What is 5,092,553,774,595,987,362,562 divided by 12,345,678,900,987,654,321
Setler [38]
Answer:
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Step-by-step explanation:
Answer:
C) 24√2
Step-by-step explanation:
The distance between the points is the radius of the circle. Use distance formula:
d² = (x₂ − x₁)² + (y₂ − y₁)²
d² = (5 − 2)² + (2 − 5)²
d² = 3² + 3²
d = 3√2
The radius of the circle is 3√2. The diameter of the circle is 6√2, so the side length of the square is 6√2. Therefore, the perimeter is 24√2.
Answer:
2x+27+x+27=180
3x+54=180
3x=180-54
x=126/3
x=42
angle B=x+27
=42+27
=69 degree
Step-by-step explanation:
K=2
- A'=2(2.5)=(4,10)
- B'=2(1,2)=(2,4)
- C'=2(3,1)=(6,2)
Translation of 2 units left means change in x
- A''=(4-2,10)=(2,10)
- B"=(2-2,4)=(0,4)
- C"=(6-2,2)=(4,2)
Translation of 1 units up means change in y
- A'''=(2,10+1)=(2,11)
- B'''=(0,4+1)=(0,5)
- C'''=(4,2+1)=(4,3)
Well first you would just have to look at the equation for the volume of a pyramid. This is:
V = (length * width * height) / 3
and so we can just say all pyramids have a volume of V.
So now we want the base to be 3 times bigger which means we would have to multiple the length and width by 3 and the new volume equation would be
V = (3*length * 3 * width * height) / 3
we can factor the two 3's from the parenthesis and get
V = 9(l * w * h) /3
if we are looking at a ratio of how much the volume increases we can say
aV = b(l * w * h) /3
since:
V = (l * w * h) / 3
then:
aV = bV, divide both sides by V and:
a = b
using this we can see that the volume increases by a factor of 9 for 3 times bigger
now for 6 times
V = (6 * l * 6 * w * h) / 3, pull 6 * 6 out
V = 36(l * w * h) /3
and this one increases by factor of 36
if we see a pattern it always increases by the square of the factor of the growoth of the base
so for 9 times bigger it would be 9^2 = 81
and for 27 times bigger it would be 27^2 = 729