combine like terms: -5p > -10
divide by -5 on both sides: p > 2
Answer:
The total surface area is: 468 in^2 which agrees with answer a)
Step-by-step explanation:
The three lateral faces of the prism are rectangles, and the sums of their areas give:
12 * 10 + 9 * 10 + 15 * 10 = 360 in^2
The area of each triangular base (notice it is a right triangle) is given by:
9 * 12 / 2 = 54 in^2, so we add TWO of these to the three rectangular faces:
Total surface = 360 in^2 + 2 * 54 in^2 = 468 in^2
Answer:
Step-by-step explanation:
For question #1:
For question #2:
Answer:
The answer is 12.64 ft.
Step-by-step explanation:
From the figure it is clear that slope is the hypotenuse which we have to find while the other two sides are legs of the triangle whose lengths are known.
so the pitch of the roof is 12.64 ft. i explained in the figure below as well.
Answer:
800m
Step-by-step explanation:
this would be solved using Pythagoras theorem
we are to find the base
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
600² + b² = 100²
b² = 10000 - 3600
b² = 6400
take the square root of both sides
b = 800m
