Answer:
16
Step-by-step explanation:
To calculate x we must use the trig function of tangent:
as tangent is opposite divides by adjacent we can get this equation:
which is equal to:
So x must equal to 15.588.. (just put the second bit in the calculator
As all the values provided are integers you round this to the nearest whole number:
16 (as the third digit, 5, rounds up)
so our answer is 16
Answer:
non linear
Step-by-step explanation:
9514 1404 393
Answer:
a. d = C/π
b. d = 8/π inches ≈ 2.546 inches
c. r = 61/(2π) inches ≈ 9.708 inches
Step-by-step explanation:
a. The formula for circumference is ...
C = πd
Dividing by π gives ...
d = C/π
__
b. For a circumference of 8 inches, the diameter is ...
d = (8 in)/π = (8/π) in ≈ 2.546 in
__
c. The radius is 1/2 the diameter. So, the radius of a circle is ...
r = d/2 = (C/π)/2 = C/(2π)
For a circumference of 61 inches, the radius is ...
r = (61 in)/(2π) = 61/(2π) in ≈ 9.708 in
Answer:
1st Graph
Step-by-step explanation:
A simple way to test if a relation may be taken as a function is by applying the Vertical Line Test. If a Vertical Line crosses the graph only once, then it is a function. In this question, only the first one can be considered to be a function.
Because in other words, only the first graph shows one value for x corresponding to another for y value. Not the case for the second and the third graph displaying two values for x for each y value.
<h3>
Answer:</h3>
50 people
<h3>
Step-by-step explanation:</h3>
Let x represent the number of people on the cruise. The amount they each must pay is ...
... ($58 -(x -42)) = $100 -x
The revenue from the group is the product of the number of people and the amount each pays:
... r(x) = x·(100 -x)
This describes a downward-opeing parabola with zeros at x=0 and x=100. The vertex (maximum) will be found halfway between those zeros, at x=50.
A group size of 50 maximizes revenue from the cruise.
