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>
Answer:
Donato drinks more juice
Step-by-step explanation:
Aman drank half of his juice since he only drank 3/6, and Donato drank more than half. If he had drank half it would have been 2/4, but instead, he drank 3/4
The full length of the circumference is
C = 2πr
C = 2π*100 m ≈ 628.32 m
1/3 that distance is (628.32 m)/3 ≈ 209.44 m
Maile walked about 209.4 m.
Using the Pythagorean theorem:
WY =√(5^2 + 12^2)
WY = √(25 +144)
WY = √169
WY = 13 mm
Answer:
B) 0.894
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
A local animal rescue organization receives an average of 0.55 rescue calls per hour.
This means that 
Probability that during a randomly selected hour, the organization will receive fewer than two calls.
In which
