6

14x - 6y = 14

Add th two new equations:

-9x + 14x = 6 + 14

=> 5x = 20

=> x = 20/5

=> x = 4

Now from eq (1)

-3(4) + 2y = 2

=> 2y = 2 + 12

=> 2y = 14

=> y = 14 / 2

=> y = 7

So the ordered pair is (4,7)

Answer: option B. (4,7)
</span>
5 0
3 years ago
write an enaquality that expresses the reason the lengths 5 feet , 10 feet and 20 feet could not make a triangle. explain how th
NikAS [45]
For any triangle, the 2 shortest sides added together have to be longer than the longest sides.

short side (10) + short side (5) needs to be greater than (>) longest side (20)

10 + 5 > 20

15 > 20

This inequality is incorrect, so the lengths cannot make a triangle.

Hope this helps :)

7 0
3 years ago
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