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sp2606 [1]
3 years ago
8

Does anyone know how to do this?

Mathematics
1 answer:
eduard3 years ago
6 0

Answer:

on 60!! Hope this help's

Step-by-step explanation:

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A pump can fill a swimming pool in 8 hours. The pool also has a drain that can empty the pool in 10 hours. If someone turns on t
cluponka [151]

Answer:

40 hours will it take for the pool to fill.

Step-by-step explanation:

A pump can fill a swimming pool in 8 hours.

Work done by pump to fill in 1 hour is  \frac{1}{8}

The pool also has a drain that can empty the pool in 10 hours.

Work done by pump to drain in 1 hour is  \frac{1}{10}

If someone turns on the pump to fill the pool, but forgets to shut the drain.

Work done by both pipe in 1 hour is

W=\frac{1}{8}-\frac{1}{10}

W=\frac{10-8}{80}

W=\frac{2}{80}

W=\frac{1}{40}

Both pipe filled \frac{1}{40} part of pool in hours = 1

Both pipe filled complete pool in hours = \frac{1}{\frac{1}{40}}=40

Therefore, 40 hours will it take for the pool to fill.

7 0
3 years ago
•• quilt squares are cut on the diagonal to form triangular quilt pieces the hypotenuse of the resulting triangle is 10 inches l
qwelly [4]
<span>1) The problem says that the quilt squares are cut on the diagonal to form triangular quilt pieces. Then, the triangle pieces have angles of 45°, and the legs have the same lenght. So, you can solve the exercise by applying </span><span>the Pythagorean Theorem:
</span>
 h²:s²+s²
 h²=2s²
 h²/2=s²
 s=√(h²/2)

 "h" is the hypotenuse (h=10 inches) and "s" is the length of the sides.

 When you substitute the value of the hypotenuse into the formula s=√(h²/2), you obtain the sides length:

 s=√(h²/2)
 s=√(10²/2)
 s=5√2

 What is the side length of each piece? 

 The answer is: 5√2


 2)Tan(α)=Opposite/Adjacent

 α=30°
 Opposite=17
 Adjacent=x

 When you substitute these values into Tan(α)=Opposite/Adjacent, you obtain:

 Tan(α)=Opposite/Adjacent
 Tan(30°)=17/x
 x=17/Tan(30°)
 x=17√3

 Sin(α)=Opposite/Hypotenuse

 α=30°
 Opposite=17
 Hypotenuse=y

 Then, you have:

 Sin(30°)=17/y
 ySin(30°)=17
 y=17/Sin(30°)
 y=34
5 0
3 years ago
On average 113,204 aluminum cans are recycled in a minute. Approximately how many cans will be recycled in 16 days? (Express you
Vsevolod [243]

Answer:

2,608,220,160 cans will be recycled in 16 days.

Step-by-step explanation:

Idk how to do it in scientific notation Lol

8 0
3 years ago
Marissa has a photograph that measures 2 in. by 4 in. She has mounted the picture on a mat so that there is a border that measur
DanielleElmas [232]

Step-by-step explanation:

The initial image of the photo is 2 in by 4 in.  The mat is 4 in by 6 in.

The new image is dilated by a scale of 2.  So we double the dimensions.  The new photo is 4 in by 8 in.  The new mat is 8 in by 12 in.

3 0
3 years ago
Find the value of 10! / (10-2) !
Gnesinka [82]

Answer:

90

Step-by-step explanation:

10! / (10 - 2)!

=10!/8!

=10 * 9 * 8! /8!

=90 * 8!/8!

90

Hope this helps. Please mark as brainliest if possible. Have a nice day

3 0
3 years ago
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