Your question is missing some words and cannot be answered as asked.
However, it seems that the question is simply testing your knowledge of the term "vertical angles." Vertical angles are equal to each other. So if F and D are vertical angles, and one of them is 53°, then the other one is 53° as well.
But again, would need the full question to be sure.
Answer:
1 inches per cube
As required.
Step-by-step explanation:
Solution:
Given:
Volume = l3
dV / dt = 3 l2dl / dt
dv / dt = 0.5 inches cubed / hour
Surface area = 6 l2
Differentiate with respect to t: s = 6 l2
We get:
ds / dt = 12 l dl / dt
and dv / dt = = 0.5 inches cubed / hour
we know that:
dv / dt = 20 = 3 l2dl / dt
0.5 = 3 l2 (dl / dv)(dv / dt)
0.5 = 3l2 dl / dt
0.5 / 3l2 = dl / dt
Put 0.5 / 3l2 = dl / dt in eq ds / dt = 12 l dl / dt
ds / dt = 12 l (0.5 / 3l2)
= 4(0.5) / l
= 2 / 2 inches pr cube [ l = 2 inches per cube]
= 1 inches per cube
As required.
In order to find scientific notation you have to move the decimal (which is located at the end of the number in the case) where it becomes a number less than 10 but greater than 1.
(190,000.) = (1.9)
How ever many times you moved the decimal (in this case 5) will now become the exponent (whether the exponent is positive or negative will tell you whether to move left or right)
(1.90,000.)
(5)
As an end result 190,000 in scientific notation will then equal 1.9x10^5