4. The length of a rectangle is 18 centimeters and the width is 6 centimeters. A similar
rectangle has a width of 10 centimeters. What is the length of the missing side?

Answers

Answer 1

Answer:

30 cm

Step-by-step explanation:

So what we are given here is a case of similar figures.

When we are given similar figures, the ratio of the width of both figures should be similar to the ratio of the length of both figures.

I'll demonstrate it in the following problem.

We know one rectangle has a length of 18 cm and a width of 6cm.

The other rectangle has a width of 10 cm.

Let's take a ratio of the width of both rectangles.

We take the width of 6 cm for the first rectangle to the width of 10 cm for the second rectangle.

w1 = 6 cm

w2 = 10 cm

6 cm : 10 cm = 3 : 5

The ratio given is 3 : 5. Let's use these ratios to find lengths.

l1 = 18 cm

l2 = x cm

3 : 5 = 18 : x

To find x, we just solve this like an equation, where we let ratios be division signs.

3/5 = 18/x

Multiply both sides by 5x

3x = 90

Divide both sides by 3

x = 30 cm

The length of the missing side is 30 cm. We found the answer to the length by using the ratios obtained from the widths.


Related Questions

Need help with this question?

Answers

Answer:

six hundred and sixty-two by twenty-six

Step-by-step explanation:

six hundred and sixty-two by twenty-six

Margo earns $13.50 per hour as a lifeguard. How many hours per week must she work if she wants to earn approximately $300 per week ?

Answers

Answer:

22.22 or 22 11/50

Step-by-step explanation:

I need help Point reward is 70!!

Answers

Answer:

A or -32

Step-by-step explanation:

Answer:

-32 or A

Step-by-step explanation:

See attachment

Joey owns 32 ties.


3 over 8 of the ties are red.

1 half of the red ties have stripes.

How many of the ties are red and have stripes?

Answers

16 is half of 32! So if half the red ties have stripe then 32/2 is 16

Please help, I am struggling with this. Question is in image. ​

Answers

Answer:

- 6.5555   - 19/3    - sqrt 38     6.23

Step-by-step explanation:

18 pink flowers to 12 white flowers per row.

Find the ratio of pink flowers per white flower per row.

Answers

Answer:

18:12

divide both sides by 3

6:4

divide both sides by 2

3:2

Select the correct answer from each drop-down menu.
Consider the equation below.
-2(53 + 8) = 14 + 65
The equation was solved using the following steps.
-10.1
-
- 16 = 14 + 65
-161 - 16 = 14
Step 1:
Step 2:
Step 3:
Step 4:
-161 = 30
30
--16
Step 5:
1
II
Complete the statements below with the process used to achieve steps 1-4.
-2 to 5x and 8.
Step 1:
Step 2:
6x

Answers

Answer:

1: Distribute -2 to 5x and 8.

2:Subtract 6x.

3:Add 16.

4:Divide by -16.

Step-by-step explanation:

Answer:

1: Distribute -2 to 5x and 8.

2:Subtract 6x.

3:Add 16.

4:Divide by -16.

Step-by-step explanation:

Step-by-step explanation:

Nancy purchased from bed sheets for $36 they were on sale for 25% off what was the original price of the bed sheets

Answers

Answer:

ans $48

Step-by-step explanation:

36$ with 25%off

so

$36*75%=48

A coin is Flipped 3 times. What IS the probability that the coin lands heads up once and tails up twice if order does not matter?

Answers

Answer:

The probability that the coin lands heads up once and tails up twice is .375, or 3/8.

Step-by-step explanation:

Check the conditions for a binomial distribution problem:

Define success = heads and failure = tails.The number of trials is fixed; n = 3.Each coin flip is independent of the other.Probability p = .5 of getting either heads or tails.

We need to use combinations to determine the probability of getting one success (one head) and two failures (two tails).

The combination would be 3 choose 1:  [tex]p = {3 \choose 1} (.5)^1(.5)^2[/tex].

There is one success and two failures, denoted by the superscripts above the probability p = .5.

Use a calculator to evaluate and we get:

[tex](3)(.25)(.5) = .375[/tex]

The probability that the coin lands heads up once and tails up twice is .375, or 3/8.

What must be the measure of Please answer ASAP!

Answers

Answer: 100 degrees

Step-by-step explanation:

URGETN DUE IN 20 MINUTES PLEASE HELP. Tammy went to Outback for dinner, and took Sue with her. The total bill cost $68.72. Service
was good so they left a 22% tip. If they split the bill, what did each of them pay for dinner.

Answers

Answer:

Step-by-step explanation:

find the tip  

68.72 *   0.22  (22%)  = 15.1184

I was hoping that 68.72 + 15.1184 would equal a nice round number,  like if it had been 80 total, then they both could have dropped 40 dollars.  which would make sense, and is probably what would really happen.  But this is math,  :D  and it really doesn't have to make sense, it just has to be accurate.  

so 68.72+15.12 = 83.84

83.84 / 2 =41.92  they each paid  41.92  or for crying out loud, would they really dig around for 92 cents?  just give the waiter  one whole dollar.  So for accuracy they would each pay $41.92, but really  they would each pay 42.00 dollars.. and to even be more real.   they would each pay $40.00

The amount of time (t) in minutes it takes to make a coffee at Starbucks is related to (n) the number of coffees purchased. The equation is t = 2n − 3. How long does it take if a customer buys 5 coffees?

A. 13 minutes
B. 7 minutes
C. 4 minutes
D. None of these choices are correct.

Answers

Answer:

7 minutes

Step-by-step explanation:

[tex]t=2n-3[/tex]

[tex]when\ n=5[/tex]

[tex]t=2\times 5-3=7\ minutes[/tex]

I hope this helps you

:)

How do you write 0.327 as a percentage

Answers

You would write 0.327 as 33%, rounding up.
you multiply it by 100, so the answer is 32.7%

A 5.0 µC point charge is moved within an electric field and has an electric potential energy change of 10.0 J. What is the electric potential difference before and after the charge was moved? Show work. (µC = 1.0 × 10–6)

Answers

For a 5.0 µC point charge moved within an electric field, the electric potential difference is mathematically given as

du=2*10^6

What is the electric potential difference before and after the charge was moved?

Generally, the equation for the change in potential energy is mathematically given as

dV=qdu

Therefore

10=5*10^{-6}*du

du=2*10^6

In conclusion, the electric potential difference

du=2*10^6

Read more about Electric

https://brainly.com/question/9383604

At which point is air pressure lowest? The image shows a representation of mountains of various heights, numbered 1, 2, and 3. The plain is labeled number 4. 0 1 2. 03 4 1 2 3​

Answers

From the given image, the air pressure will be lowest at the highest altitude in the image.

What is air pressure?

Air pressure or atmospheric pressure is the pressure within the atmosphere of Earth.

This air pressure increases with decrease in altitude but decreases with increase in altitude.

Therefore we can conclude the following, from the given image, the air pressure will be lowest at the highest altitude and maxiumum at the least altiutude.

Learn more about air pressure here: https://brainly.com/question/2353923

Answer: The answer is: 1

Step-by-step explanation: The higher you are the more the air pressure lowers. I have my ways ;>

Have a great day!

-Sunny

Help me please I don't know the answer ​

Answers

Asia has the highest predicted number of inhabitants with 3549

Find the volume of the triangular prism

Answers

Answer:

70

Step-by-step explanation:

5*4*7=140/2=70

what is the volume of a cone with a base radius of 5 m and a height of 12 m

Answers

Volume of a cone = [(pi)r^2(h)]:3 = [3.14 (25m^2)(12m)]:3 = 314in^3.

Paola made a rectangular painting that has an area of 24 square feet. He now wants to make a similar

painting that has dimensions that are 2/3 the size of the original. What will the area of the new painting

be?


A. ) 36 square feet


B. ) 16 square feet


C. )12 square feet


D. ) 10 2/3 square feet

Answers

Answer:
D.) 10 2/3 square feet
Step-by-step explanation:
The area will change by
multiply the area by 4/9 and you get 32/3 = 10 and 2/3 (because 10 = 30/3)

Sally uses the pattern rule y = 4 + b to generate the first three outputs in the pattern. Which of the following is the fifth output in the pattern?
Captionless Image
5
9
8
10

Answers

Answer:

9

Step-by-step explanation:

y = 4 + b

Output is y

Input is b

We are asked to find out what we get if we input 5.

y = 4 + 5

4 + 5 = 9

y = 9

9 is the fifth output

A microwave is placed on top of two boxes. One box is 2 feet 10 inches tall, the other box is 4 feet 7 inches tall, and the microwave is 3 feet 4 inches tall. How tall are they combined? Write your answer in feet and inches. Use a number less than 12 for inches.

Answers

Answer:

10 feet 9 inches.

Step-by-step explanation:

(24+10)+(48+7)+(36+4)

34+55+40

129 inches

10 feet 9 inches

A total of 76 students respond to a survey about transportation to school. Of the girls surveyed, 22 walk to school and 29 get a ride. Of the 25 boys surveyed, 9 get a ride to school. What is the total number of students who walk to school?

Answers

Answer:

22+16 = 38

38 students walk to school

Step-by-step explanation:

Answer: 38 students walk to school

Step-by-step explanation:

Given Information

Total number of students = 76 students

Total number of girls = 22 + 29 = 51 students

Total number of boys = 25 students

Number of students walking to school:

Boys = ?Girls = 22

Number of students getting a ride:

Boys = 9Girls = 29

Find the number of boys that walk to school

 Total number - getting a ride

= 25 - 9

= 16 students

Find the total number of students who walk to school

 Number of boys + Number of girls

= 16 + 22

= [tex]\boxed{38\:students}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

A store uses binary numbers to assign a unique binary sequence to each item in its inventory. What is the minimum number of bits required for each binary sequence if the store has between 75 and 100 items in its inventory?.

Answers

Answer:

Introduction:

Binary numbers are used by different departmental stores to keep track of their inventory.

Explanation:

For this the minimum binary numbers should be 8 bits which can represent 256 unique values.

If a store needs to represent its inventory items between 25 to 75, it should use at least 8 bits which can formulate a eight bit number for every item.

Conclusion:

Therefore the correct answer is d. 8

Step-by-step explanation:

Find the gradients of lines a and b ( first to do gets brainlist)

Answers

Answer:

A = 4

B = -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Line A: gradient = 8/2 = 4.

Line B: gradient = -12/6 = -2.

Carson rode his bike for 3 3/4 miles on Wednesday. On Thursday, he biked 1 1/2 times as far as on Wednesday. How many miles did Carson bike on Thursday?

Answers

Answer: 7½ miles

Step-by-step explanation:

15/4× 3/2 = 45/6

Consider the system of equations.

4x−3y=−22x+3y=6
Which property could be used to write the equation 6x = 4 as the first step to solving the system of equations?


Division Property of Equality

Distributive Property of Equality

Substitution Property of Equality

Addition Property of Equality

Answers

Answer:

Addition Property of Equality

Step-by-step explanation:

I know because I just took the test and that if you added both problems together you would get 6x=4.

help pls fast
Each week, Bailey earns $12 per hour for the first 40 hours she works, and $18 for each hour of work after 40 hours. Her weekly earnings are a function of the amount of time she works.


Which function models the amount of money that Bailey earns?

the answers are graphs

Answers

The function model for the amount of the money that Bailey earns is,

Regular earning +overtime pay=total earnings.

We have given that the

12$ =1hours

first 40 hours in a week

and  18$ for each hour after a week.

We have to determine the function models the amount of money that bailey earns

What is the formula for regular earning?

regular hour × regular rate=regular eaning

40(12)=480$

overtime hours × overtime rate=overtime pay

Regular earning +overtime pay=total earnings

Here we don't know the overtime hours

Therefore we are unable to calculate total earnings.

The function model for the amount of the money that Bailey earns is,

Regular earning +overtime pay=total earnings.

To learn more about the earnings visit:

https://brainly.com/question/26282268

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Find the TOTAL AREA INSIDE OF THIS FIGURE, the letter H

Answers

Answer:

31

Step-by-step explanation:

Multiply 7•2 which is 14, then multiply that by 2 so 14•2 because the sides are symmetrical, and that would be 28. After that you subtract 7-(3+3) to get the length of the center piece, and that would be 1, and multiply that by 3 which is 3. After that you add 28+3 and that's 31

Determine whether the sequence converges or diverges. If it converges, give the limit.


9, 27, 81, 243,

Answers

The sequence diverges because the value of the absolute common ratio r is greater than the 1.

What is convergent of a series?

A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.

We have series:

9, 27, 81, 243....

The above series is a geometric progression with common ratio r is 3

[tex]\rm r =\dfrac{27}{9}[/tex]

r = 3

We know the formula for a geometric sequence:

[tex]\rm S_n = 9(3)^n[/tex]

[tex]\rm S_n = 3^{n+2}[/tex]

A geometric series converges only if the absolute value of the common ratio:

r < 1  and

It diverges if the ratio ≥ 1

Here the value of r = 3 which is greater than the 1 so the sequence diverges.

Thus, the sequence diverges because the value of the absolute common ratio r is greater than the 1.

Learn more about the convergent of a series here:

brainly.com/question/15415793

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Multiply and simplify the product. (3 – 5i)(–2 4i) select the product.

Answers

Answer:

120i(squared)-72i

Step-by-step explanation:

(3−5x)(−24x)

=(3+−5x)(−24x)

=(3)(−24x)+(−5x)(−24x)

=−72x+120x2

=120x2−72x

Answer:

B

Step-by-step explanation:

14+22i

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