The answer is the first option: it has the same domain as the function f(x) = - √(-x).
The domain is the set of x-values for which the function is defined.
The square root function is defined only for zero and positve values.
- x is positive when x negative.
So the domain for - √(-x) and √(-x) are the same: x less than or equal to zero.
Length of both legs are 5, the hypotenuse is 5sqrt(2) for an explanation, look up a 45 45 90 special right triangle on google
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>
If 43 should be 4/3 then the ratio is 3
Answer:
55%
Step-by-step explanation:
In this question, the scenario is that Ms Grant made a presentation to the company that made her pay rise from $18 an hour to $27.90 an hour. We are now asked to find the percentage increase.
Mathematically, to get this, all we need to do is to subtract the old value from the new value, divided by the new value and multiplied by 100%. What we are saying here is that:
(New value - old value)/old value * 100%
(27.90 - 18)/18 * 100%
9.9/18 * 100%
That equals 990/18 = 55%
This means Ms Grant’s pay increased by 55%
