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3 years ago

5

A rotating sprinkler that sprays water at a radius of 11 feet is used to water a lawn. Determine the area of the lawn that is wa

tered. Round your answer to two decimal places.

1 answer:

Dovator [93]3 years ago

3 0

Answer:

379.94 ft

Step-by-step explanation:

A=3.14x R^2

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Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

$y - k = a {(x - h)}^{2}$

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

$y + 2 = a {(x - 1)}^{2}$

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

$y + 2 = 2 {(x - 1)}^{2}$

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

$y + 2 = 2( {x}^{2} - 2x + 1)$

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

7 0

3 years ago

What’s the domain and range for these two?

user100 [1]

Step-by-step explanation:

1) the domain is from -3 to 5 D [-3,5]

the range is from -5 to -2. R [-5,-2]

2)the domain is from -3 to 6 but not including 6 D [-3,6)

the range is from -5 but not including -5 to 2. R (-5,2]

4 0

3 years ago

Which simplified fraction is equal to 0.53? 1) 24/45 2) 8/15 3) 48/90 4) 5/9

Shalnov [3]

To express a decimal number (with a finite decimal expression) in a fraction, you work like this: the numerator is the number without decimale separator (you simply pretend it's not there), while the denominator will be $10^n$ , where n is the number of digits after the decimal separator.

So, in your case, the number without decimal separator is 53, and you have two digits after the decimal separator, so the fraction will be

$0.53 = \cfrac{53}{10^2} = \cfrac{53}{100}$

which is irreducible.

6 0

3 years ago

Read 2 more answers

A company manufactures a 14-ounce box of cereal. Boxes are randomly weighed to ensure the correct amount. If the discrepancy in

Stolb23 [73]

Answer:

Answer is B on Edge

F(x)=14-x

Step-by-step explanation:

8 0

3 years ago

The formula for the volume of a pyramid is V=(1/3) ⁢B⁢h, where B is the area of the base and h is the height. Rearrange the form

PIT_PIT [208]

To make an equation that solves for the height as according to the volume of a pyramid, you must isolate the variable h on one side.

The first thing you have to do is to multiply both sides by 3 to get 3V=Bh.

Then, divide both sides by B to get your answer as h=3V/B.

6 0

3 years ago