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

generate a frequency table for the following data: 3, 12, 25, 2, 3, 6, 17, 17, 15, 13, 20, 12, 21, 18, 19

what value should be placed in the second column for the range 6-10?
a. 2
b. 3
c. 5
d. 1

Answers

Answer:

D: 1

Step-by-step explanation:

There's only one number there between 6-10.

0.69 is an integer true or false

Help I have no idea what to do

Answers

Answer:

false

Step-by-step explanation:

An integer is a whole number and 0.69 is not a whole number.

I need help showing work

Answers

Answer:

yawa ka ah diyan module tae yan hahaha

don't know sorry mate

The equation of a line is y = 12x - 3. Write the equation of a line parallel to this line.

Answers

Answer:

y=12x+3

Step-by-step explanation:

when parallel the slopes need to be the same but the y-intercept has to change

a) work out the size of angle x.

b) give reasons for your answer.

Answers

Answer:

x=30

Step-by-step explanation:

105 is also the same as angle b which is also the same as the angle opposite.

so

150+150=300

360-300=60

60/2=30

hope that helps.

plz mark as brainliest if correct

thank you

Answer:

x=75°

Step-by-step explanation:

the angle that is 105° and the angle that is x makes a co interior angle.

the two angles belonging to that co interior angle will always add up to 180°.

so in this case, 180° - 105° = x

answer = x=75°

If (x +4) + (y - 3) = -1 -i, what are the values of x and y?

Answers

Answer:

x=y-2

y=x-2

Step-by-step explanation:

PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:dunno

Step-by-step explanation:

It’s c I think…………….. had to make this 20 characters

which term of the a.p 24, 21,, 18, ................. is the second negative term ?

Answers

Answer: -6

Step-by-step explanation:

It's going by 3s so the second negative number would follow as this:

24, 21, 18, 15, 12, 9, 6, 3, 0, -3, -6

Maurice spent $12.00 of the $25.00 on a gift card. Which decimal represents the fraction the $25.00 Maurice spent?

Answers

Answer:

0.60

Step-by-step explanation:

25/2 = 12.5 wich means that it can't be 0.50 or lower so it has to be 0.60

Triangle 1 is composed of line segments AB, BC, and CA.
Triangle 2 is composed of line segments DE, EF, and FD.
The triangles are similar with a scale of 5:2.

Select the true statement about the proportions of the sides.

Answers

Answer:

Screenshot

Step-by-step explanation:

Given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:

B. AC/DF = 5/2

What are Similar Triangles?Similar triangles have corresponding side lengths that are proportional in length.Similar triangles have same shape but are of different sizes.

Thus, given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:

B. AC/DF = 5/2

Learn more about similar triangles on:

https://brainly.com/question/2644832

Plz help me do this

Answers

Answer:

the rise is 6 and the run is 4

Answer:

The rise is 6 and the run is 4

Help me:) please and thanks

Answers

Answer:

The number is A 0.43

hoped that helped

Can i have help with these two problems.

Answers

Answer:

(11/7)x + (3/7)y

Step-by-step explanation:

Perform the indicated multiiplication.  We get:

(6/7)x - (2/5)y + (5/7)y + (5/7)x

Now combine like terms, obtaining:      (11/7)x + (3/7)y

An alternative expression would be (1/7)(11x + 3y)

what is the answer for 4x<-28

Answers

Answer:

  x < -7

Step-by-step explanation:

Divide both sides of the equation by the coefficient of x.

  (4x)/4 < (-28)/4

  x < -7

Answer:

x<-7

Step-by-step explanation:

what is the slope of the line that goes through 11,2 and 14,16

Answers

Step-by-step explanation:

m = y2-y1/x2-x1

m = 16 - 2/ 14 - 11

m = 14/3

m = 14 / 3

Hope it helps.

Sixty-seven percent of 237 people own
their homes. About how many people
own their homes?

Answers

Answer:

about 159 people own their homes

(158.79)

Step-by-step explanation:

When you want to find the percentage of a number, multiply that number by the percentage's decimal

example: 20% of 300

20%=20/100=0.20

300×0.20=60

Your welcome!

if you can, please mark brainliest :)

i need HELLPPPPPPP PLEASEEE

Answers

Answer:

B

Step-by-step explanation:

thats the only one that can go on a number  line correctly, plz mark me brainiest

What is the slope of the line2y+x=-3. Write your answer in simplest form.

Answers

Answer:

x+2y=-3

Step-by-step explanation:

Pleaseeeeee help! I don’t understand and I just wanna go to sleep but this is due in 35 minutes

Answers

Answer:

69

Step-by-step explanation:

it is 69 becuase 4x-7+11x-8 equals 69

We have: 2.(4x - 7)° + 2(11x - 8)° = 360°

So: 8x - 14 + 22x - 16 = 360°

<=> 30x - 30 = 360°

<=> 30(x - 1) = 360°

<=> x - 1 = 12

<=> x = 13°

We know: ∠G = ∠F = (11x - 8)° = ( 11.13-8)° = 135°

The answer: ∠G = 135°

Ok done. Thank to me :>

d/−7 ≤ −6 pls help :)

Answers

Answer:

D > -42

Step-by-step explanation:

Calculate the measure of the major arc MPN.

Answers

Answer:

  310°

Step-by-step explanation:

The sum of arcs around a circle is 360°.

  MPN +MN = 360°

  MPN = 360° -MN . . . . . . . . subtract MN

  MPN = 360° -50° = 310° . . . fill in the given value

The measure of major arc MPN is 310°.

Madelynn makes the following statement: "Since I have 28 people that I defi-
nitely want to invite to my party, I might as well choose Party B and invite even
more people."
Was Madelynn correct to go with Party B and invite more people? Explain why or
why not.

Answers

Answer:

The only problem was that now it costs more so not really

Step-by-step explanation:

I think its an opinion question

Use your scientific calculator to calculate the value of the following:3.5934×4.294Give your answer in decimal form and write all the digits on your calculator display.

Answers

Answer:

15.4300596

Step-by-step explanation:

Which of the following does an appropriately cautious reading of a receipt entail? I. Making sure that the items charged are the same as the items received. II. Asking for a second copy for your records. III. Checking to see if all of the discounts were applied properly. A. I only b. II and III c. I and III d. I, II, and III.

Answers

An appropriate cautious reading of a receipt entail making sure that the

items charged are the same as the items received and checking to see if all

of the discounts were applied properly,

When an item is bought, a receipt is usually issued which confirms that

payment has been made for the goods or services. Receipt however should

be properly checked to detect any error in the course of the transaction.

Making sure that the items charged are the same as the items received and

checking to see if all of the discounts were applied properly should be done

to avoid shortages of the resources of the parties involved.

Read more on https://brainly.com/question/25539176

Answer:

c

Step-by-step explanation:

Solve for a, round your answer to the nearest hundredth:-3(a + 9) - 5(a - 5) = 8

Answers

Answer:

22

Step-by-step explanation:

3(a+9)-5(a-5)=8

3a+27-5a+25=8

3a-5a+27+25=8

-2a+52=8

-2a=8-52

-2a=-44

a=-44/-2

a=+22

No links or files. I will have to report answers that contain files. Please provide a short explanation if you can.

Answers

Answer:

BCA is half of that of BCD. BCD is ~90 degrees, and BCA is ~45 degrees.

(~ meaning about)

Hope that helps

If today is Saturday, what day will it be 70 days from now?

Answers

Answer:

If today is Saturday, then after 70 days, we will be on a Saturday again.

Step-by-step explanation:

Basically, 70 days = 10 weeks

Which means: 1 week = 7 days

We also know that if we are on a Saturday, then after a week, we will be on a Saturday again. Therefore, if we are on a Saturday, after 10 weeks or 70 days, we will be on a Saturday again.

Hoped this helped.

solve pls brainliest



Marcus has picture with the dimensions of 3 ft wide and 5 ft long. He would like to change the picture using a scale factor of 1/2. What are the new dimensions for the picture and is the new picture a reduction or enlargement. Explain how you know. *

Answers

Answer:

Reduction: new dimensios are 1.5ft x 2.5ft

Step-by-step explanation:

Since he is using a scale factor of 1/2, we merely multiply everything by 1/2

3 ft * 1/2 = 1.5 ft

5 ft * 1/2 = 2.5 ft

It is obviously a reduction first since the scale factor is less than one, but you can also see that the dimensions decreased.

Answer:

The new dimensions are 1.5 ft wide and 2.5 ft long. The picture would be a reduction.

Step-by-step explanation:

Since the scale factor is less than 1 we know that the dimensions are smaller than the original. So we multiply 3 and 5 by 0.5. We get the new dimensions of 1.5ft wide by 2.5 ft long. Knowing this information we can conclude that the new picture is a reduction.

ABCD has vertices A(4, 0), B(0, 4), C(–4, 0), and D(0, –4). Determine whether ABCD is a rectangle, rhombus, or square. List all that apply.

Answers

Step-by-step explanation:

let's consider BA and CD as one pair of sides, and CB and DA as the second pair of sides.

the slope BA = -1

as x changes +4 (from 0 to 4), and y changes -4 (from 4 to 0).

the slope of CD = -1

as x changes +4 (from -4 to 0) and y changes -4 (from 0 to -4).

so, both lines are indeed parallel.

the slope CB = +1

as x changes +4 (from -4 to 0) and y changes +4 (from 0 to 4)

the slope of DA = +1

as x changes +4 (from 0 to 4) and y changes +4 (from -4 to 0)

so, these 2 lines are also parallel to each other and perpendicular to the first 2 lines (x and y in the slope ratio upside-down, and the sign is flipped).

therefore, we have only 90° angles here.

and the sums of the x and y coordinate differences are the same for every side, so all sides are equally long.

therefore, this is a square.

and with that it is automatically also a rectangle and a rhombus.

The perimeter of the figure below is:
10
7
A. 35
B. 53
C. 56
D. 48
E. 36

Answers

The answer would probably be 36
Other Questions
HELP ME WITH THIS TWO PROBLEMS1. When I add 6 to five times my number I get 36. My mystery number is ....2. When I add 7 to three times my number I get 43. My mystery number is.... pleeease help!!!!!.... what is all the words you can make from sellix(ALL THE WORDS)PRIZE AT THE END Use the story below fill I the questions. A) Origin and developmentB) EarthC) LifeD) Early technologies no links or downloads pls I need help asap!!Triangle 1 is composed of line segments AB, BC, and CA.Triangle 2 is composed of line segments DE, EF, and FD.The triangles are similar with a scale of 5:2.Select the true statement about the proportions of the sides. factorise this (x-6)(x+2) Choose the correct answer to 1,889 36.52 R1751 R5352 R1542 R17 what is the meaning of the word filament PLEASE HELP ME RNNNNN!!!!!! I NEED THE ANSWERS I really need help dont answer if your not giving the correct answer and its explanation!!!! Gidgits Galore's chimney stacks emit significant amounts of smoke into the air, and residents have complained about the poor air quality since the factory began operating. Janey Clancey lives within mile of the Gidgits Galore factory. She contacted the Environmental Protection Agency (EPA) many times about the smoke spewing from Gidgits Galore's chimneys and the agency has continually disregarded her complaints (and also those of several neighbors) and taken no action. Janey can bring suit against the EPA.TrueFalse Relationships with family, friends and colleagues have which of the following in common?a.They all provide us with a way to explore our self-concept .b.They all give us comfort in times of hardship.c.They require us to be effective communicatorsd.None of the abovePlease select the best answer from the choices providedABCD [tex] \huge \rm question [/tex]Calculus proof of second equation of motion ~ Which company do you work for? Calculate the number of different words that can be obtained by rearranging the letters of the word trust. Ellie has an old chest of drawers that she wants to refurbish to match her coastal-style bedroom. What would be the BEST thing for Ellie to do tomake it fit with her coastal style? can someone help me on this question Select True or False to correctly classify each inequality.Inequality True False2.62.6 true or false 63.1 true or false5--5 true or false The price of an item has risen to $136 today. Yesterday it was $80. Find the percentage increase. Write the names of the eight planets in our solar system in order starting with the planet whos orbit is the most elliptical the planet whos orbit is most round?