Answer:
c. 105 yd^2.
Step-by-step explanation:
First find the slant height (h) of each of the triangular walls:
tan 60 = h / 3.1
h = 3.1 tan 60
= 5.369 yds.
Area of each side = 3.1* 5.369
= 16.645
Total surface area of the pyramid
= 4 * 16.645 + 6.2^2
= 105.02 yd^2.
Answer:
a. 36 blueberries and 12 strawberries
b. 16 blueberries and 4 strawberries
Step-by-step explanation:
The computation of each berry in the bowl is shown below;
a. Total 48 berries
The Ratio of blueberries to strawberries is 9:3
So, the blueberries is = 48 × 9 ÷ (9 + 3) = 36
And, the strawberries is = 48 × 3 ÷ (9 + 3) = 12
b. Total 20 berries
The Ratio of blueberries to strawberries is 4:1
So, the blueberries is = 20 × 4 ÷ (4 + 1) = 16
And, the strawberries is = 20 × 1 ÷ (4 + 1) = 4
Answer:
c = 15/2
Step-by-step explanation:
Multiply both sides of the equation by 9, then reduce the fraction.
9(5/6) = c
15/2 = c
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<em>Alternate methods</em>
You are usually told to "cross-multiply" which means you multiply the expression by the product of the denominators. this would give you ...
9(5) = 6(c)
Then you would divide by the coefficient of c to get ...
(9·5)/6 = c = 15/2
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Since c is multiplied by 1/9, you can solve this by multiplying by the inverse of that coefficient, 9. That is what is done in the first section above. Usually, this does in one step what the "cross-multiply" method does in 2 steps.
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The "cross multiply" step can also be done by multiplying by the least common multiple of the denominators, 18. Then you have ...
18(5/6) = 18(c/9)
15 = 2c
Now, dividing by the coefficient of c gives ...
15/2 = c
Answer:
D
Step-by-step explanation:
100%-45%=55%
$115*55%=$63.25
Their sum can be both equal, or greater. If you have 3/8 and 6/8, you would get 9/8 or 1 and 1/8. Which is greater than 1. Also if you add 2/6 and 4/6, you get 6/6 or 1. proving that both are possible.
