A family is having a pool party built in their backyard. If the Yard is rectangular and measures 10x by 10x in the pool is circular with a radius of 2x how much of the yard will be left over after the pool is built. Write your answer in factored form
1. (100-4pi)x^2
2. 100x^2-4pi(x)^2
3. (100+4pi)x^2
4. 100x^2+4pi(x)^2

Answer:

x>5

Step-by-step explanation:

Answer: the answer is > 3

544 = 1000

4321 = 4000

10675 = 11000

I hope I helped! :)

544:1000

4321:4000

10675:11000

Answer:

Point T(x, y) is translated 71 units up and then rotated 180° about the origin

Point U(x, y) is rotated 90° counterclockwise, then translated 124 units up.

Point V(x, y) is reflected about the y axis, then translated 8831 units to the left.

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point R(x, y) is vertical stretched by a factor of 38 followed by a horizontal stretch of 7, the new point is at R'(x/7, 38y). That is (x, y) ⇒ (x/7, 38y).

If a point S(x, y) is translated 9 units to the right, the new point is (x + 9, y), if it is reflected over the y axis, the new point is S'(-x-9, y). That is (x, y) ⇒ (-x-9, y).

If a point T(x, y) is translated 71 units up, the new point is at (x, y + 71), if it is rotated 180° about the origin, the new point is at T'(-x, -y - 71). That is (x, y) ⇒ (-x, -y - 71).

If a point U(x, y) is rotated 90° counterclockwise, the new point is at (-y, x), if it is then translated 124 units up, the new point is U'(-y, x + 124).

If a point V(x, y) is reflected about the y axis, the new point is at (-x, y), if it is then translated 8831 units to the left, the new point is V'(-x - 8831, y).

Answer:

35

Step-by-step explanation:

Answer:-5

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

Area of rectangle = 10 units²

Area of triangle = 10 units²

Area of figure = 20 units²

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1 twice is still 1. This is less then 3.

1 x 1 = 1 <3

Answer:

1568cm²

Step-by-step explanation:

28cm + 28cm = 56cm

35cm + 21cm = 56cm

56 × 56 = 3136cm²

3136cm² ÷ 2 = 1568cm²

Step-by-step explanation:

all working is above

hope thats of help

The y- intercept is 3.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

18x−6y=12

Writing the above equation in slope- intercept form

6y = 18x - 12

y= 18x /6 - 12/ 6

y= 3x - 2.

So, the slope of perpendicular line is -1/3 and passes through (6, 1)

y= mx+ c

1 = -1/3 (6) + c

1 = -2 + c

c= 3

Hence, the y- intercept is 3.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

Answer:

0.156

Step-by-step explanation:

Given that :

% of Explained variance by certain predictors of first year college grade :

SAT 11 scores = 17%

GPA = 15.6%

SAT 1 = 13.3%

Fitting a least squares line :

y = First year college GPA

x = high school GPA

THE r² value which is Coefficient of determination is the percentage of explained variance given by the regression line. The r² value of GPA will the as given above 15.6%

r² = 15.6% = 15.6/100 = 0.156

the supply changing when x=20 is 40

Answer:

She probably wants attention from you maybe compliment her outfit or something like that.

Answer:

b. about 9.4 days

Step-by-step explanation:

Amount of the compound:

The amount of the compound after t days is given by the following equation:

[tex]y(t) = ae^{-0.0736t}[/tex]

The initial amount is:

[tex]y(0) = a[/tex]

Half-life:

t for which [tex]y(t) = 0.5a[/tex]. So

[tex]y(t) = ae^{-0.0736t}[/tex]

[tex]0.5a = ae^{-0.0736t}[/tex]

[tex]e^{-0.0736t} = 0.5[/tex]

[tex]\ln{e^{-0.0736t}} = \ln{0.5}[/tex]

[tex]-0.0736t = \ln{0.5}[/tex]

[tex]t = -\frac{\ln{0.5}}{0.0736}[/tex]

[tex]t = 9.42[/tex]

So about 9.4 days, and the answer is given by option b.

Answer:6.49

Step-by-step explanation:Discount = Original Price x Discount %/100

Discount = 25.95 × 25/100

Discount = 25.95 x 0.25

You save = $6.49

Answer:

0.32851 Kilometers i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

128 * [tex]\frac{5}{8}[/tex]  =  80

Answer:

80

Step-by-step explanation:

let's look at the probability. There is a 5/8 chance of the spinner landing on an odd number. you would multiply the 128 by 5/8 to get your estimate of 80 times the spinner will land on an odd number. Hope this helps! :)

Answer:

the monthly rents of the apartments

Step-by-step explanation:

In the field of statistics, the population of interest may be defined as the group or the population from which the experimenter or the researcher tries to make conclusions or draw their results.

In the context, I am interested to study the cost of the rented house that is more than others in the West Campus area.

So I recorded the monthly rents of the apartments from a sample of 30 one bedroom apartments.

Therefore, the population of interest for my study here is the monthly rents recorded from the sample of one bedroom apartments.

Answer:

100

Step-by-step explanation:

When h has the value 25, the expression 4h has the value 4(25), or 100.

Answer:

100

Step-by-step explanation:

4(25)=100

Answer:

c) 108

Step-by-step explanation:

All angles of a regular polygon are the same.

Step-by-step explanation:

First u have to do the work of bracket and the solve

Answer:

-30

Step-by-step explanation:

0.6x+7=0.1x-8

0.6x-0.1x=-8-7

0.5x=-15

x=-15/0.5

x=-30

Answer:

C

Step-by-step explanation:

When the expression has an equal sign there is only one solution

6x = 150

* divide each side by 6 *

6x / 6 = x

150 / 6 = 25

we're left with x = 25

The answer would be C, because the dot is in between 24 and 26 which would be 25 and x equals 25

Answer:

315 cubic inches

Step-by-step explanation:

To calculate the volume you multiply all the numbers together.

9 × 7 × 5 = 315

The volume of the rectangular prism is 315 cubic inches

Have a wonderful day! :D

9514 1404 393

Answer:

  16

Step-by-step explanation:

The altitude of the triangle is 12/21 = 4/7 of the marked side. If we assume that the marked sides are the ones that are corresponding, then ...

  x = (4/7)(28)

  x = 16

Answer:

2, 4

Step-by-step explanation:

Answer:

8 hours

Step-by-step explanation:

total labor hours required

12 * 6 = 72

hours per worker with 9 workers

72/9 = 8

8 hours