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

A triangular prism is 19 yards long and has a triangular face with a base of 18 yards and a height of 12 yards. The other two sides of the triangle are each 15 yards. What is the surface area of the triangular prism?

Answers

Answer:

1128 Yard²

Step-by-step explanation:

From the question,

The surface area of a triangular prism is

A = bh+H(a+b+c)...................... Equation 1

Where a = First side of the triangular face, b = base of the triangular face, c = the other side of the triangular face, H = heigth of the prism, h = height of the triangular face

Given: a = 15 yard, b = 18 yards, c = 15 yards, h = 12 yards, H = 19 yards.

Substitute these values into equation 1

A = (18×12)+ 19(15+15+18)

A = 216+19(48)

A = 216+912

A = 1128 Yard²

Hence the surface area of the triangular prism is 1128 yard²

Tell whether the angles are complementary or supplementary. Then find the value of x.

Answers

Answer:

complementary x=5

Step-by-step explanation:


A chess club has 24 members, of which 1 is a male and the rest are females.
What is the ratio of males to all club members?

Answers

Answer:

1:24

Step-by-step explanation:

hope this helped

A system of equations is graphed below.
How many solutions does this system of equations have?

A.one solution
B.two solution
C.no solution
D.infinitely many solution

Answers

i think the answer is infinitely many solutions

i am not sure tho

hope it helps

PLEASE HELP !!! ILL GIVE BRAINLESS

Answers

Answer:

a. ∠G = 180 - (90 + 32)

b. ∠G = 58°

c. ∠J = 180 - 58°

d. ∠J = 122°

Step-by-step explanation:

Angles are added to result in 180°

when the line is straight; thus:

a.

∠G = 180 - (90 + 32)

b.

∠G = 180 - 122

∠G = 58°

c.

∠J = 180 - 58°

d.

∠J = 122°

_____________________

#IndonesianPride - kexcvi

Compañeros de pintas gratis ... disfruta: D

Answers

Answer

THank you

Step-by-step explanation:

Answer:

gracias amigo

Step-by-step explanation:

ten un buen fin de semana se te aprecia se te aprecia

Given that cos 27° = 0.891, enter the sine of a complementary angle.
sin

Answers

9514 1404 393

Answer:

  sin(63°) = 0.891

Step-by-step explanation:

The cosine of an angle is the sine of its complement. The angle with a sine of 0.891 is 90° -27° = 63°.

   sin(63°) = 0.891

what is the cosine of 210 degrees

Answers

Answer:

-0.86602540378  is the decimal form

and the exact form is − √ 3/2  

HELP ASAP!!!!!!! PLEASEEEEE

Answers

Answer:

B

Step-by-step explanation:

This asks for data from multiple people, and it not just a yes or no question

B the answer is b your welcome

Please help someone, give me correct answer to these 2 problems.

I will mark you brainliest for the correct answer.

Please help!!!!!

I need the answer to both pictures!!!!!!!

Answers

Answer:

60° 60° 60°

60°

Step-by-step explanation:

In any triangle, the sum of its interior angles is 180°, and 60+60+60=180.

As for the other question, we can see that angle5=angle1, and angle6=angle2, due to the parallelism of the lines.

Angle5+angle6=180°, therefore

Angle6=180-120=60°=angle2

What is this anyone ???

Answers

Answer:

7.2x10^13

Step-by-step explanation:

in thier last game the schook football team scored an equal numbwr of points in each of the first 3 quaters then 14 in the fouth quater if the scored 44 points in the in all how many points did they score for the first quater​

Answers

Answer:

they scored 10 in the first quarter

Step-by-step explanation:

44-14=30

30 divided by 3 = 10

(i got divided by 3 because its 3 quarters and i have to figure out the amount for 1 quarter)

Simplify the following expression 5(5c+1)
Step by step explanation

Answers

Answer:

25c+5

Step-by-step explanation:

Multiply 5 with every term inside the bracket, so 25c+5

The area of a rectangular parking lot is 5460²m.. If the length of the parking lot is 84, what is its width?

Answers

Answer: The width is 65.

Step-by-step explanation:

84 x 65 = 5460. I got 65 by spamming random numbers in the calculator until I got my answer.

Here are the questions and answers. Please help!

Answers

B - it moved right 1 and down 3

Factor the Polynomial
5x2 + 45x

Answers

i’m gonna assume it’s 5x(2)+45x
10x+45x=55x

Answer:

55x

Step-by-step explanation:

5x*2+45x=

10x + 45x= 55x

Ms. kelly has a field of sweet corn with one outside row measuring 540 feet and the other 600 feet. It measures 420 feet across the rows. How many acres of sweet corn are in this field?​

Answers

Answer: .

Step-by-step explanation:

Josh is going to choose a 2-digit number. What is the probability that the sum of the digits in his number will be 9? (there are 90 two digit numbers in total)

Answers

answer,,

18

27

36

45

54

63

72

81

hope my ans helps

please give brainliest to my answer

be sure to follow me

stay safe

Neil got a hit 9 of the 11 times he batted in the softball tournament. Maggie got a hit 18 of the 22 times she batted in the tournament. Did they have the same batting records?

Answers

Answer:

they have the same batting record

Step-by-step explanation:

Batting record for each :

Neil :

9 /11 = 0.8181

Maggie :

18 /22 = 0.8181

From here we see that they both have the same proportion of hits :

Hence they have the same batting record

Please Help ill make brainliest 15 points

A:149
B:153
C:225
D:297

Answers

Answer: 225 square feet

Step-by-step explanation:

We find the area of the 4 triangle and the area of the rectangle and thereafter we add everything together.

Area of triangle 1 = 1/2 base × height

= 1/2 × 12 × 8

=96/2

=48

Area of triangle 2 = area of triangle 1= 48( because the opposite triangle are congruent so they have equal base and height)

Area of triangle 3 = 1/2×base×height

= 1/2 × 6 ×9.5

= 57/2

=28.5

Area of triangle 4=Area of triangle 3 = 57 (the opposite triangle are congruent and so they have the same base and height hence the same area)

Area of the rectangle = length×breadth

=12 × 6 =72

Total surface area = addition of all the areas of the triangles and the rectangle

Total surface area= 48+48+57+57+72 = 225

Therefore, the total surface area is 225 square feet

Write an equation in point-slope form that describes the line with a slope of -3 that contains the point (1,2)

Answers

Answer:

        y - 2 = -3(x - 1)

Step-by-step explanation:

The point-slope form of the equation that describes the line with a slope of m that contains the point (x₀, y₀) is: y - y₀ = m(x - x₀)

m = - 3

(1, 2)  ⇒    x₀ = 1,  y₀ = 2

Therefore:

y - 2 = -3(x - 1)

James studied for his test. He started studying at 3:20 p.m. and studied for 2 hours
and 15 minutes. What time did he finish studying? (SHOW WORK PLS BEST ANSWER WITH BEST EXPLANATION GETS THANKS AND BRAINLIEST!!)

Answers

Answer:

James finished studying at 5:35pm

Step-by-step explanation:

3:20+2:15=3:35

20+15=35

3+2=5

need answers asap please besties<3​

Answers

Answer:

The answer would be -19.8

Step-by-step explanation:

Hope this helps

- 6
x= -18
3
360
f(x) =
I= 36
C
4x + 73
X = -18,36
f(-18) =

Answers

Answer:

f(−18)=−8

khan academy

(25 points!) Caleb bought a $795 necklace for his wife's birthday. If he bought it on credit with an interest rate of 16.25% how much total will he have paid after three years? ​

Answers

Answer:

The total amount that he would have paid after 3 years is $1183.

Step-by-step explanation:

We would apply the formula for determining simple interest which is expressed as

I = PRT/100

I represents interest paid on the amount owed.

P represents the principal or initial amount owed.

R represents interest rate

T represents the duration for which the amount was owed in years.

P = $795

R = 16.25

T = 3 years

I = (795 × 16.25 × 3) ÷ 100

I = $388

Total amount that he would have paid after 3 years is $795 + $388 = $1183

The total amount that he would have paid after three years would be $1183.

What is the simple interest?

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

The given data as per the question

P = $795

R = 16.25

T = 3 years

Simple interest =  P × R × T

Substitute the values,

Simple interest = (795 × 16.25 / 100 × 3)

Simple interest = (795 × 0.1625 × 3)

Simple interest = $388

The total payback amount :  $795 + $388 = $1183

Therefore, the total amount that he would have paid after three years is $1183.

Learn more about the simple interest here:

brainly.com/question/22621039

#SPJ2

in the first quadrant you start at 4,6 then u move 6 units right and 5 units up

Answers

Answer:

10, 11

Step-by-step explanation:

4 plus 6 = 10

6 plus 5 = 11

Casey recently purchased a sedan and a pickup truck at about the same time for a new business. The value of the sedan S, in dollars, as a function of the number of years t after the purchase can be represented by the equation S(t)=24,400(0.82)t. The equation P(t)=35,900(0.71)t2 represents the value of the pickup truck P, in dollars, t years after the purchase. Analyze the functions S(t) and P(t) to interpret the parameters of each function, including the coefficient and the base. Then use the interpretations to make a comparison on how the value of the sedan and the value of the pickup truck change over time.

Answers

Answer:

Step-by-step explanation:

Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.

Answer:

Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.

Step-by-step explanation:

Find the percentage change from
40 to 60.

Answers

Answer:

50%

thats the answer

Help!
Solve for the vaule(s) of b: b- 4.3 > 16.1​

Answers

Answer:

b>20.4

Step-by-step explanation:

in the math equation W=F*D what relationship is required for work to be done


the force must be equal to the distance

the force must be perpendicular to the distance

the force must be greater than the distance

the force must be in the same direction as movement​

Answers

The relationship that is required for work to be done is the force must be perpendicular to the distance

Equation of work done

The formula for calculating the work done is expressed as:

W = Fd

where
F is the force

d is the distance

For work to be done, the force must act perpendicularly to the given distance. Hence the relationship that is required for work to be done is the force must be perpendicular to the distance

Learn more on workdone here: https://brainly.com/question/25573309

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