Answer:
a. 
b. 
Step-by-step explanation:
a. Radius of semicircle (r) = r
Diameter of semicircle (d) = 2r
Length of rectangle (l) = 2*diameter of semicircle = 2*2r = 4r
Distance around the track (p) = circumference of circle + 2(l)
Note: the two semicircles of the track = 1 full circle
Circumference of full circle = πd = π*2r = 2πr
Distance around the track:
p = 2πr + 2(4r)
p = 2πr + 8r
b. Rewriting the formula to make radius, r, the subject of the formula in terms of distance around the track.

Factor out r

Divide both sides by (2π + 8)



Answer:
a. 4
b. -8
c. -2
Step-by-step explanation:
Take any number x;
Its opposite is -x
The opposite of its opposite is x
Using the above statements, we can solve the following questions
Solving (a): -4
In this case:

The opposite; -x is


Solving (b): 8
In this case:

The opposite; -x is

Solving (c): -2
In this case:

The opposite; -x is


The opposite; -(-x) is


Answer:
12
Step-by-step explanation:
3 times 12 is 36
So you have your polynomial. To factor this out, you need to find the factors of -45 that will add up to 3. These two factors would be -5 and 8. So, you have factored your polynomial! (x-5)(x+8). If you are still unsure, simply use the FOIL method to check and see if you get the same polynomial back. Hope this helps!
Answer:
Cost of 45 screwdrivers will be = $900
Step-by-step explanation:
Last year 15 electric screwdrivers cost to the local hardware store = $300
So per screwdriver cost = 
= 
= $20
Now we have to calculate the cost of 45 screw drivers.
Since cost of 1 screwdriver = $20
So cost of 45 screwdrivers = 20×45 = $900