Answer:
18
Step-by-step explanation:
Alright so here you have to work backwards. the volume of a cylinder is pi*r^2*h.
Your equation: 486 pi = pi*r^2*6
You know the height is 6 feet, so you can get rid of the 6 feet hanging off of your equation by dividing both sides by 6:
81 pi = pi*r^2
Now you notice that both sides have pi. You can eliminate it by dividing both sides by pi:
81 = r^2
To isolate the r, radius, you have to take the square root of both sides, since a square root is the inverse operation of squaring. You get:
9 = r
Now that you have the radius, you can find the diameter by multiplying the radius by 2, because a diameter = 2 * the radius:
18 = d
Hope this helps!
Answer:
-2/5
Step-by-step explanation:
The slope of two parallel lines will be the same.
Here, our equation is 5y + 2x = 12. Let's find the slope by isolating y:
5y + 2x = 12
5y = -2x + 12
y = (-2/5)x + 12/5
So, the slope is -2/5.
Thus, the slope of the line parallel to the given one will be -2/5.
<em>~ an aesthetics lover</em>
Answer:
Construct the perpendicular bisectors of each side
Choice A is correct
Step-by-step explanation:
Circumscribe means to draw on the outside of a geometric figure just touching the corner points but never crossing.
The steps in constructing a circle circumscribed about a triangle;
Construct the perpendicular bisector of one side
Construct the perpendicular bisector of another side
Where the lines cross is the center of the Circumscribed circle
.
Answer:
The annual interest rate is 12.05%.
Step-by-step explanation:
The simple interest is given by the formula:

Where I denotes interest.
P denotes the principal amount.
R denotes the rate of interest
and T denotes the time period.
I=$160.67, P=$2000, t=8 months=8/12 years (Since 12 months=1 year so 1 month=1/12 year)

Hence, the annual interest rate is 12.05%.
Answer:THIS TOOK ME FOREVER BUT WAS WORTH IT
1)1 1/7 times 1 3/4=2
2)8 1/3 times 3/5=5
3)4 3/8 times 1 2/3= 7 7/24
4)5 1/2 times 3 1/3=18 1/3
5)7 1/5 times 2 1/6=10 3/14
6)2/3 times 4/15=8/4
7)2 2/5 times 1 1.4=27 9/25
8)4 2/5 times 10=44
9)26 times 2 1/2=65
10)6 times 3 2/3=22
11)6 1/4 times 1 5/7=10 5/7
12)3 1/3 times 2 3/5=8 2/3
13)4 1/2 times 4 2/3=21
14)5 5/8 times 1 5/9=8 2/4
Step-by-step explanation: