The rectangle below has an area of 70 square meters. Find the dimensions of the rectangle. (x - 11) (x - 8)

Answers

Answer 1

Answer:

the dimensions of the rectangle are 10 and 7.

Step-by-step explanation:

Given;

area of the rectangle, A = 70 m²

dimensions of the rectangle, = x - 11 and x - 8

The area of rectangle is calculated as;

A = L x B

70 = (x - 11)(x - 8)

70 = x² - 8x - 11x + 88

0 = x² - 8x - 11x + 88 - 70

0 = x² - 19x + 18

0 = x² - x - 18x + 18

0 = x(x - 1) -18(x - 1)

0 = (x - 18)(x - 1)

0 = x - 18     or    

0 = x - 1

x = 18 or 1

The dimensions of the rectangle are calculated as;

L = 18 - 11  = 7

B = 18 - 8 = 10

Therefore, the dimensions of the rectangle are 10 and 7.


Related Questions

Write 0.31% as a decimal.

Answers

Answer:

0.31% = 0.0031 in decimal form.

Step-by-step explanation:

Percent means 'per 100'. So, 0.31% means 0.31 per 100 or simply 0.31/100. If you divide 0.31 by 100, you'll get 0.0031 (a decimal number).

Fred went to his local zoo that featured 6 whale exhibits. If the zoo features 15 exhibits in total, then what percent of the zoo's exhibits feature whales.

Answers

Answer:40%

Step-by-step explanation:

Given

The zoo featured 6 whales exhibits

There are 15 exhibits in total

Percentage of Zoo's exhibits featuring whales

[tex]\Rightarrow \dfrac{6}{15}\times 100=40\%[/tex]

14 What value of x makes this equation true?
12x - 15 = 6 - 3x

Plsss help me and hurry

Answers

Answer:

1.4

Step-by-step explanation:

12x+3x=15+6

15x=21

X=21/15

X=7/5 or 1.4

i’ll give brainliest help plz

Answers

Answer:

The first question on the very left it shows

Step-by-step explanation:

go left from main question and up

HELP ASAPP!!!! PLZZZ

Answers

Answer:

x = 4

Step-by-step explanation:

35/60 = (5x+1+35)/96

3,360 = 60(5x+36)

56 = 5x+36

20 = 5x

x = 4

evaluate the expression

Answers

Answer is here in a file

I need help with the first question pls

Answers

Answer:

67.5 feet

Step-by-step explanation:

If 1 inch = 9 feet, and the model is 7.5 inches,

you just need to do 7.5 • 9 = 67.5 feet.

OR

7 • 9 = 63 and 1/2 (or .5) • 9 = 4.5

63 + 4.5 = 67.5

*I'm pretty sure it says 1 inch = 9 feet and I'm also basing this off the fact that your work for question 2 is showing the same ratio of 1 inch = 9 feet

What is the equation of this line?

Write the equation in slope-intercept form.

Answers

Answer:

we start by finding the gradient which is 2

then we use the formula y-y1=m (x-x1)

which will be = y=2x-7



A heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level.



True or False

A. The difference in height between the pelican and the heron is -33 feet.

Answers

Answer:

False

Step-by-step explanation:

This is because there both above sea level and 50-17=33 not -33

Convert 639 into quinary system​

Answers

Step-by-step explanation:

To convert decimal number 639 to quinary, follow these steps:

Divide 639 by 5 keeping notice of the quotient and the remainder.

Continue dividing the quotient by 5 until you get a quotient of zero.

Then just write out the remainders in the reverse order to get quinary equivalent of decimal number 639.

Using the above steps, here is the work involved in the solution for converting 639 to quinary number:

639 / 5 = 127 with remainder 4127 / 5 = 25 with remainder 225 / 5 = 5 with remainder 05 / 5 = 1 with remainder 01 / 5 = 0 with remainder 1

Then just write down the remainders in the reverse order to get the answer, The decimal number 639 converted to quinary is therefore equal to :

10024

a dozen exercise books cause $840.what is the cost of four of the same exercise book
280

200

300

260​

Answers

280 because 840 divided by 12 ( a dozen) is 70. So 70 times 4 books equals 280. Lmk if I’m wrong:)

Step-by-step explanation:

☯ [tex] \underline{ \underline{ \large{ \tt{C \: O \: R\: R \: E \: C \: T \: I \: O \: N}}} }: [/tex]

Dozen of exercise books costs $ 840. What is the cost of four of the same exercise book ?

✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V\:E \: N}}} }: [/tex]

Cost of dozen of exercise books [ 12 exercise books ] = $ 840

✧ [tex] \underline{ \underline{ \large{ \tt{T \: O \: F \: I \: N \: D}}}} : [/tex]

Cost of four of the same exercise books

✎ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L\: U \: T \: I \: O \: N}}}} : [/tex]

Firstly , Find the cost of 1 exercise book

[tex] \text{Cost \: of \: 1 \: exercise \: book }= \tt{ \frac{840}{12} = \$ \: 70 }[/tex]

Find the cost of 4 exercise books

[tex] \text{Cost \: of \: 4 \: exercise \: books} = \tt{ \$70 \times 4} = \boxed{ \tt{ \$280}}[/tex]

[tex] \boxed{ \boxed{ \large{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \tt{ \$ \: 280}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night !ツ

Let me know if have any questions regarding my answer! ♪

[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Please help ASAP i don’t know how to do this

Answers

Answer:

c = 74

d = 122

a = 58

b = 48

Step-by-step explanation:

C: a triangle always equals to 180, so 48 + 58 - 180 = 74

D: Angels next to each other on a line always equal to 180, so 180 - 58 = 122

A: Alternating interior angles of a parallel line equal to each other, so it would also be 58

B: A line is 180, so C + A - 180 = B, 74 + 58 - 180 = 48

i need this done today whoever gets it correct gets brainliest!! PLZZZ HELPPP MEEE

Answers

Answer:

B is twice the size of A, so the ratio would be 2:1.

Step-by-step explanation:

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:

WILL GIVE BRAINLIEST

Answers

It’s B Ps U gottttt thisssss

please help, find the area​

Answers

Answer:

26 units^2

Step-by-step explanation:

You have all the information to find the area of each of the triangles that make up the kite so all you need to do is find the area of each of them and add them all together.

Triangle 1 = 1/2(2 x 7) = 7

Triangle 2 = 1/2(2 x 7) = 7

Triangle 3 = 1/2(2 x 6) = 6

Triangle 4 = 1/2(2 x 6) = 6

Total Area                   = 26

The area of the kite is 26 units^2

A balloon artist creates balloon hats for children at a store’s grand opening. The graph shows the number of balloons the artist has remaining, y, after creating x hats.

A coordinate plane showing Balloon Hat Creations. The x-axis shows Number of Balloon Hats and the y-axis shows Balloons Remaining. The straight line starts at (0. 500) and continues down and to the right through points, (50, 250) and ends at (100, 0).
What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Select three options.

Answers

Answer:

(B)negative slope

(C)constant slope

(E)decreasing function

Step-by-step explanation:

just took the test :)

Answer:

B,C,E

Step-by-step explanation:

Rockys rock quarry has three different sized trucks. Each truck can hold three ba the shipping manger put three bags that each hold about 200 pounds.

Answers

Question isn't well formatted and seems incomplete :

Rockys rock quarry has three different sized trucks. Each truck can hold three ba the shipping manger put three bags that each hold about 200 pounds. The total weight of in the truck.

Answer:

Step-by-step explanation:

Given that:

Number of trucks = 3

Number of bags each truck can hold = 3

Weight per bag = 200 pounds

Amount of in each truck :

Weight per bag * number of bags

200 * 3 = 600 pounds

Which is 600 pounds per truck

Total pounds carried by the trucks :

600 pounds * 3 = 1800 pounds

A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year, the poster is worth $20.70. Which equation can be used to find the value, y, after x years? (Round money values to the nearest penny.) y = 18(1.15)x

Answers

Answer:

[tex]y = 18 * 1.15^x[/tex]

Step-by-step explanation:

Given

[tex]a = 18[/tex] --- initial

[tex]r =15\%[/tex] -- rate

Value after a year = $20.70

Required

Expression to calculate its value after y years

This is calculated using:

[tex]y = ab^x[/tex]

Where

[tex]b=1 +r[/tex]

Substitute [tex]r =15\%[/tex] in [tex]b=1 +r[/tex]

[tex]b = 1 + 15\%[/tex]

[tex]b = 1 + 0.15[/tex]

[tex]b = 1.15[/tex]

Substitute [tex]b = 1.15[/tex] and [tex]a = 18[/tex] in [tex]y = ab^x[/tex]

[tex]y = 18 * 1.15^x[/tex]

Dax is buying hot chocolate for 5 people in his office (including himself). He pays for the 5 drinks and leaves a $2.00 tip.

If the total, with tip, is $18.25, how much is each cup of hot chocolate?

Enter your answer as a decimal, like this: 42.53

Answers

Answer: Each cup of hot chocolate is $3.25

Step-by-step explanation:

Plrase quick hurry !!!

Answers

the answer is 30 hope this helps
30 i hope you pass :)

Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality represents the amount she can still spend this month and remain within her budget?
x greater-than 272
x less-than-or-equal-to 272
x less-than 272
x greater-than-or-equal-to 272

Answers

Answer:

1200-928 = 272 for the rest of the month Clarissa has to spend.

Step-by-step explanation:

So we don't want her to go over her budget so we wouldn't choose a greater than option for her so eliminate the first option and the last option. Now we just have the middle two. We want to keep it under 1200 but theres nothing wrong with spending that exact amount each month so I would pick x less than or equal to 272, since we can still equal the total of less than the total and not go over. Option 2 or B.

Answer:

b on edg

Step-by-step explanation:

Describe two different ways to find the total area of the park.

Answers

Answer:

1. Combine the like terms from all 3 sections then subsite for X.

2. You can subsitue X in and solve the areas for each section, then adding up the 3 areas.

Step-by-step explanation:

The two ways to find the total area of the park are:

Add the Areas of Each Section

Use Geometric Shapes

Both methods should give us the same total area of 3x² + 175x + 1200 ft².

What is an expression?

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.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Method 1:

Add the Areas of Each Section

We can find the total area of the park by adding the areas of each section. Therefore, the total area is:

Total Area = Game field + Picnic field + Recreation area

Total Area = (x² + 95x + 450) + (x² + 45x + 450) + (x² + 35x + 300)

Total Area = 3x² + 175x + 1200 ft²

Method 2:

Use Geometric Shapes

Another way to find the total area of the park is to use geometric shapes that represent each section.

We can see that the Game field and Picnic field have the same area of

x² + 95x + 450 ft², which we can represent as a rectangle.

The Recreation area has an area of x² + 35x + 300 ft², which we can represent as a triangle.

Therefore, the total area of the park is the sum of the areas of the rectangle and triangle.

Total Area = Area of Rectangle + Area of Triangle

Total Area = (x + 15)(x + 30) + (1/2)x(x + 35)

Total Area = 3x^2 + 175x + 1200 ft^2

Thus,

Both methods should give us the same total area of 3x² + 175x + 1200 ft².

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

what's the value of x?

[tex] {x}^{2} = 625[/tex]

Answers

Answer:

hey mate!!

Step-by-step explanation:

x^2=625

x=√625

x=25

hope it helps

find the area will mark brain list

Answers

Answer:

I guess the dude in the comments helped you out first but when that answer gets deleted this will be here

Step-by-step explanation:

plz give big brain crown

need help with trig. find the value of variable to the nearest tenth​

Answers

Answer:

x = 10.43

Step-by-step explanation:

use tan:

⇒ tan = [tex]\frac{opposite}{adjacent}[/tex]

⇒ tan 41 = [tex]\frac{12}{x}[/tex]

tan of 41 is 0.869

⇒ 0.869 = [tex]\frac{12}{x}[/tex]

multiply each side by 12

⇒ 0.869 x 12 =[tex]\frac{12}{x}[/tex] x 12

x = 10.43

Answer:x = 10.43

Step-by-step explanation:give credit to the other person


A rectangular rug measures 9 feet by 6 feet. The rug has two
nonoverlapping yellow circles that each have a diameter of 3 feet. The
part of the rug not covered by the circles is blue.

What percent of the rug is blue? HELP HELP

DO NOT ANSWER “ DOWNLOAD HERE” STOP DOING THAT I ACTUALLY NEED HELP

Answers

Answer:

54%

Step-by-step explanation:

Answer:

74%

Step-by-step explanation:

Trust me

Help me I’m struggling

Answers

I am not sure how to do the "Two different approaches" but I can tell you the answer.

(750-182.9) divided by 5.35 = Number of pizzas left to sell = 106

106 = answer

Hope this helped! If it did, please give brainliest! It would help a lot :D

What is the FNAF timeline

Answers

Answer:

Step-by-step explanation:

Five Nights at Freddy's (2014)

Five Nights at Freddy's 2 (2014)

Five Nights at Freddy's 3 (2015)

Five Nights at Freddy's 4 (2015)

Five Nights at Freddy's: Sister Location (2016)

Freddy Fazbear's Pizzeria Simulator (2017)

Ultimate Custom Night (2018)

Five Nights at Freddy's: Help Wanted (2019)

Five Nights at Freddy’s: Special Delivery (2019)

Five Nights at Freddy’s: Security Breach (2021)

Answer: Fnaf timeline is the like years the games(etc.) were released.

4.1.1 Five Nights at Freddy's (2014)

4.1.2 Five Nights at Freddy's 2 (2014)

4.1.3 Five Nights at Freddy's 3 (2015)

4.1.4 Five Nights at Freddy's 4 (2015)

4.1.5 Five Nights at Freddy's: Sister Location (2016)

4.1.6 Freddy Fazbear's Pizzeria Simulator (2017)

4.1.7 Ultimate Custom Night (2018)

4.1.8 Five Nights at Freddy's: Help Wanted (2019)

4.1.9 Five Nights at Freddy's: Special Delivery (2019)

4.1.10 Five Nights at Freddy's: Security Breach (2021)

4.2 Spin-offs

4.2.1 FNaF World (2016)

4.2.2 Freddy in Space 2 (2019)

4.2.3 Security Breach: Fury's Rage (2021)

6.1.1 Five Nights at Freddy's: The Silver Eyes (2015)

6.1.2 Five Nights at Freddy's: The Twisted Ones (2017)

6.1.3 Five Nights at Freddy's: The Fourth Closet (2018)

6.2 Anthology series

6.2.1 Five Nights at Freddy's: Fazbear Frights #1: Into The Pit (2019)

6.2.2 Five Nights at Freddy's: Fazbear Frights #2: Fetch (2020)

6.2.3 Five Nights at Freddy's: Fazbear Frights #3: 1:35 AM (2020)

6.2.4 Five Nights at Freddy's: Fazbear Frights #4: Step Closer (2020)

6.2.5 Five Nights at Freddy's: Fazbear Frights #5: Bunny Call (2020)

6.2.6 Five Nights at Freddy's: Fazbear Frights #6: Blackbird (2020)

6.2.7 Five Nights at Freddy's: Fazbear Frights #7: The Cliffs (2021)

6.2.8 Five Nights at Freddy's: Fazbear Frights #8: Gumdrop Angel (2021)

6.2.9 Five Nights at Freddy's: Fazbear Frights #9: The Puppet Carver (2021)

6.2.10 Five Nights at Freddy's: Fazbear Frights #10: Friendly Face (2021)

6.2.11 Five Nights at Freddy's: Fazbear Frights #11 (2021)

6.2.12 Five Nights at Freddy's: Fazbear Frights #12 (2021)

Step-by-step explanation:

Im sorry if im wrong-

leroy is calculating the probability of rolling a regualr 6-sided die and flipping a coun. He wants to know the probability if rolling a 4, then landing on heads twice Find P(4 and H and H).

Answers

Answer:

To roll the 4 is 1/6 and landing heads twice is 1/4 and 1/6 x 1/4 and the probability of him doing that would be 0.04166666666% chance

Step-by-step explanation:

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