A movie screen has an area of 162 square meters and a perimeter of 54 meters. What are the dimensions of the screen?

____meters by ___ meters

Answers

Answer 1

Answer:

18 meters by 9 meters (or 9 meters by 18 meters)

Step-by-step explanation:

lets say the dimensions are x and y. we have x*y=162, and 2x+2y=54. from the second equation we have x+y=27 so y=27-x. plug this into the first equation to get x(27-x)=162 or -x^2 + 27x = 162. x^2 - 27x + 162 = 0. simplify to get (x-18)(x-9)=0. so x=18 or x=9. when x=18, y=9, when x=9, y=18 so the dimensions are 18 by 9 meters


Related Questions

Can someone help? This is hard

Answers

CT=90°

BTA=90°

x=29

CT=37

TA=20

CA=57

Step-by-step explanation:

they say BT is an altitude ( or height) . Altitudes are perpendicular meaning that:

BTC =90°

BTA=90°

Therefore:

(3x+3)°=90°

3x=90-3

3x=87°

x=29

CT:

x+8

=29+8

=37

TA:

x-9

=29-9

=20

CA:

=CT+TA

=37+20

=57

which one? A, B, C or D?​

Answers

Step-by-step explanation:

you can't find that out ?

either simplify the expressions and then insert the values for x, or simply insert the values for x and see.

6 - 5x < 27 + 5x < x + 35

6 < 27 + 10x < 6x + 35

-21 < 10x < 6x + 8

it is then

-21 < 10x

-2.1 < x

and

10x < 6x + 8

4x < 8

x < 2

-2.1 < x < 2

therefore, B is the right answer.

-2, -1, 0, 1

-3 would be too small, and 2 is blocked by the right "<" sign.

I need help, the solid below is made from cubes find it volume

Answers

Answer:

[tex][tex]\purple{\rule{45pt}{7pt}}\purple{\rule{45pt}{999999pt}}[tex][/tex]

Answer:

40cm

Step-by-step explanation:

Volume is LxWxH. The length is 2cm, the width is 5cm, and the height is 4cm, you can find these values by counting each block as a cm. Then you multiply all the values, (2x4x5) and you get 40.

If it takes 5 gallons of gas to drive 102 miles, how many miles can be driven using 7 gallons of gas?

Answers

Answer:

142.8

Step-by-step explanation:

You can go 20.4 miles per gallon of gas.

You can go 142.8 miles for 7 gallons.

5 more than 3
meaning what number ?

Answers

Answer:

8

Step-by-step explanation:

5+3=8

3 plus 5 more makes 8

Answer is 8

Explanation:
5+3=8
And the other way around

If 1=3

2=3

3=5

4=4

4=4

Then, 6=?
[tex] \: \: \: [/tex]

Answers

Answer:

6 = 3

If u write 1 in word then u will write one and if you count the letter it will give u 3 .

Similarly if u write the number 2,3,4,5 in word and count the number you will get 3,5,4,4 respectively .

So ,If u write 6 in a word you will write six and on counting the letter you will get 3 .

Hence ,

6 = 3

What are the terms in the expression 2d+7+5f

Answers

Answer:

3 terms 2d,7 and 5f

Step-by-step explanation:

Answer:

The answer would be 2d 7 5f hope this helps

Step-by-step explanation:

what is the square root of negative 1 divided by 8

Answers

Answer:

if you mean [tex]\frac{\sqrt{-1} }{8}[/tex] then the answer[tex](1/8)i[/tex]

and if you mean:[tex]\sqrt{\frac{-1}{8}}[/tex] then the answer is[tex]\frac{i\sqrt{2} }{4}[/tex]

Hence, the answer value of [tex]\sqrt\frac{-1}{8}[/tex] is [tex]i\frac{\sqrt2}{4}[/tex].

What is the fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts

As per the given information

i.e.,

[tex]\sqrt\frac{-1}{8}=i\frac{\sqrt2}{4}[/tex]

Hence, the answer value of [tex]\sqrt\frac{-1}{8}[/tex] is [tex]i\frac{\sqrt2}{4}[/tex].

To know more about the fraction

https://brainly.com/question/5431264

#SPJ2

Please help me (It's for a really important grade)

Answers

Answer:

4/5

Step-by-step explanation:

Sin = Opposite / Hypotenuse

Note that hypotenuse = longest side

We want to find sinФ

The opposite side length of angle "Ф" has a length of 8 and the longest side or hypotenuse has a length of 10

So sinФ would equal 8/10 which can be simplified to 4/5

I forgot this within 2 seconds ;-;

Answers

Answer:

12÷4+13>2+22÷2

Step-by-step explanation:

12÷4=3+13=16

2+22=24÷2=12

the points (2,4) and (6,7) lie on a line. what is the slope of the line?

Answers

I have a feeling your answer is:
m = 3/4
Sorry if it’s not right

68.1 x 0.8
help me please or im gonna fail :(

Answers

Answer: 54.48

Just copy n paste

A sale of wedding gowns is marked at £168, which includes a reduction of 25%. What was the pre-sale price?

ASAP NOW!

Answers

The pre-sale price of the wedding gown is £224.

A reduction decreases the price of an item. As a result of the reduction, the wedding gown would be sold cheaper. The wedding gown would cost  pay 75%(100 - 25%) of the pre-sale price.

This equation can be used to determine the pre-sale price of the wedding gown:  discounted price / 75%

£168  / 0.75 = $224

To learn more about how to determine the price of an item, please check: brainly.com/question/25717996

Please help me with the math below

Answers

Answer:

A. $4.25 per 1 kg of spice

B. 60 : 40 = 3 : 2

Step-by-step explanation:

200 g = 0.2 kg (÷100)

unit price formula: cost ÷ quantity

0.85 ÷ 0.2 = 4.25

set a proportion;

60 3

---- = ---

x 2

3÷60 = 0.05 2

2 ÷ 0.05 = 40

x = 40

hope this helps!

help QUICK PLS 12 POINTS JUST PLS

Answers

Answer:

The answer is 8.025.

Hope that helps. x

Yup, the guy above me is correct.

6x7 is what i dont know what it is

Answers

Answer:

it's 42

Step-by-step explanation:

6 7's

6 12 28 24 30 36 42

Find the value of the unknown value in the following equation
14x + 9 =79

PLZ HELP

Answers

Answer:

x = 5

Step-by-step explanation:

If I understood correctly, you are looking for x. you bring over the 9, which you subtract and are left with 14x=70. Then divide both sides by 14 and you get x=5. Also I'd recommend getting the Symbolab app.

Answer 1 question. Thanks

Answers

the slope of the line is -3 :))

A student finds the minimum value of the function
f
(
x
)
=
x
2

18
x
+
85
by completing the square. What is the minimum value of the function?


85

85

4

4


9

− − 9


18

Answers

Its not possible to find the answer

I need help with this question

Answers

Answer:

30.75 hours.

hope it helps, so may i have my brainliest?

Step-by-step explanation:

20.5 * 1.5 = 30.75

Pls help brainiest to the correct answer!

Answers

Answer:

a) 9, b) 87, c) - 2, d) - 9

Step-by-step explanation:

a) - 2 * (- 4.5) = 9b) (- 8.7) * (- 10) = 87c) (- 7) * (-2) = 14d) (- 9) * (- 10) = 90

#a

[tex]\\ \sf{:}\dashrightarrow -2(-4.5)=9.0[/tex]

#b

[tex]\\ \sf{:}\dashrightarrow (-8.7)(-10)=8.7[/tex]

#c

[tex]\\ \sf{:}\dashrightarrow (-7)(-2)=14[/tex]

#d

[tex]\\ \sf{:}\dashrightarrow (-9)(-10)=90[/tex]

3. What percent of 150 is 15?
unknown:
Known:. ​

Answers

Answer:

Step-by-step explanation:

10 percent I believe you just divide 150 by 15! sorry if this is wrong

what is 2X ( 3)+( 1)+( 2)+=

Answers

Step-by-step explanation:

work out the brackets first

help pls please hmmmm​

Answers

Ok done. Thank to me :>

4/3=8/x-1
Solve the equations

Answers

Answer:

= 24/7

Step-by-step explanation:

1. Find common denominator

2. Combine fractions with common denominator

3. Re-order terms so constants are on the left

Which of the following is a government retirement program that offers a tax incentive?
A. Roth IRA
B. Opt- out program
C. A 529 plan
D. Contribution matching

Answers

the correct answer is B!

can someone pllsss help :((
What is the area?

7 square feet
11 square feet
9 square feet

Answers

Answer:

7 square feet

Step-by-step explanation:

There are seven squares, one is 1 square foot

7x1=7

2. You have 7 folders and you want to put the same number of pages in each folder.
a. If you have a total of p pages, how many pages will be in each folder?
b. Evaluate your expression to calculate the number of pages in each folder if you have 147 pages or
245 pages.

Answers

Answer:

  a. p/7

  b. 21; 35

Step-by-step explanation:

To find the number of pages in each folder, divide the number of pages by the number of folders.

a. There will be p/7 pages in each folder.

b. 147 pages will result in 147/7 = 21 pages in each folder

  245 pages will result in 245/7 = 35 pages in each folder

Which ordered pair is a solution to the line whose equation is 2y=-3x-2
A.(2, -3) C. (2, -4)
B. (-3, 2) D. (-4, 2)

Answers

Answer:

The solution would be C. (2, -4)

Step-by-step explanation:  Equation: 2y = -3x - 2

1. (2, -3)

  2(-3) = -3(2) - 2

  -6 = -6 - 2

  -6 = -8   (Not a solution)

2. (-3, 2)

   2(2) = -3(-3) - 2

   4 = 9 - 2

   4 = 7   (Not a solution)

3. (2, -4)

   2(-4) = -3(2) - 2

   -8 = -6 - 2

   -8 = -8   (Solution)

4. (-4, 2)

   2(2) = -4(-4) - 2

   4 = 12 - 2

   4 = 10   (Not a solution)

need help dont want to fail

Answers

Answer:

I think the correct answer is D since the arrows go infinite ways. Let me know if im right. :)

Step-by-step explanation:

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