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katen-ka-za [31]
3 years ago
14

Besides math name a reason why someone would need to find the volume of a cone, and a prism?

Mathematics
1 answer:
storchak [24]3 years ago
3 0

Answer:

The volume of a cone is given by the equation:

V=\frac{1}{3}\pi r^2 h

where

r is the radius of the cone

h is its height

We have several examples of cones in real life: for instance, the cone of an ice-cream, it has a conic shape.

The volume of a prism instead is given by:

V=lwh

where:

l is the length of the base

w is the width of the base

h is the height of the prism

Again, we have several examples of prisms in daily life: for example, boxes have usually the form of a prism, so it can be useful to know their size in order to calculate their volume.

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Max was on vacation twice as long is Jared and half as long as Wesley. The boys were on vacation a total of three weeks. How man
nasty-shy [4]
To begin with, the question is asking for the answer in days, so let's change 3 weeks to days. There are 7 days in 1 week; 3 weeks times 7 days = 21 days.
21 total days of vacation.

Max + Jared + Wesley = 21 days
(Let's use the first letter of their name to represent their vacation time)

M + J + W = 21 [This is the equation we'll be coming back to]

Now, we can use the clues given in the question to have an equation for each variable/boy. 

Max was on vacation twice as long as Jared. We can interpret this as  M= 2J Max was on vacation only half as long as Wesley. We can interpret this as M = (1/2)W.

So far we have these three equations: M + J + W = 21M = 2J M = (1/2)W

To have an equation for each individual boy, we must rearrange the last two equations in the list.

First, M = 2J.
Divide both sides by 2
M/2 = 2J/2
(1/2)M = J

Second, <span>M = (1/2)W
Multiply both sides by 2
2M = W

New equations:
</span><span>M + J + W = 21 [From the old list]
</span>J = (1/2)W
W = 2M

Now we can substitute the last two equations into the first one. 
M + J + W = 21
M + (1/2)W + 2M = 21
[Combine Like Terms]
<span>(7/2)M = 21 
</span>
Then, solve for M (Max's vacation days):
Multiply both sides by 2/7
(\frac{2}{7})* (\frac{7}{2}m)= (\frac{2}{7})*(21)
M = 6

Now we know Max was on vacation for 6 days.

If Max was on vacation twice as long as Jared, that means Jared was on vacation HALF as long as Max.

So...
<span>J = (1/2)M 
J = (1/2) * 6
J = 3
Jared was on vacation for 3 days 
</span>
Wesley was on vacation twice as long as Max so...  W = 2M 
W= 2*6
W = 12
Wesley was on vacation for 12 days. 

Let's double check our answer:
M + J + W = 21 days<span>6 + 3 + 12 = 21   
The numbers work out so the math is correct. Hope this helps and makes sense!</span>
6 0
3 years ago
Yasmeen paint 3/4of the window shutters yellow if there are 16 shutters in all how many shutters does she paint yellow
erik [133]

9514 1404 393

Answer:

  12

Step-by-step explanation:

3/4 of 16 is ...

  3/4 × 16 = (3×16)/4 = 48/4 = 12

Yasmeen paints 12 shutters yellow.

3 0
3 years ago
To paint a house, two painters are hired. The first painter can paint the entire house in ten hours. The second painter will nee
guajiro [1.7K]
Simple,

take both the hours, and the beginning time they start at,

8:00 AM

For the first painter:

8:00 AM+10 hours...

Beginning at 8..

9,10,11,12,1,2,3,4,5,6

Thus, the FIRST painter will end at 6 P.M.

Now, the second painter:

8:00 AM+6 hours

Beginning at 8....

9,10,11,12,1,2

Thus, the second painter will end at 2 P.M.
4 0
3 years ago
Read 2 more answers
In one week, 103 students were absent,17 fewer students were absent than the week before. howe many students were absent in thos
Nitella [24]
A 103 minus 17 is 86 so 117 plus 86 is 203 so a total of 203 were absent in two weeks
7 0
3 years ago
Hey everyone! I’m back! Hope you enjoyed your weekend!
aalyn [17]

Answer:

8 / 9 x 4 / 3

Step-by-step explanation:

8 / 9 divided by 3 / 4

= ( 8 / 9 ) / ( 3 / 4 )

= 8 / 9 x 4 / 3

5 0
3 years ago
Read 2 more answers
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