A 50 foot ladder is set against the side of a house so that it reaches up 48 feet. If Shaniece grabs the ladder at its base and pulls it 10 feet farther from the house, how far up the side of the house will the ladder reach now? Round to the nearest tenth of a foot.

Answers

Answer 1

Answer: 43.9

Step-by-step explanation:

a

2

+

(

24

)

2

=

a

2

+(24)

2

=

5

0

2

50

2

Use the Pythagorean Theorem.

a

2

+

576

=

a

2

+576=

2500

2500

Simplify.

576

−576=

576

−576

Subtract 576 from both sides.

a

2

=

a

2

=

1924

1924

a

2

=

a

2

=

±

1924

±

1924

Square root both sides.

a

=

a=

43.863424...

43.863424...

Simplify. Ignore negative root, as length must be positive.

a

a≈

43.9

43.9

Round to the nearest tenth.

Answer 2

The ladder will reach 43.9 feet of the house.

What is the Pythagorean theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given that, the height of the ladder is 50 feet and it reaches 48 feet of the house.

Note that the ladder the base and the side wall together make a right triangle whose hypotenuse is the ladder itself.

Therefore, the base of the right triangle is given by:
b² = 50² - 48²

b² = 196

b = 14

Now, the base is dragged by 10 feet, so the base of the new triangle is:
bₙ = 14 + 10

bₙ = 24

The height of the new triangle is:
hₙ = √(50² - 24²)

hₙ = √1924

hₙ = 43.9

Hence, the ladder will reach 43.9 feet of the house.

Learn more about the Pythagorean thoerem:

https://brainly.com/question/16307146

#SPJ2


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Answer:

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Step-by-step explanation:

250 = 100%

210 = x

250x = 21000

x = 84

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Answer:

A,B,D,E

Step-by-step explanation:

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Step-by-step explanation:

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x<5

Step-by-step explanation:

(3x<15)

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x<15/3

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x<5

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Answers

Answer:

I just had a quiz on this. So here's your answer:

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Answers

Answer:

256square units

Step-by-step explanation:

Since we are not given a diagram. Let us assume the side length of the given square is 8 units

If the  the square is enlarged by a scale factor of 2, the side length of the new square will be 2 * 8 = 16units

Since area of a square = L²

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Answers

25 square feet
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Answer:

10 square feet

Step-by-step explanation:

Find out the answer by square rooting 100

100 square rooted = 10

Megan is planning a surprise dinner for her best friend. She has a set budget of $260. The venue charges
a flat fee of $25 for the reservation and they are going to charge her $15 a person. How many people can
Megan invite at most?

Answers

Answer:

16 people

Step-by-step explanation:

The equation you should set up for this problem is 260 = 15x+20, and x for the each person that Megan invites.

Simplify the equation to 240 = 15x, so x = 16

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Answers

Answer:

.86

Step-by-step explanation:

Exponential function formula

[tex]y = a ( 1 + or - r ) ^t[/tex]

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r = rate of change

and t = number of years

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Jennifer made an apple pie and a cherry pie that she will sell at the school's bake sale. Both pies are shaped like cylinders. The apple pie has a diameter of 10 inches and a height of 2 inches. What is the volume of the apple pie?
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Use ​≈3.14 and round your answer to the nearest whole number.
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Round your answer to the nearest whole number.
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Answers

Answer:

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Part B. The volume of the cherry pie is 127.23 or 127 rounded.

Part C. The total volume is 284.31 or 284 rounded.

Step-by-step explanation:

Hope this helps! :)

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The student council at Greenwood High School is making T-shirts to sell for a fundraiser, at a price of $18 apiece. The costs, meanwhile, are $10 per shirt, plus a setup fee of $40. Selling a certain number of shirts will allow the student council to cover their costs. How many shirts must be sold?

Answers

Answer:

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Step-by-step explanation:

98 + 8x = 10x

98 = 2x

49 = x

98 + 8(49) = $490 in costs

49 shirts sold                                                                                                                                  

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Answers

Given:

Marked price of t-shirt = 420

Discount rate = 20%

To find:

The price of the t-shirt after discount.

Solution:

The  price of the t-shirt after discount is 20% of less than the marked price of it.

Price of the t-shirt after discount = Marked price - 20% of Marked price

                                                     = [tex]420-\dfrac{20}{100}\times 420[/tex]

                                                     = [tex]420-84[/tex]

                                                     = [tex]336[/tex]

Therefore, the price of the t-shirt after discount is P336.

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Consider the exponential functions f, g, and h, defined as shown.

function f function g function h
f(x) = -2(3)x + 6
x g(x)
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1 16
2 64
3 256


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Step-by-step explanation:

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PLZZZZZZ
1. When companies publicize a study that supports their product, they often include a notice that the research was conducted by an independent or otherwise unaffiliated research group. In your opinion, how important is it that such studies are conducted by an outside research group, and not company employees? Would you trust a study conducted by company employees? What factors might influence your decision? (15 points: 10 for your answer, 5 for response to others' comments.) 2. Results of different research studies are often cited in the media to support arguments on both sides of a controversial topic. Can you describe a situation where each side of a debate presented research studies that investigated the same questions but came to opposite conclusions? Can you recall an example when the same study was used to support opposing arguments? Which side of the debate were you more inclined to believe and why? (15 points: 10 for your answer 5 for response to others comments)

Answers

Answer:

It's important such that there is more liable information when they conducted a research outside research because they don't know more about the company, Yes , i may trust the research conducted by the employees if only i can observation their research and know there is no such mistakes because they are employees in the company.

It is important that the research is made by an outside group in order to avoid bias.

What is a research?

It should be noted that a research simply means an investigation to get more information about a particular topic.

In this case, it is important that the research is made by an outside group in order to avoid bias. This will bring about reliability of the information.

Learn more about research on:

https://brainly.com/question/25257437

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Answers

Answer:

<DOE= 25

<AOE=145

<COB=90

BC=90

EA=145

ACE=235

Step-by-step explanation:

same thing as the last question :)

Solve. 382.04 – 6.3 *
Help

Answers

                  7 11  10

               3 8 2 . 0 4

           -         6 . 3

          ------------------

               3 7 5 . 7 4

Answer:

375.74

Step-by-step explanation:

The explanation are in the picture.

Find the value of x in the triangle

Answers

Answer:

√41

Step-by-step explanation:

Use a² + b² = c²

a = 4

b = 5

4² + 5² = c²

4² = 16

5² = 25

16 + 25 = c²

41 = c²

You need to get ² away from c, so square root both sides.

√41 = √c²

√41 = c

√41 is in its simplest form, so it is left as √41.

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