Answer:
The volume is increasing at a rate of 33929.3 cubic millimeters per second.
Step-by-step explanation:
Volume of a sphere:
The volume of a sphere of radius r is given by:
In this question:
We have to derivate V and r implicitly in function of time, so:
The radius of a sphere is increasing at a rate of 3 mm/s.
This means that 
How fast is the volume increasing when the diameter is 60 mm?
Radius is half the diameter, so 
. We have to find 
. So
The volume is increasing at a rate of 33929.3 cubic millimeters per second.
Answer:
∠A = 99°
Step-by-step explanation:
Complementary angles sum to 180°, thus
∠A + ∠B = 180 ← substitute values
2x - 23 + x + 20 = 180
3x - 3 = 180 ( add 3 to both sides )
3x = 183 ( divide both sides by 3 )
x = 61
Hence
∠A = 2x - 23 = (2 × 61) - 23 = 122 - 23 = 99°
Answer:
8
Step-by-step explanation:
my sis keep telling me the answers (︶^︶) ◑︿◐
The original price of the sweater is $80 which is 100% of the price.
If the price is reduced by 25%, then the new price is 75% of the original price since 100% - 25% = 75%.
Now we need to find 75% of $80.
To find a percent of a number, multiply the percent by the number.
To convert a percent into a decimal, divide the percent by 100 which is the same as moving the decimal point two places to the left.
Here's how to change 75% into a decimal.
75% = 75/100 = 0.75
Here's how you calculate 75% of $80.
75% of $80 =
= 75% * 80
= 0.75 * $80
= $60
Answer: The sale price is $60.
