The perimeter of a rectangle is 120 centimeters. The base is 3 times the height. What are the dimensions of the rectangle? a. h = 9cm, b = 18 cm c. h = 15 cm, b = 45 cm b. h = 19 cm, b = 57 cm d. h = 10 cm, b = 15 cm

Answers

Answer 1

Answer:

[tex]Height = 15[/tex]

[tex]Base = 45[/tex]

Step-by-step explanation:

Given

Shape: Rectangle

[tex]Perimeter = 120cm[/tex]

[tex]Base = 3 * Height[/tex]

Required

Determine the dimensions

The perimeter of a rectangle is:

[tex]Perimeter = 2 * (Base + Height)[/tex]

Substitute 120 for Perimeter

[tex]120 = 2 * (Base + Height)[/tex]

Divide both sides by 2

[tex]60 = Base + Height[/tex]

Substitute 3 * Height for Base

[tex]60 = 3 * Height + Height[/tex]

[tex]60 = 3Height + Height[/tex]

[tex]60 = 4Height[/tex]

Divide both sides by 4

[tex]15 = Height[/tex]

[tex]Height = 15[/tex]

Substitute 15 for Height in [tex]Base = 3 * Height[/tex]

[tex]Base = 3 * 15[/tex]

[tex]Base = 45[/tex]


Related Questions

y’all what is this evaluated ?

Answers

Answer:

sorry siso don't know the answer sorry ☹☹

Answer:

B = 200

Step-by-step explanation:

Cross multiply

10(20) = 200

pls help the question is down there

Answers

Answer: 58in^2

Step-by-step explanation:

This is the most reasonable answer.

Jordan drives for three hours at an average of 60 miles per hour what is the distance in miles he drives during that time

Answers

Answer:

180 miles

Step-by-step explanation:

1. Use the drt (distance, rate, time) triangle (shown in the picture) to determine which operation you need to do.

You are given t (time) and r (rate), but you don't have d (distance). What you do is cover up the missing variable d (distance). Since you are left with t and r (time and rate), which are side by side, you multiply the numbers.

2. Plug in the numbers for t and r. Then multiply.

t=3

r=60

3 x 60 = 180 miles

If Eric has 60 cupcakes and 12 of the cupcakes are vanilla. What percent of the cupcakes are vanilla?

Answers

There are 20% of vanilla cupcakes

Mrs.owens bought two candles for her dining room table. She paid with a $100 bill and received $32.16 in change. If sales tax is charged at a rate of 6% what was the price for one candle holder before taxes?

Answers

6% would typically be 6cents to every dollar so that’s odd. Any who
100-32.16=67.84/2=33.92
Then remove taxes per candle
33.92 has 2.04 for tax 6% = 6cents or 0.06
33.92-2.04=33.88 without tax per candle
Answer: 33.88$

The price for one candle holder before taxes is $30.88.

What is a tax?

It is an amount of money that a government requires people to pay according to their income, the value of their property, etc., and that is used to pay for the things done by the government.

The total payment including tax is $100.

The change received is $32.16.

The rate of sale tax is 6%.

The cost of one candle including tax is given by

(100 - 32.16) / 2 = 32.92

6% of a candle is given by

32.92 * 0.06 = 2.0352

The cost of one candle without tax is given by

32.92 - 2.0352 = 30.88

Hence, the cost of one candle without tax is $30.88.

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Please help with this

Answers

Answer:

Alternate interior angles or

Congruent

Step-by-step explanation:

Angle 3 and angle 6 are alternate interior angles

Alternate interior angles are congruent

please answer fast!!
I am really confused and I don't know what to do.

Answers

Answer:

C

Step-by-step explanation:

LESSON 7 DEVELOP
MODEL IT: PLACE-VALUE CHARTS
Use place-value charts to show multiplying and dividing by powers of 10.
3 Complete each row with the product shown to the right of that row.
Ones
Tenths
Hundredths
Thousandths
.
0
0
0
5
.
0.005 X 10'
0.005 X 102
0.005 X 10
4 Complete each row with the quotient shown to the right of that row.
Ones
Tenths
Hundredths
Thousandths
DIS
5
0
.
0
0
5 + 10
How
digits
the do
when
5 - 102
any d
5 - 10
I thin

Answers

Hundredths, i believe

find the value of
tan 45º . tan- 30° tan 60°​

Answers

Answer:

Find the exact value of tan 45º = 1/1 = 1.

Find the exact value of cos 30º = √3/2.

Find the exact value of csc 60º = 2√(3)/3

Step-by-step explanation:

math

A ladder 5 m long, leaning against a vertical wall makes
an angle of 65° with the ground. How far up the wall is
the top of the ladder?

Answers

The height of the top of the ladder from the ground is 4.53 m

Step-by-step explanation:

Given:

length of ladder =5 m

Angle formed = 65°

Let h be the Height of the top of the ladder from the ground

Required:

Height of the top of the ladder from the ground

Equation:

SOH-CAH-TOA

Since the hypotenuse side is given and what we are to solve is the opposite side, use SOH

[tex]sinθ\:=\: \frac{opposite}{hypotenuse}[/tex]

[tex]sin(65°)\:=\: \frac{opposite}{5\: m}[/tex]

[tex]opposite\:=\:(5 \:m )\:sin(65°)[/tex]

[tex]opposite\:=\:4.53 \:m[/tex]

Final Answer:The height of the top of the ladder from the ground is 4.53 m

Please refer to the photo for the illustration

Write a numerical expression for the word expression.

The difference between 41 and 19

Answers

Answer:

I believe the answer is

[tex]41 - 19[/tex]

Step-by-step explanation:

hope this helps!

✧◝(⁰▿⁰)◜✧

I REALLY NEED HELP WITH 5 THROUGH 8

Answers

Answer:

Prime factors of 44: 2, 2, 11

44 =  2 × 2 × 11

=  22 × 11

Factor tree:

44

| \  

22   2

| \  

11   2

Step-by-step explanation: I just did the assignment.

An ant bed contains about 230 ants. If there are 6 of these beds on the playground, how many ants are there?​

Answers

Multiply number of ants per bed by number of beds.

230 ants x 6 beds = 1,380 total ants

the answer I got was 1,380

FinWhat is the perimeter of the triangle in the graph? Round your answer to the nearest tenth if necessary. (1 point) 8.9 8.0 12.9 8.5d the missing y-coordinate that makes the two triangles congruent. Triangle ABC: A(8,4), B(2,6), C(5, 0) Triangle MNO: M(7,4), N(1,2), O(4, y)

Answers

Answer:

man did you ever find out the answer bc I'm dying I cannot fail this test-

Answer:

12.9

Step-by-step explanation:

it is common sense

also i just took test

what is this


h divide 4 = 9​

Answers

Answer: 36÷4=9

Step-by-step explanation:

Jessica is walking home from a friend's house. After two minutes she is 0.8 miles from home. Eight minutes after leaving, she is 0.3 miles from home. What is her rate in miles per hour?

Answers

6mph 6mph gotchu bro

PLEASE HELP i’ll mark brainliest !!

Answers

Answer:

180-62=118

Step-by-step explanation:

ab=ac means that they are all equal now you know that c=62 angle on a straight line adds up to 180 so you subtract 180 to 62

If three-fifths of seventh-grade class has missed at least one day of school, what percentage of 7th grade has missed at least a day of school?

Answers

The percentage of 7th grade class who has missed at least a day of school is 60 percentage.

What is percentage?

A percentage is a number or ratio expressed as a fraction of 100.

It is usually represented by using the symbol %

Given data ,

Fraction of 7th grade class that missed at least one day of school = 3 / 5

Now , to calculate the percentage of 7th grade that has missed at least one day of school , we multiply the fraction by 100

Therefore , Percentage = 3 / 5 x 100 %

                                       = 3 x 20 %

                                       = 60 %

Hence , the percentage of 7th grade class who has missed at least a day of school is 60 percentage.

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what is the value of x?

Answers

Answer: The horizontal value in a pair of coordinates how far along the point is. The X Coordinate is always written first in an ordered pair of coordinate (x,y), such as (12, 5).

Step-by-step explanation: Hope This Helps :)

For a example, the value 12 is the X coordinate. And Also called Abscissa.                              

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown".

A clothing company produced 600 items of clothing. Of those, 15% were jackets, 25% were dresses, and 15% were shoes. How many of the items of clothing were NOT jackets, dresses, or shoes?

Answers

Answer:

270 items

Step-by-step explanation:

Answer:

270 of them were not jackets dresses or shoes

Step-by-step explanation:

urgent please help :c​

Answers

Answer:

that looks fun and easy

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Tyler mows 7 lawns every week. He earns $10 for mowing each lawn. How much will he earn in 6 weeks?

Answers

Answer:

The Answer Would Be $420

Step-by-step explanation:

time 7 by 10 and get 70,

times 70 by 6 to get your final answer of $420

a circle has a diameter of 7.6 feet

Answers

The actual calculation for the circumference is 23.864 ft, so whichever answer is closest to that should be correct

In a survey, 48% of the people questioned said they watch sports on television. Were there more people who said they watch sports or more who said they do not?

Answers

Answer:

more people said they do not watch sports

Step-by-step explanation:

Becasue 52 percent say they dont watch

The graph below shows the distance, y, that a car traveled in x hours:

A graph is shown with x axis title as Time in hours. The title on the y axis is Distance Traveled in miles. The values on the x axis are from 0 to 5 in increments of 1 for each grid line. The values on the y axis are from 0 to 225 in increments of 45 for each grid line. A line is shown connecting ordered pairs 1, 45 and 2, 90 and 3, 135 and 4, 180. The title of the graph is Rate of Travel.

What is the rate of change for the relationship represented in the graph?


90
45
fraction 1 over 45
fraction 1 over 90

Answers

Answer:

45

Step-by-step explanation:

because it increases by 45 each hour

sorry i was late

:(

Which of the following correctly shows the distributive property?
A 4(x + 5) = 5(x + 4)
B
4(x + 5) = (4)(x) + 5
с
4(x + 5) = x + (4)(5)
D
4(x + 5) = (4)(x) + (4)(5)


Plsssss I need help

Answers

The distributive property is when you use the number on the outside of the parentheses to multiply the numbers on the inside of parentheses. This is usually used when the option is given and there is a variable inside.

Now onto the question, 4(x + 5)

We can actually break this down into parts so it’s not just one thing.

(4)(x) + (4)(5) would be the broken down form.

Thus, the answer to your question is:
D. 4(x + 5) = (4)(x) + (4)(5)

How can you use a table of data to write and graph a linear relationship?

Answers

Answer:

Hope this answers will help you

Step-by-step explanation:

If you find it appropriate then plz mark it as brainlist plzzzzz

Work out 77 % of 775.66 m Give your answer rounded to 2 DP.

Answers

Answer:

597.25 m

Step-by-step explanation:

We need to find 77% of 775.66 m.

It can be calculated as follows :

[tex]77\%\times 775.66\\\\=\dfrac{77}{100}\times 775.66\\\\=597.25\ m[/tex]

So, 77% of 775.66 m is equal to 597.25 m.

please give correct answer <3 :(

Answers

Answer:

216g^3

Step-by-step explanation:

6g^3 g^3

6g^3 = 6g * 6g * 6g = 216g^3

Answer:

[tex]216g^{3}[/tex]

Step-by-step explanation:

6^3 x g^3=

6^3=216

216g^3

Nicole and all of her co-workers wear blue uniforms. Andrew works with Nicole. Olivia does not wear a blue uniform. Everyone who wears a blue uniform also wears a white shirt .

Which statement must be true?

A. Olivia wears a white shirt
B. Olivia does not work with Nicole
C. Some of Nicole's co-workers do not wear white shirts
D. Olivia is a co-worker of Nicole
E. Nicole does not wear a white shirt

Answers

The answer is A because she dose not wear a blue shirt and it said if they don’t wear a blue shirt they wear a white shirt so Olivia wears a white shirt

The correct statement which satisfies the given condition will be that Olivia does not work with Nicole so option (B) will be correct.

What is the reasoning?

the procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.

In another word, the reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.

Given that Olivia does not wear a blue uniform.

All co-workers wear blue uniform

It mean olivia doest not work with Nicola.

Hence  Olivia does not work with Nicole will be the correct answer.

For more about reasoning,

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