Answer:
x=9
Step-by-step explanation:
(9-7) = 2
9 times 2 = 18 square feet
Answer:
Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of
Step-by-step explanation:
Function A:

Function B:

Required
Which has a greater rate of change
The rate of change of function A is calculated as thus:

Where:


So, we have:



For function B
The general function is:

Where
m is the rate of change
By comparing
to 

So, we have that:
Function A has a rate of -5; function B has a rate of -4.5.
By comparison: -4.5 is greater than 5
Hence, function B has a greater rate.
Answer:
400cm^2
Step-by-step explanation:
For this question, you need to find the surface areas of both objects, then add them together.
For the cube:
56cm for the front
56cm for the back
42cm for the side
42cm for the other side
48cm for the top
48cm for the bottom
SA for the cube: 292cm^2
For the triangle, things are a little different. We do the same process that we did to find the SA of the cube, but we do not have to find the SA of the top side (because there isn't a top side) and we have to divide the total SA by 2 because it's a triangle.
For the triangle:
42cm for the front
42cm for the back
54cm for the slanted side
42cm for the other side
36cm for the bottom
SA for the triangle: (216/2)^2=108cm^2
292+108=400cm^2
the SA of the composite figure is 400cm^2
Answer:
x = 3
Step-by-step explanation:
In a 30-60-90 triangle the side between 60 and 90 degree angle is a, the side between 30 and 90 degree angle is a√3, and the hypotenuse is 2*a.
Given that the side that is supposed to be a is currently √3, we know that the missing side x must be:
a√3 (We know that a, in this case, is √3, so substitute)
x = (√3) * (√3)
x = 3
Answer:
∠AOC = 50°
B is correct.
Step-by-step explanation:
In the given figure of protractor measure the ∠AOC
Please find the attachment of protractor.
OA is horizontal line which is base of protractor.
In angle AOC, two legs OA and OC
OA is base of protractor. OC another leg.
Now we see position of leg OC of angle AOC.
∠AOC is acute angle. So, see the number bottom of protractor.
Hence, the measure of ∠AOC is 50°