Answer:
58°
Step-by-step explanation:
A right triangle can be drawn to model the geometry of the problem. The hypotenuse of the triangle is the length of the string, 100 ft. The side opposite the angle is the height of the kite above the ground, 85 ft.
The mnemonic SOH CAH TOA reminds you of the relationship between sides and angles.
Sin = Opposite/Hypotenuse
sin(α) = (85 ft)/(100 ft) = 0.85
The angle whose sine is 0.85 is found using the arcsine (inverse sine) function:
α = arcsin(0.85) ≈ 58.2°
The angle of elevation is about 58°.
_____
When using your calculator to find the values of inverse trig functions, make sure it is in <em>degrees</em> mode. Otherwise, you're likely to get the answer in radians (≈ 1.01599 radians).
we know that
The x-intercept is the value of the variable x when the value of the function is equal to zero
so
In the table we have
is a x-intercept, because
For 
the value of the function is equal to zero
is a x-intercept, because
For 
the value of the function is equal to zero
therefore
<u>the answer is</u>
the continuous function in the table has two x-intercepts
Answer:
c= 9b/a
Step-by-step explanation:
The statement "y varies directly as x," means that when x increases, y increases by the same factor. The statement "y varies inversely as x means that when x increases, ydecreases by the same factor.
Then, we can say that:
c ∝ b, thus c= kb and c = k/a.
Using both equations we have that:
c= kb/a
Given that a=6, b=22 and c=33 we have that:
33 = 22k/6
Solving for k:
k=9.
Then the equation that models the situation is:
c= 9b/a
Answer:
if 
Step-by-step explanation:
Given --> 
Substitute into the equation and solve for 
:
So, when 
