Find the length and width of a similar rectangular screen if the length is 5 meters more than 6 times its width, and the viewable area is 5,550 square meters.

Answers

Answer 1

Answer:185 m , 60 m

Step-by-step explanation:

Given

Length is 5 m more than 6 times its width

Suppose width is [tex]x[/tex]

So, length is given by [tex]6x+5[/tex]

The area is given by [tex]l\times b[/tex]

Put values of length and width

[tex]\Rightarrow (6x+5)x=5550\\\Rightarrow 6x^2+5x-5550=0\\[/tex]

On solving the quadratic equation, we get [tex]x=30[/tex]

Length is [tex]6\times 30+5=185\ m[/tex]

Width is [tex]x=30\ m[/tex]


Related Questions

a.( 18:32)
b.(6:36)
c.(9:21)



convert the following ratio to fraction in it's lowest from ​

Answers

Answer:

Step-by-step explanation:

18 in every 32 (people or whatever it is) 18/32 then simplify i believe

Ramon paid $3.25 for notepads and $1.80 for markers.
how much of each item did he buy?

notepad cost: $0.65
markers cost: $0.36

Answers

He bought 5 notepads and 5 markers.


Does the graph represent a function?
yes or no

Answers

Answer:

no

Step-by-step explanation:

Find two consecutive even integers who's sum is 34.

Answers

Answer:

Step-by-step explanation:

Let the smaller integer be x

x+x+2 =34

2x+2=34

2x=32

x=16

Smaller even integer = 16

Larger even integer = 16+2 = 18

Answer = 16,18

Can someone plz help me on this plz

Answers

Answer: 1089 (area)

Area of a trapezoid: A=b1+b2(h)/2

Marco’s Pizzeria is having a special: 5 pizzas for $25. What is the unit price?

Answers

The unit price would be $5 per pizza

Answer:

The unit price would be $5 per pizza

Step-by-step explanation:

Finding X in triangle

Answers

Answer:

x is 5 cm as the entire base is 10 cm, so 10/2 = 5

Help me with this!!!!

Answers

Answer:

5 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1 )^2 }[/tex]

with (x₁, y₁ ) = (6, 4) and (x₂, y₂ ) = (3, 8)

d = [tex]\sqrt{(3-6)^2+(8-4)^2}[/tex]

   = [tex]\sqrt{(-3)^2+4^2}[/tex]

   = [tex]\sqrt{9+16}[/tex]

    = [tex]\sqrt{25}[/tex]

    = 5

Answer:

5

Step-by-step explanation:

pleaseee help


The answer choices for number 2 is and the answer choices for number 1 is in the photo

1. Has no relation
2. Is the vertical angle to the corresponding angle
3. Is the corresponding angle
4. Is an alternate exterior angle

Answers

Is an alternate exterior cause the numbers are outside

HELPP QUICK PLSS :’( BEFORE I HAVE A BREAKDOWN NO BITS NO LINKS OR ANSWERS TO GET POINTS I REALLY NEED THE HELP AND CHOOSE MORE THAN ONE PLSS Which of the following equations describes the line shown below? Check all
that apply.
(-4, 10)
(-7,-5)

Answers

Answer:

a, c, d

Step-by-step explanation:

answers are A, C and D

Don't use such phrases here, not cool! It hurts our feelings :(.
what is this i just asked a question and i get this.

Answers

Answer:

true

Step-by-step explanation:

What's the radius of the big cylinder?

Answers

Answer:

I think 56.52

Step-by-step explanation:

To find the radius you'll have to do C=2(3.14)(9)=56.52

Clarissa needs a $2,500 loan in order to buy a car. Which loan option would allow her to pay the least amount of interest?

Answers

Answer:

An 18-month loan with a 4.75% annual simple interest rate

Step-by-step explanation:

I hope this helps u! :D

Answer:

18 months loan and with a 4.75% annual simple interest rate

Step-by-step explanation:

At an ice cream shop, three flavors are increasing in demand. Last year, banana, pumpkin, and rocky road ice cream made up 13% of total ice cream sales. This year, the same three ice creams made up 18.1% of ice cream sales. The percentage of rocky road sales doubled, the percentage of banana sales increased by 50%, and the percentage pumpkin sales increased by 20%. If the rocky road ice cream had one less percent of sales than the banana ice cream, find out the percentage of ice cream sales each individual ice cream made last year

Answers

Answer:

Banana made=3.22

Pumpkin made=7.86

Rocky road ice cream made=1.89

Step-by-step explanation:

From the question we are told that

1st year sales(banana, pumpkin, and rocky road ice cream) [tex]S_1= 13\%[/tex]

2nd year sales:[tex]S_2=18.1\%[/tex]

Rocky road sales doubled

Banana sales increased by 50%

Pumpkin sales increased by 20%

Rocky road ice cream had one less percent then banana

Let

Banana =x

Pumpkin=y

Rocky road ice cream=z

Generally the first year equation is given mathematically as

[tex]x+y+z=13......(1)[/tex]

Generally the second year equation is given mathematically as

100% increase in Rocky road ice cream sales()z i.e double

[tex]2*z=2z[/tex]

50% increase in banana ice cream sales()x

[tex]=>1*0.50=0.5\\=>0.5+1x=1.5x[/tex]

20% increase in pumpkin(y)

[tex]=>1*0.20=0.2\\=>0.2+1x=1.2y[/tex]

Therefore second year equation is given as

[tex]1.5x+1.27y+2z=18.1.....(2)[/tex]

Generally where rocky road ice cream had one less percent of sales than the banana ice cream the equation is given as

[tex]1.5x-2z=1........(3)[/tex]

Therefore combining the three equations

x+y+z=13

1.5x+1.27y+2z=18.1

1.5x-2z=1

matrix form

[tex]\begin {bmatrix}1 & 1& 1 & 13\\1.5 & 1.2 & 2 & 18.1\\1.5 & 0 & -2 & 1\end{bmatrix}[/tex]

Generally the determinant of the first three columns

[tex]\triangle=1.8[/tex]

Solving with Crammers Rule by solving Determinant when;

Column 4 replace column 1

[tex]\triangle_1=5.8[/tex]

Column 4 replace column 2

[tex]\triangle_2=14.15[/tex]

Column 4 replace column 3

[tex]\triangle_3=3.4[/tex]

Therefore x is given my

[tex]x=\frac{\triangle_1}{\triangle}[/tex]

[tex]x=\frac{5.8}{1.8}[/tex]

[tex]x=3.22[/tex]

Therefore y is given my

[tex]y=\frac{\triangle_2}{\triangle}[/tex]

[tex]y=\frac{14.15}{1.8}[/tex]

[tex]y=7.86[/tex]

Therefore z is given my

[tex]z=\frac{\triangle_3}{\triangle}[/tex]

[tex]z=\frac{3.4}{1.8}[/tex]

[tex]z=1.89[/tex]

Therefore

Banana made=3.22

Pumpkin made=7.86

Rocky road ice cream made=1.89


Luke surveyed his friends to see how many minutes it takes each of them to get to school in the moming. The results are in the list below.
6, 11, 14, 4, 8, 8, 10, 9, 14
What is the mean of the data? (Round to the nearest tenth if necessary)

Answers

Answer:

9.3

Step-by-step explanation:

The real answer is 9.33333 but I did as you said and rounded to the nearest tenth.

I got this answer by adding up 6, 11, 14, 4, 8, 8, 10, 9, 14 and I got 84. Then I divided 84 by 9 and got 9.33333.

Sorry if I'm wrong.

Please mark me as Brainliest.

The answer to that question is 9.3

Pleas help! this is very hard!

Answers

Answer:

190

72

36

Step-by-step explanation:

Answer:

190

72

36

hope that helps

Which of the following could be the number shown on the number line?

Answers

Answer:

I believe your answer would be C. square root of 67

Step-by-step explanation:

If 8 is the square root of 64 and the missing number is just over 8, square root of 72 would be too much and A. and D. would be too little. I do deeply apologize if this is incorrect.

question on picture:

Answers

Answer:

Formula for tan is opposite over adjacent, so do arctan of 150/100 to get 56.30993247 :))

Step-by-step explanation:

Answer:

B. 34

Step-by-step explanation:

sohcahtoa

tan x = 100/150

tan x = .667

x = 33.7

find the volume of the prism. write your answer as a decimal.​

Answers

Answer:

161.21

Step-by-step explanation:

-5(m+4)=27? Solve for m.

Answers

Answer:

The answer for M should be 28 because 28 plus 4 is 32 and if you take 5 away from it it will be 27 so M equals 28 ( I hope this helps. )

Please help me find the answer for ABE ASAP plss!!
(Do not put links!!!)

Answers

Answer:

122

Step-by-step explanation:

The first thing to notice is that <EBC and <ABE form a straight line. This means they are a linear pair, also known as complementary. So, when they are added together they will equal 180 degrees. Therefore, to solve, set up and solve the algebraic equation, 180=58+x. When 58 is subtracted from both sides, you are left with x=122.

A restaurant wants to study how well its salads sell. The circle graph shows
the sales over the past few days. If 5 of the salads sold were garden
salads, how many total salads did the restaurant sell?
The restaurant sold salads over the past few days.

Answers

Answer:

20 total salads

Step-by-step explanation:

If garden salads make up 25%, and they sold 5 garden salads, you have to do 5 times 4 because 25% times 4 is 100% of the chart.

Elijah went to the store and bought a pack of note cards for $3.80. If the tax was 7%, how much did he pay for the note cards?

Answers

Answer:

4.066

Step-by-step explanation:

7% of $3.80 = 0.266

Tax = 0.266

0.266 + 3.80 = 4.066

Hope this helps!! Have a great day and remember, you are loved.

14.5 divided bye 9 please

Answers

Answer:

1.61111111

Step-by-step explanation:

calculator

Answer:

1.6111111111.... or 1 11/18

Step-by-step explanation:

Well you just divide

14.5/9

Please help I need to pass this

Answers

Answer:

153 units²

Step-by-step explanation:

Area of a Parallelogram: L x W (same as a rectangle)

L x W = A

17 x 9 = A

A = 153

A 1 11-unit by 3 33-unit rectangle is shown below. 3 3 1 1 What is the area of the shaded rectangle?

Answers

*See attachment for the diagram

Answer:

Area of the shaded rectangle = 1.5 units²

Step-by-step explanation:

Area of a rectangle = Length × Width

The width of the shaded rectangle = ½ of 1 = ½ unit

Length of the shaded rectangle = 3 units

Therefore,

Area of the shaded rectangle = 3 × ½ = 1.5 units²

Answer:

1.5 units (I think )

Step-by-step explanation:

Can someone please help me out with this. I need this done by tomorrow. :(

Answers

Answer:

i got u its UMMMMMMMMMMMMMMMMMMMMM nvm

Step-by-step explanation:

Just multiply and you’ll get the answer

help please i’ll really appreciate it

Answers

Answer: I believe its 64 cubic in

Step-by-step explanation:

Please help:(( no links please!!

The quadrilateral CONR on the coordinate plane has the following characteristics

The equations are in the photo

Answers

Answer:

A :

B : Trapezius!

............

40 points. Factor the following polynomial.

49y2 – x2
A.
(7y – x)(7y + x)
B.
(7y + x)2
C.
(7y – x)2
D.
does not factor

Answers

Answer:

A

Step-by-step explanation:

49y² - x² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

49y² - x²

= (7y)² - x²

= (7y - x )(7y + x) → A

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