Answer:
The sprinkler can spread water 18 feet away.
Step-by-step explanation:
We are given the following in the question:
Area formed by watering pattern = 1,017.36 square feet
We have to find the how far the sprinkler spread the water.
The sprinkler covers a circular area. We need to find the radius of this circular area to find the how far the sprinkler spread the water.
Area of circle =
where r is the radius of the circle.
Putting values, we get,
Thus, the sprinkler can spread water 18 feet away.
See attached for a sketch of some of the cross sections.
Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).
If the thickness of each cross section is ∆x, then the volume of each cross section is
∆V = (√(x + 1))² ∆x = (x + 1) ∆x
As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,
I think you mean write in word format so yea
11.09
"Eleven and 9 hundredths"
To convert decimals to fractions first put the decimal over 1, multiply by ten for every number after the decimal point and simplify.
(11.09/1)(10)(10) *Because there are 2 numbers after the . 0 and 9*
1109/100
This will be the most simplified you can get it!
As a mixed number:
11 9/100
Follow these steps for the rest!
21.06
"twenty one and six thousandths"
1053/50
21 3/50
0.06
"six thousandths" or
"zero and six thousandths"
3/50
0.50
"fifty thousandths" or "five tenths" since 0.50=0.5
1/2
6.15
"six and fifteen thousandths"
123/20
6 3/20
7.41
"seven and fourty one thousandths"
741/100
7 41/100
I HOPE THIS HELPS
Answer:
2) Vertical translation of 10 units
Step-by-step explanation:
Given
H and H'
Required
Which maps H to H'
First, we pick the coordinate of any point on H
First, we pick a corresponding coordinate on H'
The above coordinates show that H and H' are not a reflection of one another because neither of the x or y coordinates negate one another.
By looking at the coordinates of H and H, we have:
H: 
and H': --- The same x coordinates
H: 
and H': 
--- Different y coordinates
The difference between the y coordinates is:
Hence,
<em>2) Vertical translation of 10 units
</em> is correct.
Answer:
(11/15)'s
Step-by-step explanation:
(2/5) is equal to (6/15)
(1/3) is equal to (5/15)
(5/15)+(6/15)=(11/15)
