Mathematics High School

Lucas has a 39-foot-long rope. He uses all the rope to outline this T-shape in his backyard. All the angles in the figure are right angles. (Work out and answer number 13 and number 14, please.)

Lucas Has A 39-foot-long Rope. He Uses All The Rope To Outline This T-shape In His Backyard. All The

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The area of a shape is the amount of space it can occupy, while the perimeter is the sum of its sides.

The value of x is 7.5 ftThe area of the shape is 57 square feet

Given that:

[tex]P = 39[/tex] --- the perimeter of the shape

The value of x

The perimeter is the sum of all sides.

So, we have:

[tex]P = x + x + 3.5 + 3.5 + 3 + 3 + 9 + (9 - 3.5 - 3.5)[/tex]

Substitute 39 for P

[tex]x + x + 3.5 + 3.5 + 3 + 3 + 9 + (9 - 3.5 - 3.5) = 39[/tex]

[tex]2x + 24 = 39[/tex]

Collect like terms

[tex]2x = -24 + 39[/tex]

[tex]2x = 15[/tex]

Divide through by 2

[tex]x = 7.5[/tex]

The area of the shape

The shape can be divided into two rectangles

A 9ft by 3ft rectangleA (9 - 3.5 - 3.5)ft by x ft rectangle

So, the area of the shape is:

[tex]Area = 9ft \times 3ft + (9 - 3.5 - 3.5)ft \times x ft[/tex]

[tex]Area = 27ft^2 + 2ft \times x ft[/tex]

Substitute [tex]x = 7.5[/tex]

[tex]Area = 27ft^2 + 2ft \times 15 ft[/tex]

[tex]Area = 27ft^2 + 30 ft^2[/tex]

[tex]Area = 57 ft^2[/tex]

Hence, the area of the shape is 57 square feet.

Read more about areas and perimeters at:

https://brainly.com/question/16103242

Related Questions

Mandy paid $9.84 for 3 pounds of ground meat. What is the price per pound?

Answers

Answer:

$3.28 wait for more responses if needed

Step-by-step explanation:

9.84 divided by 3 would be 3.28

Answer:

3.28 per pound

Step-by-step explanation:

All you have to do is divide 9.84 by 3 to see how much Mandy paid per pound.

Hope this helps!!!

help me pleaseeeeee!!!!!

Answers

Answer:

The triangle is an isosceles triangle

Isosceles. In geometry, an isosceles triangle is a triangle that has two sides of equal length. The lines indicate that the two sides are equal.

She counted the money and found out she has $14.90 in the jar. How many dimes and quarters does she have?

Answers

Answer:

There're too much possibilities of the answer.

Solve the system of equations using the elimination method and enter the value of y.
4x - 5y = -9
- 4x+y=-7
y =

Answers

i think it is y= 9/5 + 4x/5

help me please and thank you!​

Answers

7^6 is the correct answer

What is the quotient?
- -2

Answers

Answer: You need 2 terms so there isn't one

The term "quotient" is most commonly used to refer to the ratio of two quantities and , where. . Less commonly, the term quotient is also used to mean the integer part of such a ratio.

Step-by-step explanation:

find m<1
33°
28°
42°
47°

Answers

Answer:

it's answer is 33°

Step-by-step explanation:

116° + 31° + m<1 = 180° [being sum of angles of triangle ]

147° + m< 1 = 180°

m<1 = 180° - 147°

m<1 = 33°

[tex]hope \: i t \: will \: help [/tex]

i don’t understand.
online school is hard

Answers

Answer:

4. [tex]6\sqrt{3}[/tex]

6. [tex]\frac{2\sqrt{6} }{3}[/tex]

8. 23.78

The product of 84.12 and which number will have three decimal places?
4.22
10.51
14.163
19.3

Answers

Answer:

14.163

Step-by-step explanation:

i do not now if that right but

It would be 14.163!

Write an equation in point slope form that passes through the given point and has the given slope.

Point = (-2, 5)

Slope = 4

Answers

y+2=4(x-5) pretty sure

A scientist makes $150,000 per year. She deposits 5% of her yearly income in a travel savings account. How much money should she have in her savings account by the the end of the year in dollars and cents?

Answers

Answer:

the answer is $7,500.00 or 7500

plz mark me as brainly

Step-by-step explanation:

7.602 neastest whole number

Answers

Answer:

8

Step-by-step explanation:

since it's 7.6, the rule of rounding is if it's five or more go up, and 4 or less stays the same. since it's 6, you go up to the nearest whole number, which is 8

Select all of the trips that would take 2 hours.

1. Take a train going 80 miles per hour from Albany to New York City, which are 160 miles apart.

2. Walk 3 miles per hour to school, which is 1.5 miles away.

3.Drive 60 miles per hour between Buffalo and Seneca Falls, which are 120 miles apart.

Answers

Answer:

1 and 3

Step-by-step explanation:

80 (mph) × 2 (hours) = 160 (miles)

60 (mph) × 2 (hours) = 120 (miles)

Which of the following are equivalent to 80 1/2

Answers

Answer:

Sorry but what are the answer choices?

If anything just divide or multiply 80 1/2 by any number and it will give you something equivilent

Step-by-step explanation:

2√20 is the equivalent expression of the value  [tex]80^\frac{1}{2}[/tex].

What is Number system?

A number system is defined as a system of writing to express numbers.

The given expression is [tex]80^\frac{1}{2}[/tex]

We have to find the equivalent expression of  [tex]80^\frac{1}{2}[/tex]

[tex]80^\frac{1}{2}[/tex] can be written in radical form which is √80

80 can be written as 4 times of 20

√4×20

The square root of 4 is 2

So 2√20

Hence, 2√20 is the equivalent expression of the value  [tex]80^\frac{1}{2}[/tex].

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

Sally has a drawer full of pencils and blank papers. She wants to set up her dolls to play school and create work stations that have an equal number of pencils and papers. If Sally has 18 pencils and 24 papers, what is the GREATEST number of workstations she can create?

Answers

It would be 18 one pencil and one paper each.

Good luck hope this helps brainliest would be appreciated
18 because if one station has one pencil that's the greatest amount of stations she can create.

I NEED HELP WITH THIS!!!!

Answers

Answer:

-6r+6

Step-by-step explanation:

1) Remove parentheses

8-6r-2

2) Collect like terms

-6r+(8-2)

3) Simplify

-6r+6

Find the Percent:
A computer is marked up from last
year's model by 12%. If the cost last
year was $1150.00; What is the cost
of the new model?

Answers

Step-by-step explanation:

First, find 12 percent of 1,150,

12 percent of 1,150 = 138.

Now, add 1,150 + 138,

1,150 + 138 = 1,288

Hope I helped, if not, at least I tried.

good at math? & can help!! please :))

Answers

Answer:

D

Step-by-step explanation:

I NEED POINTS AHHHHHHHHHH LOL

Explain the slope and the y-intercept

Answers

The slope is -1 because slope= rise/run and it’s going down 1 right 1. The y-intercept is a point that touches the y axis. In this case the y intersept is 225. Hope this helps!

The scale that maps Figure A onto Figure B is 1:3 1 4 . Enter the value of x.

Answers

Answer:

6710.46x

Step-by-step explanation:

The solution is : the value of x is x = 9.75.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

You need to convert from mixed number to decimal number. To do this you can follow the steps shown below:

Step 1: You must divide the numerator of the fraction by the denominator of the fraction.

Step 2: Now you must add the quotient obtained to the Whole number part.

So, you get:

3 + 1/4

=3 + 0.25

= 3.25

Then, the scale image that maps "Figure a" onto "Figure b" is:

1: 3.25

Finally, in order to find the value of "x", you need to multiply the given length of the corresponding side of "Figure a" by .

Therefore, you get that the result is:

x = 3 * 3.25

or, x = 9.75

Hence, The solution is : the value of x is x = 9.75.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ3

Evaluate the following expressions for x = 2.

–9.2(4 – x)
–9.2(4 – (2))
–9.2(2)


Evaluate the following expression for x = 2.
-36.8 + 9.2x


x

Answers

Answer: both answers are -18.4

Step-by-step explanation: I got it correct on edginuity

Answer:

b b

Step-by-step explanation:

Write an equivalent expression for 5(3h + 2) - 6.

Answers

Answer:

15h + 4

Step-by-step explanation:

5(3h + 2) - 6

Distribute

5 x 3h = 15h

5 x 2 = 10

rewrite equation

15h + 10 - 6

Subract

10 - 6 = 4

Hope This Helps!! :)

15h + 4 that’s the answer to this question.

Please help me outtttt

Answers

Answer:

C

Step-by-step explanation:

The answer is c !!!!!!

Was hit with a hard one. Can someone explain this to me please?

Answers

Answer:

Step-by-step explanation:

Stacey has 4 sheets of paper make cards. Each card requires 1/3 sheet of paper. How many cards can Stacey make?

Answers

Answer:

12 cards

Step-by-step explanation:

there are three 1/3 in a whole piece of paper. if we have 4 sheets and can make 3 cards out of 1 sheet, multiply 3 by 4 and get 12.

Lin's family has completed 80% of a trip. They have traveled 32 miles. How long is the whole trip?

Answers

Answer: 50 miles

Find t:

0.70t = 35. Dividing both sides by 0.70, we get:

35

t = ----------- = 50

0.70

The total trip length is 50 miles.

ANSWER THIS PLZ I NEED HELP

Answers

Hey! Part a is: 3x+4=22
Part b is: x=6 because you multiply the 3x and x is 6.
3(6)+4=22
18+4=22
22=22
Hope this helped

Answer:

a) 3x+4

b) 6×3+4

Step-by-step explanation:

are n/4 and 25n/4 coterminal angles

Answers

yes they are coterminal angles..i hope this helps you

Which expression represents the calculation the sum of x and 8 is divided by 6?

Answers

Answer:

(x + 8) / 6

Step-by-step explanation:

The sum of x and 8, meaning x + 8 is being divided by six, so we group x + 8 in parentheses, and divide by 6 to get the answer

A store down the street is selling a console 50% of from 236.87 if i were to buy the console wit my 490.45 how much money will i get back?

Answers

Answer:

$372.01

Step-by-step explanation:

50% of $236.87 is half of it, which means the console is being sold for $118.44 because:

235.87/2 = 118.435

Round this to the nearest cent:

$118.44

If you have $490.45, and you spend $118.44, it means that you subtract the cost from your own money:

490.45 - 118.44 = 372.01

You will have $372.01 left.

Other Questions
How many players on a football team are allowed on each team? A system of linear equations is graphed belowWhich coordinate point represents the solution?A : (2, 2)B : (0 , 40)C : (40 , 0)D : (20 , 20) What is the total magnification if we using objective lens 4x and our eyepiece (ocular) lens is 10x40x100x400x1000x Find the unit rate for 6 and 2/5 cookies in 4 minutes A bag contains 6 red marbles , 6 purple marbles, and 6 yellow marbles. What is the probability of randomly selecting a yellow marble from the bag? Anya says, "62,996 rounds to 63,000"Select all the places to which she couldhave rounded the number. Answers:onestenshundredsthousandsten thousands What are the parts of the Immune System? calculate the value of 1/3 a = -5 My topic: Should parents monitor their childrens internet activity?Question: What other issues/problems are similar to this topic. What are some of the achievements of the Gupta Empire that still affect society today? Discuss contributions made in mathematics, science, and medicine. Please help. After inhaling the vapor what happened to Pablo He was normal.He was hoarse.He started to sneeze. -) Select all ordered pairs that satisfy the function y = 5x + 3.A.(-3, -37)B.(-5, -22)C.(-8, -37)D.(-5, -12) Why did many politicians In The United States oppose the Louisiana purchase? PLS ANSWER ILL MARK BRAINILEST or however is spelt lol1: Explain in your own words what is nationalism?2: How did nationalism lead to tension between the countries of Europe?3: What are the positive and negative effects that could result when citizens of a nation become nationalistic? Which civilization do the following characteristics belong to?originated in areas around the Andes Mountainsconducted business with their neighbors, the Zapotecsdomesticated animals for the purpose of travel and transportationoriginated in parts of Central AmericaOlmecChavin the solution to the equation? What is AdhesionA. The ability of molecules to stick to molecules that are the sameB. The ability of molecules to stick to any moleculesC. The ability of molecules to not be able to stick to any moleculesD. The ability of molecules to stick to different molecules solve for brainliest Write as a fraction with a whole number divisor: 35.7 0.07 simplify lol.......