Answer:
D. 137
Step-by-step explanation:
First, get the area of the rectangle:
Then, get the area of the triangle:
Now substract the area of the triangle from the rectangle:
165 - 28 = 137
∴ 137
Answer:
The rate of change is 10%
Step-by-step explanation:
The computation of the rate of change is as follows:
Given that as on Jan 15, the snow pack is 150 inches
And, the last year, it would decrease by 11 inches a week after jan 15
So, the rate of change is
= 15 ÷ 150
= 10%
The percentage for both the cases would be 100% and 35% respectively
First problem: draw a line segment through the vertex R and a point C on PQ such that the segment is perpendicular to PQ, thus forming an altitude of the triangle. This new segment CR, the new segment CP, and PR form a 30-60-90 right triangle, where the measure of angle PCR is 90 degrees. CR then occurs with PR in a ratio of
to 2, so
and this can be considered the height of a triangle whose base is PQ. The area is then
Second problem: the sum of the interior angles of any triangle is 180, so the measure of the missing angle must be 180 - 20 - 35 = 125 degrees. By the law of sines, the length of the missing side (call it
) satisfies
Use Heron's formula to find the area of the triangle:
where
is the area,
are the lengths of the sides, and
is the half the perimeter of the triangle. Then the area is about
square feet. Convert to square yards:
then round up to 7 square yards. At a price of $12.50 per square yard, the total price will be $87.50.