Answer:
6×10⁶ cubic feet
30:1
Step-by-step explanation:
Water goes over Niagara Falls at a rate of 180 million cubic feet every 
hours.
Now, 180 million cubic feet ≡ 18×10⁷ cubic feet
and hours =30 minutes.
As the water is falling at a constant rate, hence, the unitary method of calculation can be applied.
Therefore, in 1 minute, the amount of water that goes over the falls will be
18×10⁷/30 =6×10⁶ cubic feet.
So, the amount of water passing over the falls is reduced in the ratio 30:1. (Answer)
Answer:
690
Step-by-step explanation:
Put 30 where m is in the expression and do the arithmetic. Or, simpify the expression first, then do the same.
14·30 +30 +17·30 -9·30 = 420 +30 +510 -270 = 690
Simplifying first, you have ...
14m +m +17m -9m = m(14 +1 +17 -9) = 23m
23·30 = 690
The angles inside a triangle always add up to 180 degrees.
The whole thing is one big triangle made of two smaller ones.
28 + 58 + 77 + x = 180
163 + x = 180
x = 180 - 163
x = 17
D) A theorem is a statement of mathematical truth, while a proof is the series of statements that support the theorem’s claims
To get the slope of -2y+38x=38.
Let us convert to slope intercept form, that is y=mx+b
So, subtracting 38x from both sides, we get
-2y=-38x+38
Now, Divide by -2 on both sides, we get
y=(-38/-2)x+(38/-2)
y=19x-19
Slope, m=19
