Find a and b to the nearest integer↑
A construction crew wants to hoist a heavy
beam so that it is standing up straight. They
tie a rope to the beam, secure the base, and
pull the rope through a pulley to raise one
end of the beam from the ground. When
the beam makes an angle of 40 degrees with the
ground, the top of the beam is 8 ft above
the ground.
Th e construction site has some telephone
wires crossing it. Th e workers are
concerned that the beam may hit the wires.
When the beam makes an angle of 60 degrees with
the ground, the wires are 2 ft above the top
of the beam. Will the beam clear the wires
on its way to standing up straight?
<span>Math - Steve Thursday, April 16, 2015 at 6:22pmwe see that the length of the beam is
8/sin40 = 12.45 ft
At 60 degrees, the top is
12.45sin60 = 10.78 ft high
So, the wire is 12.78 ft up.
Since the beam is only 12.45 ft long, it will not touch the wires.</span>
For this equation the dog ate 3/4 of the 30 muffins. You would have started with 40 since the dog ate 3/4. So, the dog ate 3/4 muffins, and you would have 10 remaining.
Please let me know if this was right! Thanks!
Answer:
9π
Step-by-step explanation:
The area of the square is 36 so the side length is 6 because
=6 so
the diameter of the circle is 6 and the radius is 3
the area of a circle is πr² so
3²π=
9π
Original percentage
= 100%
Current percentage
= 100-28
= 72%
Therefore if 72% = 90000
Then 100% = 100/72 x 90000
=$ 125,000
Therefore the value was $ 125,000