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uysha [10]
2 years ago
14

Suppose an identical ladder was put against a building that was 18 feet high and the ladder reached the top of the building. How

far away would the bottom of the ladder be from the base of the building? Round your answer to the nearest tenth.

Mathematics
1 answer:
nikdorinn [45]2 years ago
7 0

The distance between the bottom of the ladder be from the base of the building will be 17.32 ft.

<h3>What is the Pythagorean theorem?</h3>

It states that in the right-angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.

As we can see in the figure the length of the ladder is 20 ft and the base of the ladder is 10 ft from the base of the building.

By using the Pythagorean theorem we will calculate the distance between the tip of the ladder and the base of the building.

H² = 20² - 10²

H²= 400 - 300

H² = 300

H = √300

H = 17.32 ft.

Therefore the distance between the bottom of the ladder is from the base of the building will be 17.32 ft.

To know more about the Pythagorean theorem follow

brainly.com/question/343682

#SPJ1

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A department​ store, on​ average, has daily sales of ​$28 comma 286.28. The standard deviation of sales is ​$1 comma 500. On​ Tu
wolverine [178]

Answer:

z-score = 4.43,

It is a Good day

Step-by-step explanation:

The provided information is:

Mean = $28,286.28

Standard deviation = $1,500

Let x be the sell of department store on Tuesday.

Then, x = $34,924.62

The z-score is define as:

z=\dfrac{x-\mu}{\sigma}\\\\=\dfrac{34924.62-28286.28}{1500}\\\\=4.43      

Thus, the Tuesday's z-score is 4.43. So this is usually good day.

3 0
3 years ago
What does y <br> equal in this equation<br> 22-16=y+16-16
scoray [572]

Answer:

y = 6

Step-by-step explanation:

7 0
3 years ago
Solve for x rounded to the nearest hundredth: 10 - 3x = 5
igomit [66]

Answer:

x = 5/3

Step-by-step explanation:

You ALWAYS want your term to be by itself!! So what you need to do is move your constant away from it.

Step 1: Adjust as needed, subtract 10 from both sides of your equation. It should end up like this.

-3x = 5 - 10

Step 2: Solve as needed before continuing equation.

-3x = -5

Step 3: Now you need to get your term by itself. You should divide -3 on both sides of your equation so you should get something like this.

x = -5 / -3

Step 4: You're basically done now! Just simplify! NEGATIVES CROSS EACH OTHER OUT!!!

x = 5/3 OR 1.6

<em>KEY:</em>

<em>Negative and Negative = Positive</em>

<em>Negative and Positive = Negative</em>

<em>Positive and Positive = Positive</em>

4 0
3 years ago
Marshall wants to buy a picture frame. The original price is $15,
lakkis [162]
15x.25=3.75
15-3.75=11.25.

The answer is $11.25
4 0
2 years ago
Solve for x. Leave your answer in simplest radical form.
strojnjashka [21]

There are two Right angled triangles in the given figure, with two missing sides, let's name the other missing side be " y "

According to Pythagoras theorem,

\boxed{ \large \boxed{h {}^{2}  =  {b}^{2} + p{}^{2}  }}

note :

  • p = perpendicular / opposite side
  • b = base / adjacent side
  • h = hypotenuse

let's solve for " y² " first ( square of other missing side )

➢ \:  \:  {y}^{2}  =  {8}^{2}  + 3 {}^{2}

➢ \:  \:  {y}^{2}  = 64 + 9

➢ \:  \:  {y}^{2}  = 73

now let's solve for " x " , by using pythagorous theorem

➢ \:  \:  {x}^{2}  =  {y}^{2}  +  {6}^{2}

➢ \:  \:  {x}^{2}  = 73 + 36

➢ \:  \:x {}^{2}  =  109

➢ \:  \: x =  \sqrt{109}

Approximate :

➢ \:  \: 10.44 \:  \: units

\mathrm{✌TeeNForeveR✌}

5 0
3 years ago
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