Let x = the width of the border
2x+23) by (2x + 33) are the overall dimensions of the pool and the border. Use the area to find x!
Overall area - pool area = 660 sq/ft (aggregate area)
(2x+23)*(2x+33) - (23*33) = 660
Solve.
4x^2+112x = 660
4x^2+112x−660=0 → subtract 660 on both sides
4(x−5)(x+33)=0 → factor
x−5=0 or x+33=0 → set both factors equal to 0
x = 5 or x = -33
In this case, we would use the positive solution, so the strip can be 5 ft. wide!
I hope this helps :)
Answer:
C 180-123
Step-by-step explanation:
This is because 180 is what triangles always equal and if one angle is 128 then the rest will be answered from this equation
Hm. Have you ever dispensed water from a hose unto a cone? I know I haven’t, but math can give us a good idea of what it would be like — or at least, how long it would take.
We are told that the hose spills 1413 cm^3 of water every minute. We are also told the cone has a height of 150 cm and a radius of 60 cm. So far, so good.
First things first, we need to find out how much water can fit in the cone. That means volume. The volume of a cone is
π • r^2 • (h/3)
Let’s go ahead and plug in (remember we use 3.14 for π)
(3.14) • (60)^2 • (150/3)
The volume of the cone is 565,200 cm^3
Wait, I’m lost. What were we supposed to do again? Oh, right. We needed to find how long it would take for the hose to fill in the cone. Well, if we know the hose dispenses 1413 cm^3 per minute, and there is a total of 565,200 cm^3 the cone can take, we can divide the volume of the cone by the amount the hose dispenses per minute to get the number of minutes it’d take to fill it.
565200/1413
400 minutes. Wow, ok. I wouldn’t want to wait that long. That’s like watching 3 movies!
Answer:
The length of rectangle is 23 cm.
Step-by-step explanation:
<u>DIAGRAM</u> :


<u>SOLUTION</u> :
Here's the required formula to find the length of rectangle :

- A = Area
- l = length
- b = breadth
Substituting all the given values in the formula to find the length of rectangle :

Hence, the length of rectangle is 23 cm.

<u>LEARN</u><u> </u><u>MORE</u> :


Answer:
58
Step-by-step explanation:
20-5= 15
15+43= 58