Question

PLEASE HELP!!! 14 POINTS!

Question 3: You can now set the area of the trapezoid equal to the sum of the areas of the three triangles. Which of the following are steps that occur in simplifying the equality? (Attached picture)

Question 4: A manufacturer has a rectangular sheet of metal measuring 45 inches by 105 inches. Which of the following shows the number of school crossing signs that can be cut from this sheet of metal.
A.6
B.7
C.5
D.4

Question 5: Suppose the carnival's organizer wants to reduce the chances players may win. He decides to reduce the area of the circular disk by half. What is the diameter of the new disk?
A. 4√2 in.
B. 4 in.
C. 2√2 in
D. 2 in

Answer 1

area=1/2bh


add them
(1/2)ab+(1/2)c^2+(1/2)ab=
ab+(1/2)c^2
ab+(1/2)(a^2+b^2)
not sure which option to pick there are different preferences on what counts as 'simplified'




4. find area
area=LW
area=105*45=4725
depends on the area of the signs
answer is
4725/(areaof1sign)
anyway, round down your answer because you will have an incomplete sign if you don't




5. area=pir^2
1/2 of it is
area=1/2pir^2
area=(1/4)^2pir^2
area=pi((1/4)r)^2
the radius is now 1/4 of what it was originally, meaning that the diameter is also 1/4 of what it is now
we need to know diamater
answer is 1/4 of current diameter




3. unclear

4. area of 1 sign not given, answer is 4725/(areaof1sign), rounded DOWN to nearest integer

5. (404 error, diameter not found) answer is 1/4 of current diameter