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Answer:
12 a. 4605 feet 12 b. 1,459,063 square feet
Step-by-step explanation:
For the perimeter, we simply add the lengths of each of the 5 sides together (or multiply 5 times one side length).
P = 5(921)
P = 4605 feet
For the area, we will use composition...add the area of the triangle to the area of the trapezoid.
For the area of the triangle, the formula is
.
Filling in our values gives us
and
A = 403,045 square feet.
Now for the trapezoid. The formula for a trapezoid is
where the b's represent the bases and the h represents the height. Filling in our values gives us
Work inside the parenthesis first:
and
A = 1,056,018
Now we add those together to get that area of the Pentagon is 1,459,063 square feet
When you are told to estimate, you should be able to do the problem in your head.
8 7/12 is close to 8 1/2
4 7/8 is very nearly 5
4/10 is very nearly 1/2
8 1/2 - 5 - 1/2 First of all you can take the 1/2 away from 8 1/2
8 1/2 - 1/2 = 8
Now take away the 5
8 - 5 = 3
So the answer is very nearly
3 <<<<< answer.
Just for fun, I'll get the exact answer. Don't hand this one in. It is 3 37/120
You learn to estimate because you are trying to guess whether or not you've entered everything correctly into your calculator. When writing a test, this is a very handy skill to have developed.
Answer:
We know that the formula to mix chemical solutions is: C1V1 = C2V2
where C represents the concentration of the solute, and V represents volume in milliliters or ml.
In this case, we have:
0.06V1 = 0.15×350
Solving for 'V1' we have:
V1 = (0.15×350)/0.06 = 52.5/0.06 = 875
Therefre I can make 875 mL of a 6% solution by diluting 350 mL of a 15% solution.
The answer is D, not similar.
