Answer:
40.0 grams
Step-by-step explanation:
An exponential decay function is
.... (1)
where, a is initial value, t is time and r is decay rate.
It is given that element with mass 290 grams decays by 13.2% per minute.
Initial value = 290
Decay rate = 13.2% = 0.132
Substitute a=290 and r=0.132 in equation (1).
Substitute t=14 to find the amount of element remaining after 14 minutes.
Round the solution to the nearest tenth.
Therefore, element with mass 40.0 grams is remaining after 14 minutes.
Given:
radius of cone = r
height of cone = h
radius of cylinder = r
height of cylinder = h
slant height of cone = l
Solution
The lateral area (A) of a cone can be found using the formula:
where r is the radius and l is the slant height
The lateral area (A) of a cylinder can be found using the formula:
The ratio of the lateral area of the cone to the lateral area of the cylinder is:
Canceling out, we have:
Hence the Answer is option B
Answer: Side of largest square tile will be 105 feet.
Explanation:
Since we have given that
dimensions of the wall is 42 feet by 10 feet
So,
Length of wall = 42 feet
Breadth of wall = 10 feet
First we calculate the H.C.F. of 42 and 10,
which is 2 only.
The largest square tile side would be 2 feet.
Now, we find the number of tiles used,
Number of tiles =
We get integer value of number of tiles.
Therefore, Side of largest square tile will be 2 feet.