Barney has a swimming pool in his backyard. Calculate the volume of the swimming pool. Round your answer to the nearest whole number.
cubic feet

Answer:

A) DF= 11

B) JH= 13.6

C) GJ= 23.6

D) m∠F= 105

E) m∠G= 34

F) m∠J= 41

Step-by-step explanation:

Step-by-step explanation:

Let the width=x

Length =6x-4

As we know that in a rectangle

[tex]{\boxed{\sf Area=LB}}[/tex]

[tex]\hookrightarrow\sf x (6x-4)=20 [/tex]

[tex]\hookrightarrow\sf 6x^2-4x=20 [/tex]

[tex]\hookrightarrow\sf 6x^2-4x-20=0 [/tex]

[tex]\hookrightarrow\sf x=\dfrac {1}{3}+\dfrac {1}{3}\sqrt {31} \quad or \quad \dfrac {1}{3}+\dfrac {-1}{3}\sqrt {31}[/tex]

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

[tex]\boxed{0}[/tex]

Step-by-step explanation:

x² = (Q - A)(Q - B)(Q - C) ... (Q - Z)

x² =  (Q - A)(Q - B)(Q - C) ... (Q - P)(Q - Q)(Q - R) ... (Q - Z)

x² = (Q - A)(Q - B)(Q - C) ... (Q - P)(0)(Q - R) ... (Q - Z)

x² = 0

x = 0

Answer:

t8y8 uv7g7 ug8 ugy ug h 7 v jvu utyc7 . hit u ut taj h

Step-by-step explanation:

fucjvjvi j jvu jvivu igigi ivigi iigihi ivigi igih

Answer:

For the first one =5.29150262

Step-by-step explanation:

8 squared - 6 squared =64-36=28

square root of 28=5.29150262

Answer:

B

Step-by-step explanation:

42 + 90 = 132 > 6(7+15) > 6*22=132 > 6(7 + 15)= 132

Answer:

$2675

Step-by-step explanation:

Answer:3x^2+(-)4x

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

5tgghjkli

Answer: 21

Step-by-step explanation:

Because u add 7 times 3 is 21

Answer:

21

Step-by-step explanation:

Answer:

3 - [tex]\sqrt{19}[/tex]

Step-by-step explanation:

[tex]\sqrt{(3 - \sqrt{19})^2}[/tex]

The ^2 in the square root cancels each other so

3 - [tex]\sqrt{19}[/tex]

Answer:

[tex] \sqrt{19} - 3[/tex]

Step-by-step explanation:

sqrt (3 - sqrt 19)²

|3 - sqrt 19|

= sqrt 19 - 3

Answer:

1778.68 I think

Step-by-step explanation:

Answer:

605

I just got confused sorry.

Answer:

This system has no solution in the set of real numbers.

Answer:

No solution

Step-by-step explanation:

The equations given are ;

y=-2x² - 4x-1

y = 3x+10

Using a graphing tool, the graphs of the equations are as shown in the attached.

From the graph, a solution occurs where the two graphs intersect. However, in this case, the graphs do not intersect hence there is no solution.

Answer:(9x-7) (5x+9)

Answer: 51 grams

Step-by-step explanation:

Plug in 60 for t and calculate

Answer:

271

9 percent (calculated percentage %) of what number equals 24.39? Answer: 271.

Step-by-step explanation:

Answer:

2.19 I think. Hopefully this helps. You first turn 9% into a decimal, which is 0.09. Then multiply by 24.39, which is 2.19. You can also use the friendly percentage, 10%.

I don't know if this is correct because I'm not too sure, but I hope this helps.

Answer:

B

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, 1) and (x₂, y₂ ) = (- 3, - 4)

m = [tex]\frac{-4-1}{-3+8}[/tex] = [tex]\frac{-5}{5}[/tex] = - 1 → B

Answer:

B. -1

Step-by-step explanation:

Use the following equation:

slope [tex]m =[/tex] [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

[tex](x_1, y_1) = (-3 , -4)\\(x_2, y_2) = (-8 , 1)[/tex]

Plug in the corresponding numbers to the corresponding variables. Simplify:

[tex]m = \frac{(1) - (-4)}{-8 - (-3)} = \frac{1 + 4}{-8 + 3} = \frac{5}{-5} = -1[/tex]

Slope ([tex]m[/tex]) [tex]= -1[/tex], or (B).

~

Answer:

approximately 7 days

Step-by-step explanation:

20 ÷ 3 = 6.6 repeating, round up to 7 days

Answer:

3days and 8hours

Step-by-step explanation:

he painted 3/20 in 1/2day then

3/20 painted  for 1/2 day =12 hours so

1/20 was painted in 12/3=4 hours

since 20 /20 will be how long will be needed to paint the entire fence

20*4hour = 80hours which is (24*3)+8 that will make

3days and 8hours or

3and 1/3 days

Answer:

-7d-14

Step-by-step explanation:

First, let's distribute -7 to (d+2)

-7xd

-7x2

We will get -7d-14

Answer:

Step-by-step explanation:

43

Answer:

On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0).

Step-by-step explanation:

Answer:

50.27

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

[tex] - 23[/tex]

Step-by-step explanation:

Substitute -3 for X in the expression then solve.

Answer:

-23

Step-by-step explanation:

They give us the variable's value, which is [tex]x=-3[/tex]. All we have to do from here is plug it into the expression that they gave us!

So, let's do exactly that! The expression that they gave us is [tex]5x-8[/tex], and we know the value of x because they gave it to us!

Let's plug it in.:

[tex]5(-3)-8[/tex]

Let's follow P.E.M.D.A.S. and our order of operations to determine what to do first. Since we have multiplication going on within parenthesis, let's do that first.

[tex]5(-3)=-15[/tex] because a negative number times a positive number equates to a negative number. Now, we have the following expression: [tex]-15-8[/tex]

Let's subtract this now! Remember, subtracting a number from another number is basically adding the opposite of the second number; essentially, you're following keep, change, flip. You keep the first number without doing anything to it, you change the sign of the operation, and you flip the sign of the 2nd number. Let's revise this problem now with these rules.: [tex]-15 + (-8)[/tex], now we have something that we can work with! Since both numbers are negative and are being added, we keep the sign, and just add their absolute value, leaving us with the expression being -23.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Reflection over the line x = -1 alters the x-coordinates, but leaves the y-coordinates alone. The image point is as far horizontally from the reflection line as the pre-image point is.

Each new x-coordinate is the old one subtracted from twice the x-value of the line of reflection:

  (x, y) ⇒ (-2-x, y)

  U(-8, -6) ⇒ U'(6, -6)

  V(-3, -6) ⇒ V'(1, -6)

  W(-4, -1) ⇒ W'(2, -1)