ratio of a rectangle's length to its width is 4:7. If the longer side is 31.5in., find the width, the perimeter, and the area of this rectangle.

Answers

Answer 1

Answer:

Step-by-step explanation:

Ratio of length : width = 4 : 7

Length = 4x

Width = 7x

Longer side = 31.5 in

⇒ 7x = 31.5

Divide both sides by 7

x = 31.5/7

x = 4.5

length = 4x

           = 4*4.5

         l = 18 in

width =  31.5

       w = 31.5 in

[tex]\boxed{ \text {Perimeter of rectangle }= 2*l + 2*w}[/tex]

                                      = 2*18 + 2*31.5

                                      = 36 +  63

                                      = 99 in

[tex]\boxed{ \text{Area of rectangle = l*w}}[/tex]

                             = 18*31.5

                             =  567 in²

                             


Related Questions

Solve and will mark brainliest

Answers

Answer:

24 degrees

Step-by-step explanation:

24 degrees because

angle a is 24 degrees

and since its the middles and main angle

24 degrees is the answer

Find the Sum.
29, 8 67
+ 14, 938

Answers

Answer:

44805

Step-by-step explanation:

i just added them together lol

Answer:

the answer is 44805

Step-by-step explanation:

just add them together

Please helpppppppppppppp <3

Answers

Answer:
First attached in this order:
The 1st one
the 3rd one
The 4th one
The 2nd one
Step by-step explanation:
I'll write the answer in the comments for the 2nd attachment.

Answer:

Part 1: -10, -5, 0, 8 Part 2: -3/2, -15%, 0.80, 143%, 2 1/4

Step-by-step explanation:

Part 1: The lower the number, the lower the temperature
Part 2: Convert the fractions into decimals

2 1/4 = 2.25
-15% = -0.15
143% = 1.43
-3/2 = -1.5
0.80 = 0.80
The order from least to greatest is -3/2, -15%, 0.80, 143%, 2 1/4
Hope this helps :)

PLEASE HELP!!! I"LL MARK AS BRAINLIEST!!!A local water park has two types of season passes. Plan A costs a one-time fee of $139 for admission plus $8 for parking every trip. Plan B costs a one-time fee of $43 for parking plus $24 for admission every trip. How many visits must a person make for plan A and plan B to be equal in value?

Answers

Answer:

6 visits

Step-by-step explanation:

Plan A: 139+8x

Plan B: 43+24x

Set the equations equal to each other.

[tex]139 + 8x = 43 + 24x[/tex]

Subtract 43 from both sides.

[tex]96 + 8x = 24x[/tex]

Subtract 8x from both sides.

[tex]96 = 16x[/tex]

Divide both sides by 16.

[tex]x = 6[/tex]

The answer would be 6 visits! I hope this helps!

A doctor conducts a survey with a random sample of his patients, measuring their cholesterol levels in millimolar per liter.
The data measurements for 14 patients are given below. Assuming the population standard deviation is o = 1.3 and that
the population is normally distributed, compute a 90% confidence interval for the mean cholesterol levels of his patients.
Round your answers to two decimal places and use ascending order.

Answers

Using the z-distribution, as we have the standard deviation for the population, it is found that the 90% confidence interval for the mean cholesterol levels of his patients is (5.59, 6.73).

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the sample.

In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.90[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

Researching on the internet, the other parameters are given by:

[tex]\overline{x} = 6.16, \sigma = 1.3, n = 14[/tex]

Hence:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 6.16 - 1.645\frac{1.3}{\sqrt{14}} = 5.59[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 6.16 + 1.645\frac{1.3}{\sqrt{14}} = 6.73[/tex]

The 90% confidence interval for the mean cholesterol levels of his patients is (5.59, 6.73).

More can be learned about the z-distribution at https://brainly.com/question/25890103

Find the surface area of the cube.

Answers

Given:-

[tex]\rightarrow[/tex] Side(a) of the cube = [tex]\sf{\frac{1}{3}ft}[/tex].

To Find:-

[tex]\rightarrow[/tex] Surface Area of the cube with side [tex]\sf{\frac{1}{3}ft.}[/tex]

Formula Used:-

[tex]\rightarrow[/tex] Surface area of cube = [tex]\sf{6a^2}[/tex]

Solution:-

[tex]\rightarrow[/tex] Surface area of cube = [tex]\sf{6a^2}[/tex] (putting the value of a from the above given)

[tex]\rightarrow[/tex] [tex]\sf{=\:6×(\frac{1}{3})^2}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\:6×\frac{1}{9}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\:\frac{6}{9}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{=\:\frac{2}{3}ft^2}[/tex]

Therefore, surface area of the given square = [tex]\sf{=\:\frac{2}{3}ft^2}[/tex]

__________________________________

Hope it helps you:)

Answer:

Step-by-step explanation:

there are 6 square faces of a cube.

if side=x

surface area=6x²

=6(1/3)²

=6/9

=2/3 square foot

Help help help help

Answers

Answer:

h=3/2. V=3(root)3

Step-by-step explanation:

length of a rectangle is three times its width. if the length of the rectangle is 64 in, find the width and length

Answers

Answer:

Length: 64

Width = 21 1/3

Step-by-step explanation:

Width = Length 64 * 1/3 Width

Width = 21.3333333 or 21 1/3

Answer:

[tex]l=64 in[/tex]

[tex]w=21.3333in[/tex]

Step-by-step explanation:

[tex]l=3w[/tex]

[tex]\frac{64}{3} =21.3333[/tex]

How far could the Apostle Paul walk in 4.5 hours if he walked an average of 4.3 kilometers per hour?

Answers

Answer 19.35 km

Step-by-step explanation:

We are looking for the Distance that Apostle Paul walked in 4.5 Hours!

I will be using the formula Distance=rate*time 1)

We DONT know the distance so I'll leave it as variable "D".

We know his rate of walking is 4.3 km/h, and we know he walked for a total of 4.5 hours.

Set up the following equation. D=4.3*4.5 2)

Simplify the equation above: D=19.35

what shape is this will give brainliest and all that

Answers

Answer:

that is a Trapezoid

Step-by-step explanation:

it has two lines that are parallel and two lines that are not. crd. MathGeek99

Answer:

I believe it is a Quadrilateral

Step-by-step explanation:

It's a quadrilateral because of how many sides it has and other stuff

50 Points! A section of wall for a mural is shaped like a parallelogram with a base length of 7 feet and a height of 11 feet. A can of paint will cover 20 square feet.

nvm it was 4

Answers

Area = length x height:

Area = 7 x 11 = 77 square feet.


divide area of wall by area per can:

77/20 = 3.85 cans


they will need to buy 4 cans

f(x) = x^1/2 is continuous for all x but not differentiable at x=0. is it True or False?

Answers

Answer:

it's true because the x=0 and that why it must be true FX may be the some I would say it's true

help pls i really need help

Answers

Answer:

See below

Step-by-step explanation:

We see the segment of length of 3 is divided by 3 and each of units divided by 4.

The number of purple rectangles is 12.

This can be expressed as:

Number of fourths in 3, this is same as 123 ÷ 1/4 = 12, same as above

The other options are not matching this model. They all end up with part of the line segment.

Three of them result in 3/4 and one results in 4.

In a certain triangle, two of the sides have measures of 13 and 16. If the triangle is isosceles, then which of the following could be the measure of the third side?

A. 3
B. 29
C. 13
D. 32

PLEASEEE help! I think it's A or B

Answers

Answer:

Choice C.

An isosceles triangle always has two sides of the same length.

PLEASE HELP PLEASE I WILL GIVE BRAINLIEST

Answers

Answer:

QUESTION:1:TYLERCOMPLETELY FILLED THE BOX SHOWN BELOW WITH UNIT,CUBES WITH NO GAPS OR OVERLAPS.HE THEN VOUNTED THE NUMBER OF CUBES THAT HE USED TO FILL THE BOX WHAT TYPE OF MESUREMENT IS REPRESENTED BY THE NUMBER OF CUBES TYLER COUNTED?(5.MD.3)A.AREA B.HEIGHT C.VOLUME D.PERIMETER The CORRECT OPTION :C.VOLUME

Step-by-step explanation:

pls brainlest me thank you

Classement pays médaille d'or de cyclisme moyennes 70 %pays...

Answers

Answer:

Classement pays médaille d'or de cyclisme moyennes 70 %paga...

Step-by-step explanation:

What is the explict rule for the geometric sequence? 9,6,4, 8/3 Enter your answer in the box. an=

Answers

Answer:

an = 9(⅔)^(n-1)

Step-by-step explanation:

The formula for explicit is: An = a1(r)^(n-1)

Complete or justify each step. 2(2h + 2)2(3h + 5) - 12 Distributive Property 4h + 4 < 6h-2 Simplify (combine like terms). 4h+ 4- 6h 6h-2-6h - 2h + 4<-2 simplify-2h<-6 simplify h>3​

Answers

Answer:

7[tex]\geq[/tex][tex]\frac{h}{14}[/tex]

Step-by-step explanation:

Mark brainliest

Which of the following choices represents the average of other four?
A)4. B)-3. C). -4. D). -17. E). 5

Answers

Answer:

B

Step-by-step explanation:

Let's add some numbers together and divide by the numbers of numbers. The answer should be among these.

4 + 5 + -4 + -3 = 2

4/2 = 2.

-17 + -4 + 4 + 5 = -12

-12/4 = -3.

The answer is B.

What is the next time: 8:30 A.M., 10:00 A.M., 11:30 A.M., _______? A) 1:00 P.M. B) 1:00 A.M. C) 1:30 P.M. D) 1:30 A.M.

Answers

Answer:

A 1 PM

Step-by-step explanation:

Becasue it grows by an hour and a half each time

Answer: Easy. A. 1 pm.

.

If the difference of 3 / 4 and 1 / 6 of a number is 7, find the number and also verify your answer.​

Answers

It’s 1/7 because I had the same thing

A rectangular room is 21 feet wide. It is
three times as long as it is wide. What is
the perimeter of the room?

Answers

Answer:

I think the answer is 7

Step-by-step explanation:

7 multipled my 3 equals 21.

Find simple interest

Principal=rs 4000
Time :2
rate of interest :10%​

Answers

Step-by-step explanation:

please mark me as brainlest

Step-by-step explanation:

Simple Interest is calculated using the following formula: SI = P × R × T/100, where P = Principal , T is time and r is interest rate.

So , by the values given

Principal :-rs 4000

Time :-2

rate of interest :- 10%

[tex] \frac{p \times r \times t}{100} [/tex]

[tex] \frac{4000 \times 10 \times 2}{100} [/tex]

[tex] = 800 \: rs[/tex]

Can someone please help me with this

Answers

Answer:

Vertex: (-1 , 50)

Axis of Symmetry: x = -1

y - intercepts: (0 , 48)

Which of the following is a right triangle?
70°
60
30*
249
459
128
90°
45°
/60°
60°
55
559
Triangle A
Triangle e
Triangle C
Triangle D
A. Triangle C
B. Triangle D
C. Triangle A
D. Triangle B
SUBMIT

Answers

Answer:

Triangle C

Step-by-step explanation:

Triangle C contains a 90° angle.

Answer:

Triangle C

Step-by-step explanation:

The right triangle has one side that is 90° the other two sides have to add up to 90° (45 + 45= 90)

What is the dividend yield on Stock A that sells at
$15/share, when Company A pays a quarterly
dividend of $0.20 per share?
dividend yield = [?] %

Give your answer as a percent rounded to the
nearest tenth

Hint: Dividend Yield
annual dividend
share price

Answers

Answer:

  5.3%

Step-by-step explanation:

The annual dividend is 4 times the quarterly dividend, so is $0.80 per share. The yield is the ratio of that to the share price:

  yield = $0.80/$15.00 ≈ 0.05333... ≈ 5.3%

The dividend yield is 5.3%.

Find f(x+2) if f(x)=(5x^2)-2x+3

Answers

Answer:

Use the given functions to set up and simplify f(x+2).

5x2+18x+19 This is the Answer if using The Function Operation.

-------------------------------------------------------------------------------------------------------

10x−2 This is the Answer if you want to find the Derivative

--------------------------------------------------------------------------------------------------------

I don't know if my answer is right if it's wrong I am sorry.

Anyways have an amazing day!


One natural number is 4 more than another one. The product of the two numbers is three times the square of the lesser
number. Find the numbers.

Answers

Answer:

2 and 6

Step-by-step explanation:

EXPLAIN AND SOLVE THE EQUATION

Answers

Answer:

1st answer: 61000+(X-1) x 700

2nd answer: 64500

Step-by-step explanation:

Since it says the population increases linearly, which means by the same amount, it is an arithmetic progression. So the formula to find a term in arithmetic progression is [tex]T_{n}[/tex]=a + ( n - 1 ) x d , where a is the first term, n is number of terms, and d is common difference. So now just put the values in the equation, where 61000 is a, x is n and d is 700. To find second answer put 6 in place of n as it says from 2003 to 2009 which is 6 years later.

The answer is 64500. Hopefully that helps

What is the volume of a sphere with a diameter of 50 cm

Answers

since we know the diameter is 50, then its radius is half that or 25.

[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=25 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (25)^3}{3}\implies V=\cfrac{62500\pi }{3} \\\\\\ V\approx 65449.85~cm^3 \end{array}[/tex]

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