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Evgesh-ka [11]
3 years ago
8

Last night 30cm of snow fell in 6 hours. If it continues snowing at the

Mathematics
1 answer:
mafiozo [28]3 years ago
5 0

Answer: 9 hrs for 45cm of snow to fall

Step-by-step

If 30cm = 6 hrs

Then divide 30/6 to get the unit rate of the amount of snow per hr

Which is 5/1

So 5cm per hr

Then add 30+5+5+5 to get 45

And since we know 5cm equal 1 hr

Add the original amount of hours which is 6 plus 3 ones

Which is 6+1+1+1

In total, it will take 9 hrs for 45cm of snow to fall.

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IgorLugansk [536]
Since the opposite operation of addition is subtraction you subtract. So you add 14 both sides and now z is by itself. finally just add 2 and 14 which is 16

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The difference of twice a number and five is three. Find the number.
ss7ja [257]

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twice a number is 2x

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Step-by-step explanation:

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(20 pts!) if the base of the roof has length 40 feet and x=30, which of the following gives the height of the roof?
musickatia [10]

Answer:

23.094 ft approximately

(If you want your answer in a different format, let me know please.)

Step-by-step explanation:

I would have solve this using tangent since the side opposite to x is asked for and the adjacent side to side is given as having a measurement of 40 ft.

But I think they want you to use the formula:

l=\frac{b}{\cos(x)}.

l=\frac{40}{\cos(30)}

Input into calculator:

l=46.188 (approximation)

l represents the length of the roof.

So we have l=46.188 and b=40.

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l is the hypotenuse.

h^2+40^2=46.188^2

h^2+1600=2133.331

Subtract 1600 on both sides:

h^2=533.331

Take square root of both sides:

h=23.094

The answer is 23.094 feet for the height that roof reaches on the building.

I want to show you another way:

\tan(x)=\frac{\text{opposite}}{\text{adjacent}}

\tan(30)=\frac{h}{40}

Multiply both sides by 40:

40\tan(30)=h

Input into calculator:

23.094=h

I didn't do it this way because your problem suggested you use their formula to find the height.

8 0
3 years ago
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Answer: Yes because it will stay proportional the whole time. 1:7, 2:14, 3:21...

Hope this helps!

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3 years ago
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