5 = what percent of 23
5 = x% of 23
5 = (x/100)*23
5 = 23x/100
5*100 = 23x
23x = 5*100
x = 5*100/23
x = 21.739
5 is ≈ 21.739% of 23
4,003,052 is the answer to the problem
Answer:
368 square feet
Step-by-step explanation:
Answer:
Step-by-step explanation:
This is a right triangle trig problem. The base of the right triangle is the distance that Donna if from the flagpole; the flagpole is the side opposite the reference angle which was given as 26, and we are looking for the height of the flagpole, h. The trig ratio that uses the side opposite over the side adjacent is the tangent ratio, specifically:
and
123tan(26) = h so
h = 60.0 rounded to the nearest tenth. But that is only the height from her line of vision and up, not the whole height. In order to find the whole height, we have to add in her height up to her line of vision which is 5.3 feet. Therefore, the height of the flagpole is
60.0 + 5.3 = 65.3 feet.
Answer:
6 quarters, 3 dimes, and 12 nickles
Step-by-step explanation:
Let's say Q is the number of quarters, D is the number of dimes, and N is the number of nickles.
From the information in the problem, we can write three equations:
25Q + 10D + 5N = 240
N = 2Q
Q = 2D
Solve the system of equations using substitution.
25(2D) + 10D + 5(2Q) = 240
50D + 10D + 10Q = 240
60D + 10(2D) = 240
60D + 20D = 240
80D = 240
D = 3
Q = 6
N = 12
There are 6 quarters, 3 dimes, and 12 nickles.