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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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Find the slope between 2 points. <br> (16, 12) (40,18)
WITCHER [35]

Answer:

\frac{1}{4}

Step-by-step explanation:

In this question, we have to find the slope with the given coordinates.

To find our slope, we would use the slope formula: m = \frac{y2-y1}{x2-x1}

Plug in your coordinates and solve:

m = \frac{18-12}{40-16}\\\\m=\frac{6}{24}

Simplify the fraction:

m=\frac{1}{4}

The slope would be \frac{1}{4}

8 0
3 years ago
Goods on an invoice have been calculated as £1,495. Total discount has been calculated as £149 and VAT is £269.20. What is the t
damaskus [11]

Answer:

£1,616.2

Step-by-step explanation:

1,496 - 149 = 1347

1347 + 269.20 = 1616.2

7 0
3 years ago
A boy decided to save by an unusual method.He put 1cent, the first week.2cent in the second week,4xent in the third week,8cent i
lesya692 [45]

Answer:

Step-by-step explanation:

for 1st week=1 ¢

for 2nd week= 2¢

for 3rd week= 4¢

for 4th week=8¢

for 5th week=16¢

for 6th week=32¢

for 7th week=64¢

for 8th week=64+64=128¢

for 9th week= 128+128=256¢

for 10th week= 256+256=512¢

.: he saved a total of

1+2+4+8+16+32+64+128+256+512=1023¢

1023¢=1023/100=$10.23

4 0
3 years ago
The Mad Hat Company must ship two different-sized boxes: The small ones cost them 45 cents each and weigh 6 ounces, and the larg
Viefleur [7K]

Given :

The Mad Hat Company must ship two different-sized boxes: The small ones cost them 45 cents each and weigh 6 ounces, and the large ones weigh 25 ounces and cost $1.20 each.

The total shipment this morning weighed 20 pounds 7 ounces and cost $18.45.

To Find :

How many packages of each size were shipped.

Solution :

We know, 1 pound = 16 ounces.

So, 20 pound = 20×16 = 320 ounces.

Let, number of large and small box are l and s.

So,

25l + 6s = 327 ...1)

0.45s + 1.20l = 18.45 ...2)

Solving both the equations, we get :

x = 9 and y = 17

Therefore, package smaller and big size are 17 and 9 respectively .

Hence, this is the required solution.

6 0
3 years ago
2x + y =8 and 4x -2y = 6
irakobra [83]

Answer:

x=1.25 and y=-5.5

Step-by-step explanation:

2x+y=-8, 2x=-y-8 or 4x=-2y-16. Plug this value in the second equation, we have - 2y-16-2y=6, y=-5.5. Plugging this in any equation we have, x=1.25

5 0
3 years ago
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