What is the measure of

Answer: 6.75 feet.

Step-by-step explanation: 4.5 x 1.5

Answer:

Water needed for pool = 486 cubic feet

Plastic liner required for the pool = 298.3 feet

Step-by-step explanation:

Top view of the pool is a composite figure, having one rectangle and a trapezoid.

1). Water needed for the pool = volume of the pool

Volume of the pool = Area of the base × Depth

                               = (Area of the rectangle + Area of the trapezoid)× depth  

Area of the trapezoid = [tex]\frac{1}{2}(b_{1}+b_{2})\times h[/tex]

                                    = [tex]\frac{1}{2}(11+9)\times (12-1.5)[/tex]

                                    = 105 ft²

Area of the rectangle = Length × width

                                    = 11 × 1.5

                                    = 16.5 ft²

Now, volume of the pool = (105 + 16.5) × 4

                                          = 121.5 × 4

                                          = 486 cubic feet

b). Liner required = surface area of the pool excluding top

                             = Surface area of the walls + Area of the pool base

                             = (Perimeter of the pool) × depth + area of the base

                             = (12 + 11 + 1.5 + 10.7 + 9)×4 + 121.5

                             = 176.8 + 121.5

                             = 298.3 square feet

Therefore, amount of water required = 486 cubic feet

liner needed = 298.3 square feet                                  

a. Water needed for pool = 486 cubic feet.

b. Plastic liner required for the pool = 298.3 feet.

a.

Water needed for the pool = volume of the pool

Here

Volume of the pool = Area of the base × Depth

= (Area of the rectangle + Area of the trapezoid)× depth  

So,

Area of the trapezoid = 0.5 × (b1 + b2) × h

= 0.5 × (11 + 9 )(12 -1.5)

= 105 ft²

Now the area of the rectangle

= Length × width

= 11 × 1.5

= 16.5 ft²

Now, volume of the pool = (105 + 16.5) × 4

 = 121.5 × 4

= 486 cubic feet

b). Liner required = surface area of the pool excluding top

= Surface area of the walls + Area of the pool base

= (Perimeter of the pool) × depth + area of the base

= (12 + 11 + 1.5 + 10.7 + 9)×4 + 121.5

= 176.8 + 121.5

= 298.3 square feet

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Answer:

hi

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

43.98

Step-by-step explanation:

is 7 inches the radius or the diameter?

if 7 inches is the radius then 43.98 is the answer

if 7 inches is the diameter 21.99 is the answer

Answer:

2[tex]\pi[/tex]r

Step-by-step explanation:

Answer:

C= 2πr 0r C= 2πd

Step-by-step explanation:

Answer:Statement for Account B is incorrect.

Step-by-step explanation:

Interest for Account B should be 300 x 1.8% = $5.40

The account B is incorrect. The interest of account B is $5.40.

The crediting of cash flows associated with an investment or deposit is referred to as "simple" interest.

In finance and economics, interest is the payment of an amount above the repayment of the principal sum by a borrower or deposit-taking financial institution to a lender or depositor at a specific rate by a borrower or depositor.

Given that you deposit $100 in Account A with a simple interest rate of 3.4% and $300 in Account B with a simple interest rate of 1.8%. One year later, you get a bank statement, that shows the interest for Account A is $3.40 and the interest for Account B is $540.00

SImple interest for account A,

SI = ( 100 x 3.4 ) / 100

SI = $3.4

Simple interest for account B,

SI = ( 300 x 1.8 ) /100

SI = $5.4

Simple interest for account B is incorrect.

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Answer:

32cm

Step-by-step explanation:

2.5m:80cm

1m:n

n=80/2.5

n=32cm

Answer:

The last statement would be right.

Step-by-step explanation:

In The graph it proves that When mike runs 200 meters it would take him 32 seconds and when Brian runs the 200 meters it would take him 40 seconds.

Please Mark BRAINLIEST! Really need it!

Answer:

A. 68%

Step-by-step explanation:

68 + 32 = 100, therefore the answer is 68%.

Answer:

C. 0.68 because 100-32=68 and 0.00 goes to the hundredths place, and 32 out of 100 is also, 32/100...

Answer is 2 and 3/4

-Dhruva;)

Answer:

There are infinite solutions because there is always another number between any two numbers,

Step-by-step explanation:

This is because in the given equation >8 and x < 10 we are not told of the unique numbers we are searching for be it a decimal or a larger number searching for a unit of 9. ie) 8.0009 or searching for specific 9's.

-40s+5.4t+0.1

Step-by-step explanation:

Answer:

[tex] \dfrac{1}{16} [/tex]

Step-by-step explanation:

Definition of a negative exponent:

[tex] a^{-n} = \dfrac{1}{a^n} [/tex]

This problem:

[tex] 4^{-2} = \dfrac{1}{4^2} = \dfrac{1}{16} [/tex]

The right answer is 1/16

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer: 5(h + w)

Step-by-step explanation:

Number of visitors = 5

Each of the five visitors purchased:

One hamburger (h) + one bottle water (w)

Expression for the amount of harmburger and bottle water purchased is thus ;

Number of visitors × (number of harmburger per person + Number of bottle water per person)

5 ( 1h + 1w)

5h + 5w = 5(h + w)

Answer:

D

Step-by-step explanation:

Squaring 121 will still be a real number, a rational number, and an integer. Therefore, it is not an irrational number.

Answer:

range- 19

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Substitute by x = 3, you will find that y = - 9 + 4 = - 5

Then it lies on the line

Answer:

sim

Step-by-step explanation:

Substitua por x = 3, você descobrirá que y = - 9 + 4 = - 5

Então está na linha

Answer: 44 cubic ft.

Step-by-step explanation: First, we need to find the area of the whole bed, by doing length x width x height

2 x 12 x 6 = 144

Now, we simply subtract 100 from 144

Hope this helps :)

Answer:

a huskie and 112 oz

Step-by-step explanation:

1 pound = 16 ounces

? pound = 775 ounces

Answer:

x=-5

Step-by-step explanation:

-8x-6x-3=67

-14x=70

x=-5

Answer:

x = -5

Step-by-step explanation:

Solve for x:

-8 x - 3 (2 x + 1) = 67

-3 (2 x + 1) = -6 x - 3:

-6 x - 3 - 8 x = 67

Grouping like terms, -6 x - 8 x - 3 = (-8 x - 6 x) - 3:

(-8 x - 6 x) - 3 = 67

-8 x - 6 x = -14 x:

-14 x - 3 = 67

Add 3 to both sides:

(3 - 3) - 14 x = 3 + 67

3 - 3 = 0:

-14 x = 67 + 3

67 + 3 = 70:

-14 x = 70

Divide both sides of -14 x = 70 by -14:

(-14 x)/(-14) = 70/(-14)

(-14)/(-14) = 1:

x = 70/(-14)

The gcd of 70 and -14 is 14, so 70/(-14) = (14×5)/(14 (-1)) = 14/14×5/(-1) = 5/(-1):

x = 5/(-1)

Multiply numerator and denominator of 5/(-1) by -1:

Answer:  x = -5

Answer:

k = 143

Step-by-step explanation:

The sum of the 3 interior angles of a triangle = 180°, thus

k = 180 - (27 + 10) = 180 - 37 = 143

Answer:

it's............ a cube

Answer:

Step-by-step explanation:

Given

Height of the rocket is given by

[tex]h=128t-16t^2[/tex]

[tex]h=8\times 16t-16t\times t[/tex]

(a)Greatest common factor in each term is [tex]16t[/tex]

(b)

[tex]h=8\times 16t-16t\times t[/tex]

[tex]h=16t(8-t)[/tex]

(c)

After [tex]t=4\ s[/tex]

[tex]h=16\times 4(8-4)[/tex]

[tex]h=256\ m[/tex]

after [tex]t=6\ s[/tex]

[tex]h=16\times 6(8-6)[/tex]

[tex]h=192\ m[/tex]

Thus after [tex]4\ s[/tex] height of rocket is greater .

Answer:

Total no. of balls = 8

Red balls = 3

Yellow balls = 2

Green balls = 3

Now,

P (picking a yellow ball) = 2/8 = 1/4

P (picking a green ball) = 3/8

[tex]<marquee>♥️Mark as brainliest♥️</marquee>[/tex]

Answer:

C. 53.7%

Step-by-step explanation:

1.16÷2.16=53.7

Hi!

I'm happy to be able to help you today!

Your answer would be C. 53.7% !

This is because if you take 1.16 divided by 2.16 you get 53.7!

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Answer:

X = -15

Step-by-step explanation:

X/5+2 = -1

Subtract 2 from each side

X/5+2-2 = -1-2

X/5 = -3

Multiply each side by 5

X/5 *5 = -3*5

X = -15

Answer:

x =-15

Step-by-step explanation:

[tex]\frac{x}{5}[/tex] +2 = -1

x/5 = -3

5 (x/5) = - (5)

x = -15

Answer: x=1

Step-by-step explanation:

Simplify  2x+x+3 to 3x+3

3x+3=6x

Subtract 3x from both sides.

3=6x-3x

Simplify 6x-3x to 3x

3=3x

Divide both sides by 3.

1=x

Switch both sides

x=1

Answer:

[tex]2 x + x + 3 = 6x : x = 1[/tex]

Step-by-step explanation:

[tex]2x + x + 3 = 6x[/tex]

Add similar elements: [tex]2x + x = 3x[/tex]

[tex]3x + 3 = 6x[/tex]

Subtract 3 from both sides:

[tex]3x + 3 - 3 = 6x - 3[/tex]

Simplify:

[tex]3x = 6x - 3[/tex]

Subtract 6x from both sides:

[tex]3x - 6x = 6x -3 - 6x[/tex]

Simplify:

[tex]-3x = - 3[/tex]

Divide both sides by -3:

[tex]\frac{-3x}{-3} = \frac{-3}{-3}[/tex]

Simplify:

[tex]x = 1[/tex]

Hope I helped, if so may I get brainliest and a thanks?

Thank you, have a good day! =)

Answer:

c

Step-by-step explanation:

1)

15 + 7n - 8 + 3n = 7n + 3n + 15 - 8 = (7 + 3)n + 15 - 8 = 10 n + 7

Associative Property of Addition

2)

12n + 2 (4 n + 2) = 12 n + 8 n + 4 = (12 + 8) n + 9 = 20 n + 9

Distributive Property of Equality

3)

15 n + (17 n + 9) = (15 n + 7 n) + 9 = (15 + 7) n + 9 = 22 n + 9

Addition Property of Equality,

4)

12 n + 6 + 7 n = 12 n + 7 n + 6 = (12 + 7) n + 6 = 19 n + 16

Associative Property of Addition

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The property used is the Associative Property of Addition, which allows us to regroup the terms without changing their order.

We grouped the terms (7n + 3n) and (15 - 8) together as (7 + 3)n and simplified them to get 10n + 7.

The property used is the Distributive Property of Multiplication over Addition, which allows us to distribute a factor to each term inside a parenthesis.

We distributed 2 to (4n + 2) to get 8n + 4, and then combined like terms to get,

12n + 8n + 4 = 20n + 4.

The property used is the Addition Property of Equality, which allows us to add the same quantity to both sides of an equation without changing its value.

We added 9 to both sides of the equation to get 15n + (17n + 9) + 9 = 15n + 17n + 18, which simplifies to 22n + 9.

The property used is the Associative Property of Addition, which allows us to regroup the terms without changing their order.
We grouped the terms (12n + 7n) and (6) together as (12 + 7)n and (6), and simplified to get 19n + 6.

Therefore,

15 + 7n - 8 + 3n = 7n + 3n + 15 - 8 = (7 + 3)n + 15 - 8 = 10 n + 7

Associative Property of Addition

12n + 2 (4 n + 2) = 12 n + 8 n + 4 = (12 + 8) n + 9 = 20 n + 9

Distributive Property of Equality

15 n + (17 n + 9) = (15 n + 7 n) + 9 = (15 + 7) n + 9 = 22 n + 9

Addition Property of Equality,

12 n + 6 + 7 n = 12 n + 7 n + 6 = (12 + 7) n + 6 = 19 n + 16

Associative Property of Addition

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