The sides of a rectangle are in the ratio of 5:6. If its longer side is 7.2 in., find the shorter side, the perimeter, and the area of this rectangle.

Answers

Answer 1

Answer:

The shorter side is 6.

The perimeter is 26.4 inches.

The area is 43.2 inches[tex]^{2}[/tex]

Step-by-step explanation:

The ratio 5;6 and the given longer side is 7.2 in.

Since it is the longer side, the '6' in the ratio is 7.2 in.

Let x be the shorter side

5:6 = x : 7,2

Divide 7.2 to 6.

7.2 ÷ 6 = 1.2

Then multiply 1.2 to 5.

1.2 * 5 = 6

So the shorter side is 6.

L = 7.2

W = 6

Now to find the perimeter, let's use the formula

P = 2L + 2W

Let's put the values in the formula

P = 2(7.2) + 2(6)

P = 14. 4 + 12

P = 26.4

The perimeter is 26.4 inches

To find the area, let's use the formula

A = LW

A = (7.2)(6)

A = 43. 2 inches[tex]^{2}[/tex]

Answer 2

Answer:

shorter side= 6

p= 26.4  

a= 43.2

Step-by-step explanation:


Related Questions

Helpppp!!
Drag each image to the correct location on the graph. Each image can be used more than once.
The following list shows the grams of fiber per serving for each flavor of oatmeal at a grocery store.

3, 6, 3, 4, 2, 4, 4
3, 5, 2, 1, 4, 1, 2
Create a histogram that correctly displays the data.

Answers

Answer:

The answer is 2, 6, 5, 1 for the Grams of Fiber.

Step-by-step explanation:

What is the volume?????

Answers

Volume is the amount of space a 3D shape takes up. You can work out the volume of a shape by multiplying height × width × depth.If the shape is made of cubic cm blocks, you can count the cubes to find the shape's volume.


Do you know what the variables could be

Answers

Answer:

5, 7, and 12

Step-by-step explanation:

First we can make and equation

x + z + y = 24

we can plug in the numbers you gave us giving us

y = x + z

z = y - x

x = (y - 2) ÷ 2

Once, were done we get that x = 5 ≈ smallest number

z = 7 ≈ second largest number

y = 12 ≈ largest number

Solve for x using
multiplication.
Cross
-
3x - 3
5
=
2x - 2
4.
x = [?]

Answers

Answer:

x = 1

Step-by-step explanation:

[tex]\frac{3x-3}{5}[/tex] = [tex]\frac{2x-2}{4}[/tex] ( cross- multiply )

4(3x - 3) = 5(2x - 2) ← distribute parenthesis on both sides

12x - 12 = 10x - 10 ( subtract 10x from both sides )

2x - 12 = - 10 ( add 12 to both sides )

2x = 2 ( divide both sides by 2 )

x = 1

With a population standard deviation of 10 and a sample size of 4, what is the standard error of the mean

Answers

With a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the mean

Step-by-step explanation:

The flywheel on a steam engine rotates 60 revolutions every 15 seconds. What is the flywheel's rate of revolutions per second?

Answers

Answer:

It is 4

Step-by-step explanation:

What's the length of an arc with a central angle of 100° and a radius of 2 inches?

A) 10pi/9 inches
B) 5pi/3 inches
C) 100pi/3 inches
D)40pi/3 inches

Will make brainly who answers correctly.

Answers

3.49 inches
Step-by-step explanation:
2π(2)*100/360

Will give brainly crown (if shown step by steps I'll give half of my entire points)

Felix and Oscar applied for the same credit card from the same bank. The bank checked both of their FICO scores. Felix had an excellent credit rating, and Oscar had a poor credit rating.

a. Felix was given a card with an APR of 14%. What was his monthly percentage rate? Round to the nearest hundredth of a percent.

b. Oscar was given a card with an APR of 21%. What was his monthly percentage rate? Round to the nearest hundredth of a percent.

c. If each of them had an average daily balance of $800 for a specific month, and had to pay a finance charge, how much more would Oscar pay than Felix?

Answers

A) The monthly percentage rate of Felix is;

B) The monthly percentage rate of Oscar is;

C) The amount that Oscar will pay more than Felix is; $0.96

Annual Percentage Rate

A) Felix was given a card with APR of 14%.

Thus;

Monthly percentage rate = 14%/12 = 1.63%

B) Oscar was given a card with an APR of 21%. Thus;

Monthly percentage rate = 21%/12 = 1.75%

C) We are told that each of them had an average daily balance of $800 for a specific month.

Thus;

Amount paid by Felix = 800 * 1.63%

Amount paid by Felix  = $13.04

Amount paid by Oscar = 800 * 1.75%

Amount paid by Oscar = $14

Difference in Payments = $14 - $13.04 = $0.96

Thus, Oscar pays $0.96 more than Felix.

Read more about Annual Percentage rate at; https://brainly.com/question/11686424

a. felix: 14/12 = 1.167% (round to nearest hundredth = 1.17%)

b. oscar 21/12 = 1.75% (no need to round here)

c.

felix: (1.17/100) x 800 = 9.36

oscar: (1.75/100) x 800 = 14.00

14.00 - 9.36 = 4.64

oscar will pay $4.64 more than felix.


plz help asap
Find the length X ​

Answers

Answer:

x=8 that's the answer for the question

5
8. The frequency distribution below summarizes employee years of service for Alpha Corporation. Determine the width of each class.
Years of service Frequency
1-5
6-10
20
11-15
25
16-20
10
21-25
5
26-30

Answers

The required class widths are 3, 8, 13, 18, 23 and 28

Given the frequency distribution that summarizes employee years of service for Alpha Corporation as shown below:

[tex]1-5 \ | \ 6-10\ | 11-15 \ | \ 16-20 \ | 21-25 \ | 26 - 30\ \\ 0\ \ \ \ \ \ \ \ 20 \ \ \ \ \ \ \ \ 25 \ \ \ \ \ \ \ \ \ \ 10 \ \ \ \ \ \ \ \ \ \ 5[/tex]

The width of each class is calculated by taking the midpoints of each of the class intervals as shown:

For the class interval 1  - 5

width  = 1+5/2 = 3

For the class interval 1  - 5

width  = 6+10/2 = 8

For the class interval 11  - 15

width  = 11+15/2 = 13

For the class interval 16  - 20

width  = 16+20/2 = 18

For the class interval 21  - 25

width  = 21+25/2 = 23

For the class interval 26  - 30

width  = 26+30/2 = 28

Hence the required class widths are 3, 8, 13, 18, 23 and 28

Learn more on class width here: https://brainly.com/question/24326240

If 7 > 2, then explain why -7 < -2.
A. The above statement is false.
B. Because the sign changed.
C. Because -7 is more negative and further to the left on the numberline than
-2.
D. Because 7 is an odd number and 2 is even, which flips when they become
negative, where -7 becomes even and -2 becomes odd.

Answers

Answer:

C

Step-by-step explanation:

Hope it can help you lovelots

If 7 > 2, then explain why -7 < -2.

Answer =》C. Because -7 is more negative and further to the left on the numberline than

-2.

______

RainbowSalt2222 ☔

(Pythagorean theorem) do the following lengths form a right triangle? Show steps

Answers

Answer:

8^2+6^2=10^10?

64+36=100

Yes

Hope This Helps!!!

Answer:

Yes,

Step-by-step explanation:

8^2 +6^2=100

[tex]\sqrt 100\\[/tex]= 10

- 3< t <2

t is an integer.
Write down all the possible values of t.

Answers

Answer:

-2, -1, 0, 1

Step-by-step explanation:

-2

-1

0

1

All the possible values of t in the inequality - 3 < t < 2 is,

t = - 2, - 1, 0, 1

Used the concept of inequality that states,

A relation by which we can compare two or more mathematical expressions is called an inequality.

Given that;

The inequality is,

- 3 < t < 2

Here the given inequality means all the values of t are lies between - 3 and 2.

That is,

t = - 2, - 1, 0, 1

Therefore, the value of t are t = - 2, - 1, 0, 1

To learn more about inequality visit:

https://brainly.com/question/25944814

#SPJ3

Laura wants to place a flowerpot every 3/4 meters along the path from the gate to the main entrance of her home the path is 12 meters long how many flowerpots will she need

Answers

Answer:

16 pots

Step-by-step explanation:

Laura wants to place a pot every 3/4 (0.75)m

The length she wants to cover is 12m

So all we must do is divide

1) 12/0.75 (I converted the fraction to a decimal cause its easier)

2) 12/0.75 = 16

3) which means for each 3/4 there will be one pot so there is 16 pots in total

Does someone have this answer???? Thank you so much

Answers

Answer: 3

Step-by-step explanation:

We know that p(t) = 11:

11=2t+5

11-5=2t

6=2t

6/2 = t

3 = t

Solve for x
9(x + 5) = -9

Answers

Answer:

x = -6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

9(x+5)=−9

(9)(x)+(9)(5)=−9(Distribute)

Step 2: Subtract 45 from both sides.

Step 3: Divide both sides by 9.

Hello there! :)

9(x+5)=-9

Use the Distributive Property:

9(x+5)=-9

9x+45=-9

9x=-9-45

9x=-54

Divide both sides by 9:

x=-6

Hope it helps you! :) Feel free to ask me if you have any questions.

~A smiley teen who adores helping others

[tex]MagicalNature[/tex]

Which number is a zero of the given function?
g(x) = (x^2– 36) (x + 7)

Answers

You can factor it more
Remember: (a^2 - b^2) = (a-b)(a+b)
(x^2 - 36) = (x - 6)(x + 6)
Now plug back to equation

(x - 6)(x + 6)(x + 7) = 0
x - 6 = 0, x = 6
x + 6 = 0, x = -6
x + 7 = 0, x = -7

Solution: x = 6, -6, -7

The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.

To find the zeros of the function g(x) = (x² - 36)(x + 7), we need to identify the values of x that make the entire function equal to zero.

For a function to be equal to zero, at least one of its factors must be zero. Therefore, we set each factor to zero and solve for x:

Setting the first factor, x² - 36, to zero:

x² - 36 = 0

Now, add 36 to both sides of the equation:

x² = 36

Next, take the square root of both sides:

x = ±√36

x = ±6

Setting the second factor, x + 7, to zero:

x + 7 = 0

Now, subtract 7 from both sides of the equation:

x = -7

The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.

Learn more about zeros of the function from the link given below.

https://brainly.com/question/31654189

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In figure BC = CA and ∠A = 40°. Then ∠ACD is...
a)40° b) 80° c) 120° d) 60°

Answers

Answer:

B

Step-by-step explanation:

The size of the exterior angle in a triangle is the sum of interior opposite angles. In this case, it's

Angle ACD=40+40=80° (Exterior angle=sum of int. opp. angles)

Answer:

b. 80°

Step-by-step explanation:

B is 40°

A triangle has 180°

40 + 40 + x = 180

80 + x = 180

x = 100

Since it's a supplementary angle...

180 - 100 = 80

Please help me please help mee

Answers

Answer:

1.-profit

2.-$300

3.-25%

Step-by-step explanation:

1.- 1500-1200=300+

2.-(1)

3.-1200/100= 12

300/12= 25

I’ve attached my work, hope it helps!

What is the median?

And why
? Do you think so

Answers

Answer:

32 seconds

Step-by-step explanation:

The median is the exact middle of the data after putting the data in order. In this example, it would be 32 seconds.

23, 23, 28, 31, 32, 34, 47, 49, 56

Find the value of x and y and each labeled
angle.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required values are ~

[tex]\fbox \colorbox{black}{ \colorbox{white}{x} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{40 \degree}}[/tex]

[tex]\fbox \colorbox{black}{ \colorbox{white}{y} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{80 \degree}}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

From the given figure, we can infer that ~

3x - 20° + 2x = 180°

(by linear pair)

now, let's solve for x ~

[tex]5x - 20 \degree = 180 \degree[/tex]

[tex]5x = 180 \degree + 20 \degree[/tex]

[tex]5x = 200 \degree[/tex]

[tex]x = 200 \degree \div 5[/tex]

[tex]x = 40 \degree[/tex]

And, we can see that 2x = y (by alternate interior angle pair)

So, let's find the value of y ~

[tex]2x[/tex]

[tex]2 \times 40 \degree[/tex]

[tex]80 \degree[/tex]

Answer:

x = 40

3x - 20 = 100

2x = 80

y = 80

2x - 15 = 65

Step-by-step explanation:

The angles 3x - 20 and 2x are a linear pair, so they are supplementary. Their measures has a sum of 180°.

Angles 2x and y are alternate interior angles, so they are congruent.

Once we find the value of x, we can find the measure of angle 2x - 15.

3x - 20 + 2x = 180

5x = 200

x = 40

3x - 20 = 3(40) - 20 = 120 - 20 = 100

2x = 2(40) = 80

y = x = 80

2x - 15 = 2(40) - 15 = 80 - 15 = 65

A right triangle has legs that are 10. 1 inches and 12. 2 inches long. What is the approximate length of the hypotenuse? 6. 8 inches 15. 8 inches 22. 3 inches 125. 5 inches.

Answers

Answer:

A^2 + B^2 = C^2        for a right triangle

C^2 = (10.1^2 + 12.2^2)^1/2 = 250.85^1/2 = 15.8 in

if pepsi Bottles 8-pack or cans 12-pack 3 for $12.88 how much for 1 pack?

explain

Answers

Answer: $4.29?

Step-by-step explanation:

3 pack /3 = $12.88 /3

1 pack = 4 22/75 or approx $4.29

I need help with these questions. Thanks!​

Answers

Answer:

47.27°44.22°

Step-by-step explanation:

Q1)

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(x) = 57/84

The inverse function is used to find the angle.

  x = arccos(57/84)

  x ≈ 47.27°

__

Q2)

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(x) = 53/76

The inverse function is used to find the angle.

  x = arcsin(53/76)

  x ≈ 44.22°

A Science book has 428 pages, of which 47% are on biology, 28% on Chemistry and the remainder on Physics. How many pages on Physics are there?

Answers

Answer:

107 pages.

Step-by-step explanation:

100 - 47 - 28 = 25% are on Physics.

Number of pages on physics = 0.25 * 428

= 107.

Answer:

There are 107 pages devoted to physics.

Step-by-step explanation:

The number of pages on bio is 0.47(428) = 201 (rounded up from 201.16);

the number of pages for on chem is 0.28(428) = 120 (rounded up from 119.84), and so the total number of pages devoted to bio and chem is

201 + 120, or 321.

Subtracting this subtotal from the book's 428 pages yields 107.

There are 107 pages devoted to physics.

Which graph represents x ≥ 2?

Answers

Answer:

...

Step-by-step explanation:

b/4 + 2 = -1



Please help, I’ll give brainliest to whoever answers correct first.

Answers

Answer:

[tex]\frac{b}{4}+2=-1[/tex]

Subtract 2 from both sides:

[tex]\frac{b}{4}+2-2=-1-2[/tex]

[tex]\frac{b}{4}=-3[/tex]

Multiply 4 to both sides:

[tex]4*\frac{b}{4} =-3*4[/tex]

[tex]b=-12[/tex]

Solve for x



………………..

Answers

move constant to the right

calculate

divide both sides

What is this symbol??​

Answers

Answer:

plus and minus

Step-by-step explanation:

example : 3 ± 5 = 8 or -2  

Hello!

The symbol + means "plus or minus"

It means we either add or subtract 4.

Example: 2+4=6 or -2

Hope it helps!

~Just a felicitous teen

#CarryOnLearning

[tex]SilentNature :-)[/tex]

Add the following fractions answer in lowest terms.

1) 9/10+4/5+5/6=
2) 14/15+2/9+1/5=


please give me Right answers please.​

Answers

Answer:

1) 9/10 + 4/5 + 5/6 = 2 8/15

2) 14/15 + 2/9 + 1/5 = 1 16/45

==============================================

Solution:

[tex] \bold{1)} \: \tt \frac{9}{10} + \frac{4}{5} + \frac{5}{6} \\ \\⟹ \tt \frac{9}{10} + \frac{4}{5} \\ = \tt \frac{9 \times 1}{10 \times 1} + \frac{4 \times 2}{5 \times 2} = \frac{9 + 8}{10} = \frac{17}{10} \\ \\ ⟹\tt \frac{17}{10} + \frac{5}{6} \\ = \tt \frac{17 \times 3}{10 \times 3} + \frac{5 \times 5}{6 \times 5} = \frac{51 + 25}{30} = \frac{76}{30} \: or \: 2 \frac{16}{30} = 2 \frac{8}{15} \\ \\ \\ \\ \bold{2)} \tt \: \: \frac{14}{15} + \frac{2}{9} + \frac{1}{5} \\ \\⟹ \tt \frac{14 \times 3}{15 \times 3} + \frac{2 \times 5}{9 \times 5} = \frac{42 + 10}{45} = \frac{52}{45} \\ \\⟹ \tt \frac{52}{45} + \frac{1}{5} \\ = \frac{52 \times 1}{45 \times 1} + \frac{1 \times 9}{5 \times 9} = \frac{52 + 9}{45} = \frac{61}{45} = 1 \frac{16}{45} [/tex]

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