The shelf must be at right angles (90 degrees) relative to the wall.
Step-by-step explanation:
Dana concern is that the shelf must be perpendicular to the wall. This means that the angle between the wall and the Dana’s shelf must be 90 degrees.
The term “perpendicular” is sometimes used in the mathematical terminology for the angle of 90 degrees. Hence, the Dana’s shelf must be at 90 degrees relative to the wall. It is to be noted here that straight lines make an angle of 180 degrees. Since the shelf is at 90 degrees, either side of the shelf would be at 90 degrees to the wall.
The total amount of money Levi spent on renting movie and buying candy is $5.75
<h3>Equation</h3>
- Amount Levi rented movie = $3.20
- A package of candy = $2.55
Total = Amount Levi rented movie + A package of candy
= $3.20 + $2.55
= $5.75
Therefore, the total money spent by Levi is $5.75
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The equation of a circle is given in the form

, where
(a, b) is the centre of the circle
r = radius
We have the centre of the circle (-27, 120)
We can work out the radius by modelling the radius as the hypotenuse of a triangle as shown in the diagram below


The equation of the circle is
![[x-(-27)]^2+[y-120]^2=15129](https://tex.z-dn.net/?f=%5Bx-%28-27%29%5D%5E2%2B%5By-120%5D%5E2%3D15129)
![[x+27]^2+[y-120]^2=15129](https://tex.z-dn.net/?f=%5Bx%2B27%5D%5E2%2B%5By-120%5D%5E2%3D15129)
Correct answer: option number 4
Answer:
y = 4 sin(2π/11 x) + 2
Step-by-step explanation:
y = A sin(2π/T x + B) + C
where A is the amplitude,
T is the period,
B is the phase shift,
and C is the midline.
A = 4, T = 11, and C = 2. We'll assume B = 0.
y = 4 sin(2π/11 x) + 2
Answer:

Step-by-step explanation:
we are given a exponential function

where x represents the number and f(x) represents the amount
we are also given that when x is 3 then f(x) is 59 likewise when x is 6 then f(x) is 2165
to figure out the average rate of change between 3 and 6 we can consider the average rate of change formula given by

substitute what we have:

simplify substitution:

simplify division:

hence, the average rate of change between 3 and 6 is <u>7</u><u>0</u><u>2</u>