Kim has a living room that measures 12 feet by 12 feet. She wants to buy the largest circular area rug that she can find for the
1 answer:
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The formula of an area of a circle with radius r:
Part A.
We have diameter of the circle d = 8 in. The diameter of a circle is equal two times length of a radius.
Therefore:
Calculate the area:
Answer: C. 16π square inches.
Part 2.
Look at the picture.
Total area:
Answer: C. 36π square inches
Answer:
The 20 quarts are used for 6% butterfat milk and 10 quarts are used for 3% butterfat milk .
Step-by-step explanation:
As given
6% butterfat milk and 3% butterfat milk should be mixed to yield 30 quarts of 5% butterfat milk .
Let us assume that x quarts are used for 6% butterfat milk .
Than (30 - x) quarts are used for 3% butterfat milk .
6% is written in the decimal form
= 0.06
3% is written in the decimal form
= 0.03
5% is written in the decimal form
= 0.05
Than the equation becomes
0.06 × x + (30 - x) × 0.03 = 30 × 0.05
0.06x + 0.9 - 0.03x = 1.5
0.06x - 0.03x = 1.5 - 0.9
0.03x = 0.6
x = 20 quarts for 6% butterfat milk .
(30 - x ) = (30 - 20) = 10 quarts for 3% butterfat milk .
Than 20 quarts are used for 6% butterfat milk and 10 quarts are used for 3% butterfat milk .
Answer:
Step-by-step explanation:
log20 = 1.301 (when you see only "log" with no base, it is taken as a base 10)
This basically means:
(This is the log in exponential form)
Since we don't know what is equal to, we will say
= x
So to solve for = x, you do the same thing. (convert to exponential form)
Now you will notice that both of these equations are equal to 20.
Since 20 = 20,
we can say =
Another way of saying 100, is (make the bases the same)
Now we get
(we get 2x because an exponent to the power of an exponent () is the same as 2 * x)
Because you have the same base, you can just ignore the 10s and focus on the exponents. So you get:
2x = 1.301
x = 0.6505