Answer:
Step-by-step explanation:
Rotation changes nothing about the geometric relationships within the figure. Angle measures are unchanged; side lengths are unchanged.
The acute angles of an isosceles right triangle are (180° -90°)/2 = 45°. This is true regardless of the orientation of the triangle with respect to any coordinate axes.
The measures of the legs of your triangle are 0 -(-4) = 4 = (1 - (-3)). Rotating the figure any amount in any direction around any center doesn't change that.
We know that
volume of a cylinder=pi*r²*h
r=√[V/(pi*h)]
r=10 m
A <span>second cylinder has
V2=V-----> volume of the second cylinder
h2=25*h----> height of the second cylinder
r2----> radius of the second cylinder
r2=</span>√[V2/(pi*h2)]----> r2=√[V/(pi*25*h)]---> r2=(1/5)*√[V/(pi*h)
r2=(1/5)*10-----> r2=2 m
the answer is
<span>the radius of the second cylinder is 2 m</span>
Answer:
1) 7m
2) 13
3) 4x^2y
4) 6s^3t^4
Step-by-step explanation:
gcf means the the greatest factor that works for both terms
1) 21m^3 and 28m
let's first find the gcf for the coefficient
21 and 28, the gcf is 7. (hopefully thats easy to explain)
the gcf for the variables is the same mindset as the numbers
m^3 and m, both can be factored by m
so the gcf is 7 * m which is 7m
2)
13x and 26
let's first find the gcf for the coefficient
13 and 26, gcf is 13
there's only one variable, x, so there's not gcf for that
so the gcf is just 13
3)
8x^2y and -12x^3y^2
let's first find the gcf for the coefficient
8 and -12, the gcf is 4 (you can also say -4)
for the variables , same mindset
x^2y and x^3y^2
the gcf for x is x^2, and for y it is just y
so 4 * x^2 * y = 4x^2y
by understanding 3) hopefully you can understand 4)
pls comment for any questions
The solution to x + 8.5 = 64.5 is 56.
x + 8.5 = 64.5
- 8.5 - 8.5
---------------------------
x = 56
