The sum of 82 and 148 is 230
<h3>
Answer: Theta = 13 degrees</h3>
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Rule:
If cos(A) = sin(B), then A+B = 90
This can be proven through the use of drawing a right triangle with acute angles A and B. Let's say C is the 90 degree angle.
Then note how cos(A) = adjacent/hypotenuse = AC/AB while sin(B) = opposite/hypotenuse = AC/AB. We see that both evaluate to AC/AB. So this confirms cos(A) = sin(B) is true.
The condition that A+B = 90 is from from the fact that any pair of acute angles of a right triangle are complementary angles.
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Using that rule, we can say
cos(77) = sin(theta)
leads to
77+theta = 90
and that solves to
theta = 90-77 = 13
Answer:
H. 99 ft²
Step-by-step explanation:
Area is proportional to the number of tiles.
<h3>Proportion</h3>
The total area of the bathroom is 6×9 = 54 tiles. Of these, 12 are shaded. The proportion can be written as ...
total area / shaded area = total tiles / shaded tiles
total area / (22 ft²) = 54/12 . . . . . use given numbers
total area = (22 ft²)×(54/12) = 99 ft² . . . . . multiply by 22 ft²
The total floor area of the bathroom is 99 square feet.
Step-by-step explanation:
The number of people to paint the bridge is inversely proportional to the number of hours it takes.
(If there are more people, it will take less time etc.)
9 people can paint the bridge in 5 hours.
=> 2 people can paint the bridge in 5 * (9/2) = 22.5 hours.
Answer:
(0-2)
Step-by-step explanation: