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romanna [79]
3 years ago
9

A painter leans a 20-ft ladder against a building. The base of the ladder is 12 ft from the building. To the nearest foot, how h

igh on the building does the ladder reach?

Mathematics
2 answers:
Mazyrski [523]3 years ago
7 0
Use Pythagorean Theorem.
a^2 + b^2 = c^2
Substitute the numbers.
12^2 + b^2 = 20^2
144 + b^2 = 400
Subtract 144 from each side.
b^2 = 256
Take square root.
The answer is
b = 16
Mekhanik [1.2K]3 years ago
4 0
<h2>Answer:</h2>

The height of the building to which the ladder reaches is:

                            16 ft.

<h2>Step-by-step explanation:</h2>

We can model this problem with the help of a right angled triangle ΔABC such that the hypotenuse of the triangle is 20-ft and one of it's leg is: 12 ft.

Now we are asked to find the other leg of the triangle.

We will use the Pythagorean Theorem in order to find the other leg.

Pythagorean Theorem says that: If c is the hypotenuse of the right triangle and a and b are it's two legs then,

c^2=a^2+b^2

Hence, here we have:

c=20,\ and\ a=12

So,

20^2=12^2+b^2\\\\i.e.\\\\400=144+b^2\\\\i.e.\\\\b^2=400-144\\\\i.e.\\\\b^2=256\\\\i.e.\\\\b=\pm 16

Since, b can't be negative as it denotes a side of a triangle.

Hence, we get:

b=16

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The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts

Let x represent the number of Pi Day T-shirts sold.

They are selling Pi Day T-shirts for $7.50 each, So to raise $500:

7.5x > 500

Dividing through by 7.5:

7.5x / 7.5 > 500 / 7.5

x > 66.7

Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts

Find out more at: brainly.com/question/25285332

3 0
2 years ago
Sandra’s lunch came to $12.84 plus 15% tax. What was the total cost of her lunch?
Nimfa-mama [501]

The total would be $14.77

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4 0
3 years ago
The perimeter of the triangle at right is 52 units. Write and solve an equation based on the information in the diagram. Use you
marysya [2.9K]

Answer:

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  • x = 2
  • red: 10
  • blue: 19
  • yellow: 23

Step-by-step explanation:

The equation is based on the relation that the perimeter is equal to the sum of the side lengths.

  P = red + blue + yellow

  52 = (7x -4) +(19) +(10x +3)

  52 = 17x +18 . . . . . . . . . . . . . . simplify

  34 = 17x . . . . . . . . . . . . . subtract 18

  2 = x . . . . . . . . . . . . divide by 17

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  red = 7(2) -4 = 10

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  yellow = 10(2) +3 = 23

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Answer:

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To find the unit price for the 6 shirts you would do 188.94 divided by 6.

To find the unit price for the 8 shirts you would do 243.92 divided by 8

for 6 shirts it's: $31.49/shirt

for 8 shirts it's: $30.49/shirt

8 0
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If you rewrite the problem 14(22) as 14(20+2) so that you can use mental math, which of the following properties will you use?
KiRa [710]
For this case, the property you can use is the following:
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 Answer: 
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7 0
3 years ago
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