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Naily [24]
3 years ago
13

A building is 2ft from a 7 ft fence that surrounds the property. A worker wants to wash a window in the building 11ft from the g

round. He plans to place a ladder over the fence so it rests against the building. He decides he should place the ladder 7ft from the fence for stability. How long of a ladder will he need?
Mathematics
2 answers:
777dan777 [17]3 years ago
4 0

Answer:


Step-by-step explanation:

plug the numbers into the Pythagorean theorem

which is A^2 + B^2 = C^2

elena55 [62]3 years ago
4 0

Answer:

The ladder is approx 14.21 feet long.

Step-by-step explanation:

The base of the ladder is 7 feet from the fence, which is 2 feet from the building, so it will be 9 feet from the building.

The top of the ladder will reach the window which is 11 feet from the ground.

In this way, we get a right triangle with the ladder as the hypotenuse, that we have to find.

Let the hypotenuse be x.

Using the Pythagorean Theorem, we get;

9^{2} +11^{2} =x^{2}

=> 81+121=x^{2}

=> 202=x^{2}

=> x=\sqrt{202}

=> x = 14.21

Hence, the ladder is approx 14.21 feet long.

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Evaluate 18 divided 2a if a = 3
Andreas93 [3]

Answer:

3

Step-by-step explanation:

\frac{18}{2a}

a = 3

\frac{18}{2(3)}

multiply 2 and 3

2 * 3 = 6

\frac{18}{6}

simplify

18/6 = 3

5 0
2 years ago
Convert 4x + 2y = 25 from standard form to slope intercept form<br><br> Show your steps
Zigmanuir [339]

Answer:

<em>y = -2x + 25/2</em>

Step-by-step explanation:

Slope intercept form is y = mx + b.

You must solve the equation for y.

4x + 2y = 25

Subtract 4x from both sides.

2y = -4x + 25

y = -2x + 25/2

7 0
3 years ago
Find the area of the triangle above. *<br>A11<br>B51<br>C315<br>D630​
malfutka [58]

D.630

Step-by-step explanation:

i did the math and got that

7 0
3 years ago
Read 2 more answers
Mica bought a new smart phone for $258.13. That was the price after his 18.25% discount. What was the original price of the phon
julia-pushkina [17]

The original price of phone is $ 315.76

<em><u>Solution:</u></em>

Given that Mica bought a new smart phone for $ 258.13.

That was the price after his 18.25% discount

<em><u>To find: original price of phone</u></em>

From given question,

price after discount = $ 258.13

discount = 18.25 %

Let "x" be the original price of phone

price after discount = original price - discount

258.13 = x - 18.25 \% \text{ of } x

258.13 = x - \frac{18.25}{100}x

258.13 = x(1 - \frac{18.25}{100})

258.13 = x(1 - 0.1825)\\\\258.13 = x( 0.8175)\\\\x = \frac{258.13}{0.8175}\\\\x = 315.76

Thus original price of phone is $ 315.76

4 0
3 years ago
Please answer A and B and give an explanation and show work. thank you!
NNADVOKAT [17]
Dont know a but b is 
75=100-2p
75 minus 100 = -25=-2p
-25/-2= p 
p=$12.50
4 0
3 years ago
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