Answer:
1) Volume = ⅓×pi×r²×h
= ⅓×3.14×7²×14
= 718.01 in³
2) ⅓×3.14×5²×10
= 261.67 cm³
3) r = 12÷2 = 6
Volume = (4/3)×3.14×6³
= 904.32 mi³
4) 3.142×4²×5
= 251.2 ft³
5) radius = 2
(4/3)×3.14×2³ = 33.49 ft³
6) radius = 2
3.142×2²×3 = 37.68 m³
It’s a little surprising that this question didn’t come up earlier. Unfortunately, there’s no intuitive way to understand why “the energy of the rest mass of an object is equal to the rest mass times the speed of light squared” (E=MC2). A complete derivation/proof includes a fair chunk of math (in the second half of this post), a decent understanding of relativity, and (most important) experimental verification.
Step-by-step explanation:
First, find complete data.
That would be 2, 12 and 5, 30
Divide the output by the input to get the relationship/constant.
12/2 = 6 30/5 = 6
So...
1 x 6 = 6
and
48 / 6 = 8
Answer:
B(2,4)
Step-by-step explanation:
A(-1,-9)
M(0.5,-2.5)
with M we can find x₂ and y₂
x = 0.5
x = x₁+x₂/2
0.5 = (-1 + x₂)/2
(x₂ -1)/2 = 0.5
x₂-1=0.5×2
x₂-1=1
x₂=2
for y₂
y= -2.5
y=(y₁+y₂)/2
y=(-9+y₂)/2
-2.5=(-9+y₂)/2
-9+y₂=-2.5×2
-9+y₂=-5
y₂=-5+9
y₂=4
.: coordinates are B(2,4).
Answer:
The measure of angle x is 25 degrees.
Step-by-step explanation:
Since triangle ABC is an isosceles triangle, the measure of angle BAC is equal to the measure of angle ACB. Angle ABC = 80 degrees, leaving 100 degrees to be divided equally for the measures of the other two angles. Now that you know that angle ACB = 50 degrees, you can calculate the value of angle ACD and determine that angle ACD = 130 degrees. Triangle ACD is also an isosceles triangle, and the two equal legs are AC and CD. Since angle ACD = 130 degrees, the other two angles have a total of 50 degrees. Splitting the 50 degrees equally between the two angles gives you 25 degrees as the value of angle CAD, which is labeled "x."
