Arectangle has a width that is 8 centimeters less than its length. The perimeter of the rectangle is 56 centimeters. Find both the width and length of the rectangle. Show your work.

Answers

Answer 1

Answer:

L=18cm

W=10cm

Step-by-step explanation:

Given data

let the length be x

L=x

Width= x-8

W= x-8

Perimeter= 56cm

But we know that the perimeter is expressed as

P=2L+2W

substitute our data

56=2(x)+2(x-8)

56=2x+2x-16

56+16=4x

72=4x

divide both sides by 4

x= 72/4

x=18cm

Hence the Length is 18cm

L=18cm

The width= 18-8

W=10cm


Related Questions

The functions f(x) and g(x) are shown on the graph. f(x) = |x|

what is g(x)

Answers

Answer:

D

Step-by-step explanation:

Answer:

i just took it. its actually g(x)=|x+5|

Step-by-step explanation:

Work out the reciprocal of 0.125

Answers

Answer:

The right answer is 8 hope I helped

f(x)= -x^2, Find f(3)

Answers

Let x = 3

f(3) = -(3)^2

f(3) = -(9)

f(3) = -9

Consider the function represented by the graph. What is the domain of this function?
A. {x|x=>0}
B. {x|x<=8}
C. {x|0<=x<=8}
D. {x|x<=0x=>8}

Answers

Answer:

I think it is B but i'm not 100% sure.

Step-by-step explanation:

plz help i need some one to check if this is right :(

Answers

Answer: No, it's not. x should be 121

Step-by-step explanation:

Answer:

No it is 121

Step-by-step explanation:

22+37= 59

all angles add up to 180 degrees

180-59=121 degrees

is y+7=2x a direct variation

Answers

Answer:

No, y+7=2x does not represent direct variation

Step-by-step explanation:

No, y+7=2x does not represent direct variation, because of the constant (initial value) 7.

y = 2x represents direct variation; y = 2x - 7 does not.

Given the system of equations, what is the solution? x + 2y = 11 x - 2y = -1 o(-5, -3)} O [(1,1)] O [(5.3)]​

Answers

Answer:

2.2 results in a true equation, 2.2 is a solution to the equation.

Step-by-step explanation:

Step 1. Substitute the number for the variable in the equation.

Step 2. Simplify the expressions on both sides of the equation.

Step 3. Determine whether the resulting equation is true.

If so, the number is a solution.

If not, the number is not a solution.

This is the full question if you can please solve this it’s really important.
A machine cuts three circles of the same size from a rectangular sheet of
metal as shown.

Answers

Answer:

[tex]\huge\boxed{\sf 11.74\ in.\²}[/tex]

Step-by-step explanation:

Area of Rectangle:

Length = 11.8 in.

Width = 3.6 in.

Area = Length * Width

Area = 11.8 * 3.6

Area = 42.48 in.²

Area of 3 circles:

Diameter = 3.6 in.

Radius = D/2 = 3.6/2 = 1.8 in.

[tex]\sf Area = \pi r^2\\\\Area = (3.14)(1.8)^2\\\\Area = (3.14)(3.24)\\\\Area = 10.18\ in.^2[/tex]

Area of 3 circles = 3(10.18) = 30.5 in.²

Area of the figure when the 3 circles are cut:

= Area of the rectangle - Area of 3 circles

= 42.28 - 30.5

= 11.74 in.²

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Allen wants to have a mean of 90 on his math quizzes. So far, he has scored 86, 94, 88, 95, and 89. What is the least score that Allen needs on his next quiz to have a mean of 90?

Answers

Answer:

88

Step-by-step explanation:

[tex] \frac{86 + 94 + 88 + 95 + 89 + x}{6} = 90[/tex]

The mean would be the sum of all the math quiz grades divided by the number of quizzes taken.

Solve for x:

[tex]86 + 94 + 88 + 95 + 89 + x = 540[/tex]

[tex]452 + x = 540[/tex]

[tex]x = 88[/tex]

Thus, Allen needs at least an 88 to obtain a mean of at least 90.

HELP!!,I WILL GIVE BRAINLIEST!!!

Answers

Answer:

your answer will be Option A

Step-by-step explanation:

hope it helps

Write ratios for sin C, cos C, and tan C

Answers

Answer:

sin c - 25/7

cos c - 7/24

tan c - 25/24

Step-by-step explanation:

The equation of a circle is x^2 + y^2 = 56.25

Answers

Answer:

Step-by-step explanation:

General equation of circle with center at (0, 0) : x² + y² = r²

x² + y² = 56.25

x² + y² = 7.5²

Radius = 7.5 units

Center (0 , 0)

Helloooo what yeaaa

Can yu guys help me out

Answers

Answer:

they are already answered

Step-by-step explanation:

Right?

ANDWER CHOICES:

14cm
20cm
8cm
6cm

I NED HELP ASAP!!!!

Answers

20 cm is the answer to the question

whats 2 other ways to write this equation:
40 = 19+7x

Answers

Answer:

1: 7x+19=40

2: 19+7x=40

Step-by-step explanation:

A giraffe is 5 meters 20 centimeters tall. An elephant is 1 meter 77 centimeters shorter than the giraffe. A rhinoceros is 1 meter 58 centimeters shorter than the elephant. How tall is the rhinoceros?

Answers

Answer:1 meter and 58 centimeters

You make $52,000 a year. Your state income tax rate is 2.5%. The state income tax allowance is $1500 per person and you have three allowances. They are yourself, your spouse and one child. How much income tax do you owe?​

Answers

Answer:

1,187.50

Step-by-step explanation:

Answer:

Step-by-step expiation

we know that their is an income tax rate of 2.5%, Since their is more than one person within the household, we will multiple the tax rate by 3

2.5% = 0.025

0.025 x 3 = 0.075

Then we will multiple the tax rate by our principal,

52,000 x 0.075 = 3,900

52,000 - 3,900 = 48,100

This will then give us our answer of $3,900 for the income tax rate that is owed, and as well as their new total income.

Can someone plzzzz help meeee!!!!!

Answers

Answer:

1. Interpret (L): To explain or to give meaning to.

2. Variable: (F) Something that can change or influence the results of an experiment.

3. Observe (I): To notice what occurs during an experiment.

4. Questions (B): The inquiry or problem relating to a topic that can be answered by conducting an experiment.

5. Scientific Method (A): A method of doing research that includes the steps of identifying a problem, gathering data, forming a hypothesis, testing a hypothesis, and drawing a conclusion.

6. Ethical (E): Following the rules of being being fair and honest.

7. Hypothesis (G): An educated guess or reasonable assumption.

8. Research (D): To conduct an investigation into current information about something.

9. Experiment (C): A test or trial performed in order  to discover something.

10.  Conclusion (K): The result or outcome of something.

11. Procedure (H): A sequence of steps involved in performing an experiment.

If this helps, please consider giving a thanks, a good rating, and Brainliest! Thanks!

alex works for his father assembling clock motors he is paid a piecework rate of $8.50 per motor. this week he assembled 21 motors

Answers

Answer: $178.50

Step-by-step explanation:

If Alex is paid a piecework rate of $8.50 per motor, then;

Price per motor assembly = $8.50

By assembling 21 motors Alex gets,

1 motor = $8.50

21 motors = (21 * $8.50) / 1

= $178.50 / 1

= $178.50

By assembling 21 motors,

Alex gets $178.50

Of the males surveyed, what proportion selected small T-Shirt size

Answers

Answer:

this question doesn't make sense

PLSS HELP ME ASAP I WILL EVEN GIVE U BRAINLYEST BUT PLAA HELP ME!!

Is the probability of red a simple event, complement of a
simple event, or neither?
A. complement of a simple event
B. nelther
C. simple event

Answers

Answer:

Complement of an Event: All outcomes that are NOT the event. So the Complement of an event is all the other outcomes (not the ones we want). And together the Event and its Complement make all possible outcomes.

1. "-4 less than a number is 17."​

Answers

Answer:

yes

Step-by-step explanation:

A pendulum's first swing has an arc of 36 inches. As the pendulum swings back and forth, the arc length for each successive swing is 95% of the previous swing. If this pattern continues, at which swing of the pendulum will the length of the arc be less than 27 inches? A. 5th B. 6th C. 7th D. 9th

Answers

Answer:

7th

Step-by-step explanation:

Given :

Arc length on first swing = 36 inches

After successive swing, arc length decreases by 95%

Length on 2nd swing = 0.95 * 36 = 34.2

Length on 3rd swing = 0.95 * 34.2 = 32. 49

Length on 4th swing = 0.95 * 32.49 = 30.8085

Length on 5th swing = 0.95 * 30.8085 = 29.268075

Length on 6th swing = 0.95 * 29.268075 = 27.80467125

Length on 7th swing = 0.95 * 27.80467125 = 26.4144376875

26.4144376875 < 27

Hence, length falls below 27 on 7th swing

Can someone tell me how to do this? This is so confusing to me.

Answers

Answer:

A. Rate of Change: 25/1

B. Initial Value: 100

C. Y=25x+100

D. After 6 months the cost is 250$

E. 475=25x+100

475=25x+100

375=25x

x=15

So E. is 15 months

Step-by-step explanation:

The question and information is on the photo pls if you can give me the work to.

Answers

Answer:

SI = 2052.61 ft

Step-by-step explanation:

cos 13 = 2000/SI

0.9744 = 2000/SI

multiply both sides by SI:

(SI)(0.9744) = 2000

divide both sides by 0.9744:

SI = 2052.61 ft

If you were to roll a standard six sided die, what is the probability of rolling a number less than what three other people rolled?

Answers

0.3333
I assume you mean on a 6-sided die? If so, there are two numbers less than 3: 1 and 2. There are 6 total possible results, so the probability of rolling a number less than 3 is 26 or 13 or 0.3333 .

Data that's displayed randomly on a scatter plot graph illustrates (please help asap!)

positive correlation.

negative correlation.

none of these.

no correlation.

Answers

No correlation = scattered randomly on a pilot graph

HELPPP PLEASEE!!!DONT ANSWER IF YOU DONT KNOW!!

Answers

Answer:

-4

Step-by-step explanation:

A cylinder has a radius of 5 inches and height of 20 inches.which is the surface area of the cylinder?
1. 1187 square inches
2. 517 square inches
3. 3077 square inches
4. 785 square inches

Answers

Answer:

4

Step-by-step explanation:

use the formula to get the answer but i got 785.71.

The probability distribution for a random variable x is given in the table Find the probability that X<=20

Answers

probability for X<=20 is 1

what is probability?

the probability is the department of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The chance of an event is a number between 0 and 1, in which, roughly speaking, zero indicates the impossibility of the event and 1 shows certainty.

probability = the number of ways of attaining success. the total number of possible results. For instance, the chance of flipping a coin and its being heads is ½, due to the fact there may be 1 way of getting a head and the total number of possible outcomes is two (a head or tail).

Learn more about probability here

https://brainly.com/question/24756209

#SPJ2

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