Answer:
He answered 20 questions correctly.
Step-by-step explanation:
25×.8(80%) = 20.
area of square = 9 x 9 = 81 square feet
area of 1 corner = 1/2 * 3 * 3 = 4.5 square feet
4.5 * 4 = 18 square feet total of all 4 corners
81 - 18 = 63 square feet total not covered by benches.
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Answer:
Option 3. 71 ft. is the distance between B and top of the hill.
Step-by-step explanation:
Let the height of the hill is h ft and the distance of A from the hill be x ft and distance from B to hill is y.
It is given distance between A and B is 45 ft. ∠BAO = 65° and ∠ABO = 80°.
We have to find the distance of B from the top of the hill.
Now from ΔACO 

From ΔBCO 
h = 5.67x
Now h = 5.67x = 2.14(45-x)
5.67x = 96.3 - 2.14x
2.14x + 5.67x = 96.3
7.81x = 96.3
x = 96.3/7.81 = 12.33 ft
Therefore 


Therefore 71 ft is the distance between B and the top of the hill.
Answer:
8090.54
Step-by-step explanation:
30.8*6.6*39.8
The question is related to trigonometry and we have to use the formula of double angle .
Here we use double angle formula of tangent function which is

Given expression is

Comparing it with double angle formula, we will get x = 5
SO the required expression is equal to


So the answer is tan(10) .