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 
The pool also has a drain that can empty the pool in 10 hours.
Work done by pump to drain in 1 hour is 
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
Both pipe filled 
part of pool in hours = 1
Both pipe filled complete pool in hours = 
Therefore, 40 hours will it take for the pool to fill.
<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
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
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.
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
