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

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Answers

Answer:

125°

Step-by-step explanation:

By exterior angle theorem:

(3x - 70)° = 60° + x°

(3x - 70)° - x°= 60°

(3x - 70 - x)° = 60°

(2x - 70)° = 60°

2x - 70 = 60

2x = 60 + 70

2x = 130

x = 130/2

x = 65

(3x - 70)° = (3*65 - 70)° = (195 - 70)° = 125°

[tex] m\angle LKM = 125\degree [/tex]

Which of the following values is not in the domain of y = tanx?

(-pi/2)
0
pi
(-pi/4)

Answers

Answer:

(-pi/4)

Step-by-step explanation:

-16(x - 6) -4
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s t u p i d study island :') uωu`

Answers

Answer:

i  think it is c but i am probably super wrong

Step-by-step explanation:

Factor.
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Answers

Answer:

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Step-by-step explanation:

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Answers

2(x+3) = 7
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6(x + 4) = 27

Answers

Answer:

1 is correct

2 is incorrect

3 is incorrect

4 is incorrect

5 is correct

Step-by-step explanation:

1. 2(0.5+3) = 1+6 = 7

2. 1/2(0.5+3) = 1/4+3/2 = 7/4

3. 6(0.5+4) = 27

4. 1/6(0.5+4) = 0.75

5. 6(0.5+4) = 27

A photograph measures 10 cm by 18 cm
The photograph is enlarged by a scale factor of 1.5
(a)
Work out the new dimensions.

Answers

10x1.5 is 15
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WILL MARK BRAINISETS IF ITS RIGHT PLS ANSWER​

Answers

Answer:

livestock

Step-by-step explanation:

i think

URGENT HELP!
is it
A)ASA
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C)AA
D)SAS
for each of the three triangles?

Answers

1Sas
2.Aa
3.SSS. Hufuibgjhvghtt hit s

Change this Mixed number into a improper fractions: 3 and 6/8

Answers

Answer:

30/8

Step-by-step explanation:

The full impact of her rash decision had yet to be seen

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Answers

The answer is A
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Answers

Answer:

yes

Step-by-step explanation:

if you add 2+3 it will be five and 6+5 equals 11 so yes

Answer:

Yes.

Step-by-step explanation:

6+2+3=11

8+3=11

Therefore, both equations are equal.

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Answers

Answer: 1/2

Step-by-step explanation:

Answer:

The slope is -[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The rate of change (the slope) is up one and left two, which would be [tex]\frac{1}{-2}[/tex] or just -[tex]\frac{1}{2}[/tex].

I would appreciate brainliest but if not that's ok!

Hiiioo please help me:)

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Answers

Answer:

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Step-by-step explanation:

David is buying a cheese wheel priced at \$14$14dollar sign, 14 before tax. The store charges 8\%8%8, percent sales tax.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Given the equation, 3x + y = 2, solve for y

Answers

your answer will be y=-3x+2

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Step-by-step explanation:

Subtract 3x on both sides, y=-3x+2, that's the most you can do.  

36% of 110 is what number?

Answers

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I hope I helped!!!

8m = 3.2

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Please show steps thanks so much

Answers

Answer:

0.4

Step-by-step explanation:

8m = 3.2

divide both sides by 8

m = 0.4

Answer:

m=0.4

Step-by-step explanation: i got it right on my test

What is the first step in solving the equation: 3(x+2) = 12?

Answers

Answer:

Divide by 3 on both sides.

Step-by-step explanation:

Original Expression: 3(x+2) = 12

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Subtract 2 from both sides: x=2

Let me know if this helps!

for what value of x is f(x) = 5 - 12x equal to 29?

Answers

Answer:

5-12x=29

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Answers

Answer:

Can not be determined  

Step-by-step explanation:

help please ?

A.62.8
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Step-by-step explanation:

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Answers

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Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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D. For every 3 pages there are 5 errors.

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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answer: 25/6.

in mix fraction ot would be, 4 1/6

and in decimal from it will be, 4.166667.

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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