Answer:
-3r + 15 ---> answer
Step-by-step explanation:
r < 5
You are going to multiply both sides with 3. The reason being is that 3 is a positive number and the equality sign will not change if you use +3.
3r < 15
Now, subtract 15 from both sides, you will get this:
3r < 15
-15 -15
-------------
3r — 15 < 0
Lastly, using the Modulus function, we are going to add a negative sign to the content of our previous step because it's already negative.
So, -3r + 15 is the final solution if r < 5 in the given equation of l3r-15l
The answer is A
Hope this helps!!
Since both C & D are parallel, angle 2 is a corresponding angle to the angle of 108 degrees, so angle 2 is also 108 degrees
The volume of a cylinder is the area of the circular face times the length of the cylinder.
the area of a circular face is

hence the volume is

the Length "L" is 36 in
the diameter "d" is 3 in
Answer:
Step-by-step explanation:
a) Here, the first term is .48 and the common ratio is 1/100 (since each new 48 is 1/100 th of the previous 48). a
Use the formula s = sum of geometric series = -----------
1 - r
0.48 48
which in this case is s = --------------- = ------------ = 48/99 = 16/33
1 - 1/100 100 - 1
Check this result by finding 16/33 on a calculator. Is the result equal to 0.484848484848.... ? Yes
b) Here we have the bar over the 8 only. 0.48 with the bar over the 8 is equivalent to 0.4888888888 ...
0.08
or 0.4 + 0.0888888888 ... or 0.4 + ------------
1 - 1/10
0.08 8
and this simplifies to 0.4 + ------------ = 0.4 + ---------
9/10 90
Evaluating this last result on a calculator results in 0.488888888 ...
c) 0.48 expressed as a fraction is 48/100 = 12/25