Math problem A homeowner has two rectangular structures in her backyard. The dimensions of the hot tub are 6 feet by 8 feet. The dimensions of the fire pit are 7 feet by 9 feet. The length of the square backyard is 20 feet. What area of the yard is not covered by the hot tub and fire pit?

Answers

Answer 1

Answer:

289feet²

Step-by-step explanation:

Area of a rectangle = length x breadth

area of a square = length²

area of the yard that is not covered by the hot tub and fire pit =

Area of the yard - (area of the hot tub + area of the fire pit)

Area of the yard = 20 feet² = 400 feet²

area of the hot tub =  6 feet² x 8 feet² = 48 feet²

area of the fire pit = 7 feet² x 9 feet² = 63 feet²

400 - (48 + 63) = 289 feet²


Related Questions

Factor completely 49x2 − 9.

(7x + 3)(7x − 3)
(7x + 3)(x − 3)
(7x − 3)(7x − 3)
(7x − 3)(x − 3)

Answers

Answer:

number 1

Step-by-step explanation:

faster way to it to try to multiple the first to the 2nd one .

(7x+3)(7x-3)

( 7x .7x - 7x.3 ) + ( 3 .7x - 3.3)

49x^2 -21x + 21x - 9

it take you back to the original equation

Answer:

A is correct

Step-by-step explanation:

Use the Distributive Property to write an expression equivalent to 4(5x + 11)

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{If you’re doing the DISTRIBUTIVE PROPERTY... all you have to}\\\large\text{MULTIPLY 4 within your PARENTHESES.}[/tex]

[tex]\large\text{}[/tex][tex]\large\text{4(5x) + 4(11)}[/tex]

[tex]\large\text{4(5x) = 20x}[/tex]

[tex]\large\text{4(11) = 44}[/tex]

[tex]\large\text{\bf = 20x + 44 }[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 20x + 44}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:}[/tex]

[tex]\large\text{Your GUIDE}\downarrow[/tex]

[tex]\textsf{Distributive formula}[/tex]

[tex]\textsf{a(b + c)}[/tex]

[tex]\textsf{a(b) + a(c)}[/tex]

[tex]\textsf{= ab + ac}[/tex]

 

2/5 how do I put this in to decimal by rounding to the nearest tenth

Answers

Step-by-step explanation:

0.4

hope this helps. :)......

Answer:

0.4

Step-by-step explanation:

2/5 is also written as 4/10

4/10 = 0.4

HURRYYYYY!!
Which of the following is a proportion?
3/4 = 9/19
6/9 = 3/5
4/5 = 2/10
3/7 = 6/14

Answers

Answer:

3/7 = 6/14

Step-by-step explanation:

if u multiplied 3 times 2 you get 6 and that's on the other side. same for 7

Help!! I will give pints and brainlest pls!!!

(No Decimals!)

Answers

Answer:

2: 0.65

Step-by-step explanation:

Blank plus 2/3 equals 9/6​

Answers

Step-by-step explanation:

7/3

Hope it helps to you.,
The answer is 7/3.
9/3 - 2/3 = 7/3

What is the square root of 89

Answers

Answer:

9.43398113206...

Step-by-step explanation:

Answer:

9.4

Step-by-step explanation:

√89 = 9.433981132

rounded - 9.4

What type of relationship does there appear to be between price of gas and number of hybrid cars sold?

A) no relationship
B) quadratic relationship
C) exponential relationship
D) positive linear relationship

Answers

Answer:

A I hope it help's

Answer:

The answer is C

Step-by-step explanation:

As the price of gas increases, then the number of hybrid cars sold also increased, but they did not increase at a constant rate. So this is a exponential relationship.

how many minutes will it take for a plane altitude to change by -5,400 meters

Answers

Answer:

I believe it will be 5 minutes for it to reach that.

help, I don't know what to answer​

Answers

Answer:

The vertices are A, B, and C. Angle C measures 105°.

Step-by-step explanation:

vertices are the corners of a shape. All the angles of a triangle add up to 180°. congruent just means that two shapes are the same.

What is the rate of change of the function?
-2
-1/2
1/2
2

Answers

Answer:

-2/1

Step-by-step explanation:

Answer:

-2/1

Step-by-step explanation:

How does the graph of g(x) compare to the graph of the parent function f(x)?

Answers

thinking you braindead mf

7/8 – m = 2/3

What is the value of m?

correct=brainliest

Answers

Answer: the answer is 5/24

Step-by-step explanation:

If you do 7/8 - 2/3 you get 5/24 and to check your work, do 7/8 - 5/24 and you get 2/3

Hope this helps ^^

I’ve had this problem before and the answer is indeed 5/24

what is 4/7 + 1/8 in math

Answers

correct answer is 39/56

what is the slope of the line that passes through 2,-3 and -2,10​

Answers

Answer:

-13/4

Step-by-step explanation:

10-(-3)=13

-2-2=-4

13/-4

Please help! In the diagram below, lines l and k are parallel.




What is the measure, in degrees, of ∠ABC ?

Answers

Answer:

50

Step-by-step explanation:

x+95 = 4x-10 ( alternate angles)

or, 4x -x = 95+10

or, 3x = 105

x= 35

x+95 = 35+95 = 130

130 + ABC = 180 ( linear pair)

or, ABC = 180-130= 50

plz help giving brainlest

Answers

Answer:

190

Step-by-step explanation:

are of rectangle is length times width

19 times 10 = 190

Answer:

190km

Step-by-step explanation:

If we're trying to find an area of a rectangle, we're going to use the following formula:

a=l×w

A being our answer, area, l being length, our 19km, and w, being our width, our 10km.

We multiply 19 and 10 and get the result 190km!

I hope that this helped out!

Have a good rest of the day/evening.

HEEEEEELLLLLLPPPPPPP MEEEEEEEEEE

Answers

Answer:

y=6

Step-by-step explanation:

-4 + 3y =14

3y= 18

y=6

Answer:

ok if x= -4 then you can rewrite the equation

-4+3y=14

then you solve the problem and you will get

y=6

hope this helped, can I please have brainiest

hey its mathematics please and thank you

Answers

12.93 because 20.56-7.63= 12.93 <3

Sarah uses a recipe to make 7 gallons of her favorite mixed-berry juice. The containers she plans to use to store the juice have a capacity of 1 pint. How many containers will Sarah need?

Answers

Answer:

72 containers

Step-by-step explanation:

As we know that

1 gallon = 8 pints,

So, 2 gallons = 16 pints.

Like wise 7 gallons needs 72 pints

So if there is a capacity of one pint so the number of containers that Sarah would need is 72 containers

hence, the same would be relevant

A tablecloth is 82 inches long. What is the length in feet and inches?

Answers

Answer: 6 feet and 10 inches

Step-by-step explanation:

Each foot has 12 inches in it

You can either divide 82 by 12 or

1 foot: 12 inches

2 foot: 24 inches

3 foot: 36 inches

4 foot: 48 inches

5 foot: 60 inches

6 foot: 72 inches

7 foot: 84 inches

Since 7 foot is too much you can now take 6 feet (72 inches) and subtract it from 82

82-72=10

10 meaning 10 inches

6 feet and 10 inches

You may also divide but you will get a decimal like this:

6.83333333

Unit conversion is a way of converting some common units into another without changing their real value. The length of the table cloth is 6 ft 10 inches.

What is Unit conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

In terms of measurement, one foot is 12 inches.

1 ft = 12 inches

Given that the table cloth is 82 inches long. Therefore, the length in feet and inches are,

Length = 82 inches

            = 82 / 12 foot

            = 6 10/12 foot

            = 6 ft 10 inches

Hence, the length of the table cloth is 6 ft 10 inches.

Learn more about Unit Conversion here:

https://brainly.com/question/4736731

#SPJ2

Find the value of x in the isosceles triangle shown.

Answers

answer: c=10
explanation: 7^2+rad74^2=1/2x^2

Caydin is inviting 11 friends over. Each friend gets 1/4 pizza. How many pizzas does he need?

Answers

11x1/4=2.75
2.75 is close to 3.
Therefore Caydin needs to buy 3 pizzas

Please help me solve this algebraic expression

Answers

Answer:

m^3 + 3m, I simplified.

A savings account starts with $980. If the simple interest rate is 5%, find
the total amount after 9 months.

Answers

Answer:

The total amount after 9 months is $441.

Step-by-step explanation:

5 ÷ 100 = 0.05

0.05 x $980 = $49

$49 x 9 = $441.

Someone help please...

Answers

Answer:

72cm

Step-by-step explanation:

72cm 100% I know because I got it right on the test

Which function is represented by this graph?
A: f(x)=|x+7| - 3
B: f(x) = |x - 7| - 3
C: f(x) = |x + 3| - 7
D: f(x) = |x - 3| - 7

Answers

i believe it would be B: f(x) = |x-7|-3

Answer: B

Step-by-step explanation: B

B :)

find geometric probability​

Answers

Answer: 67%

Step-by-step explanation:

Since we're not solving for area I would just divide this circle into 6 equal parts. 3 on both sides of the diameter. The orange parts take up about 120/180 on one sides of the circle. So 2/3 of half the circle are covered in orange which means 2/6 of the whole circle is covered in orange. Which leaves us with 4/6 blank or white area. 4/6 as a decimal is 0.6666667 or 67%

Answer:

66.67 % (Rounded to the nearest hundreth)

66.666..%  or 66 2/3 %

Step-by-step explanation:

The area of the whole circle with radius 4 is 50.27

The white area is 4/6 =  2/3 of the total area = 33.51333333

The geometric probability is the    favorable area divided by the total area

   33. 513333 / 50.27 = 0.6666666   = 66.666666%

Find the image of the given point
under the given translation


Enter the number that belongs
in the green box.

Please helpp

Answers

Answer:

P' = (2, -6)

Step-by-step explanation:

In this translation, you just need to substitute x and y into the given translation to find what P' is. (x is -6 since it's the x-value of P, and y is -2 since it's the y-value of P):

where T(x, y) = (x + 8, y - 4) and x = -6 and y = -2,

T(-6, -2) = ((-6) + 8), (-2) - 4) (substitute x and y into the translation)

T(-6, -2) = (2, -6) (add and subtract)

So, P' = (2, -6)

Help fast please!!!!!

Answers

Answer:

your correct

Step-by-step explanation:

Answer:

your correct

Step-by-step explanation:

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