Answer:
1436.76 in.^3
Step-by-step explanation:
This question means to find the volume of a sphere with a diameter of 14 inches. The formula for the volume of a sphere is 4/3πr^3, so we need to find the radius, which is half the diameter. Half of the diameter is 7 inches, so now we can plug in our values to find the volume is about 1436.76 cubic inches.
Answer:
Amelia drove 90 miles in 3 hours.
Step-by-step explanation:
she drove 10 miles in 20 minutes
we multiply this by 3, and get
30 miles in an hour ( 60 minutes)
then we multiply this by 3 and get
90 miles in 4 hours (180 minutes) :)
The perimeter of a triangle is when u add all of the sides together
(8x - 7w) + (2x + 6y) + (3y + 5w) =
10x + 9y - 2w is ur perimeter
8w + 12x - 9y
8w + 12x - 9y
8w + 12x + 5y
8w + 12x - 9y
the 1st, 2nd, and 4th answer choices are the same....so 3 of them are equal
well, it's isosceles so use base angles theorem
the top angle is also x
90 + 2x = 180
subtract 90 from both sides
2x = 90
divide both sides by 2
x = 45 degrees
Answer:
A
Step-by-step explanation:
Hihi. So, this is a nice application of interest rates as well as properties of exponentials/logarithms. As you know, the basic equation for interest rates is A= Pe^(rt) where A is your final amount, P is your initial, r is your rate of interest, and t is the time the money was accumulating interest. After cleaning up, you get in a situation due to you having e still lying around. Luckily, if you take the natural log of e, all you have left behind is the previous exponent. Thus, you can take the natural log of both sides, divide by 4, and then simplify to see that your final interest rate is ~6%