Answer:
2a+5b
Step-by-step explanation:
7a-5a =2a
-2b+7b = 5b
Let the distance of Jill form the base of the tower be x, then tan 40 = 100/x
x = 100/tan 40 = 100/0.8391 = 119.18 meters
Let the height of the tower from the level of the top of Jill's apartment be y, then tan 30 = y/119.18
y = 119.18 x tan 30 = 68.8 meters
Therefore, the height of Jill's apartment is 100 - 68.8 = 31.2 meters
Answer:
Option A and E.
Step-by-step explanation:
It is mentioned that Chiyo has a toolbox having a rectangular prism shape with a length of 8 inches, width of 15 inches, and height of 6 inches.
In addition to this, A triangular prism with a triangular base with base 8 inches and height 3 inches. The prism has a height of 15 inches.
So here the shape can be broken into a triangular prism and rectangular prism
Therefore the first option is correct
Now as we know that
Volume of the rectangular prism is
= l×b× h
= 8 × 15 × 6
= 720
And, the volume of the triangular prism is bh
And, the area of the triangular prism is 1 ÷ 2 × b × h
= 1 ÷ 2 × 8 × 3
= 12
Now the volume is
= 12 × 15
= 180
So, the volume of the tool box is
= 720 + 180
= 900
Hence, the last option is correct
Have them right the slope formula down on a note card and make them use that formula until they can remember it.