Simon leans a 20 ft ladder against the side of his house so that the base of the ladder is

1 answer:

7 0

The answer is 19.4
Most of the time when you try to find a missing length of a right triangle you use Pythagorean theorem. Pythagorean theorem is A squared plus B squared equals C squared. C squared is always going to be the longest length/diagonal line otherwise known as your hypotenuse. In this case the ladder is the hypotenuse. So instead of adding five squared +20 squared you’re going to square 20 and then subtract five squared to get the missing length which would be B squared and then you have to find the square root of B squared. So 20 squared is 4000. 5squared is 25 400-25 = 375 square root of 375 is about 19.4.

You might be interested in

What is the value of x in the circle below? If necessary round your answer to the nearest tenth. I AM FAILING THIS CLASS I JUST

emmainna [20.7K]

Since we know that the 38 is being bisected (which we can tell by the fact that the line hits it perpendicularly), we know that from the intersection to the edge of the circle is 19. From this we can create a right triangle in which the legs are 10 and 19 and the hypotenuse is a radius of the circle. Since x is also a radius of the circle, all we have to do is use that information to find the hypotenuse using the Pythagorean Theorem and we have x.

Pythagorean Theorem
$a^{2}$ + $b^{2}$ = $c^{2}$
$10^{2}$ + $19^{2}$ = $x^{2}$
100 + 361 = $x^{2}$
461 = $x^{2}$
x = $\sqrt{461}$ or about 21.47

8 0

3 years ago

Read 2 more answers

Can you answer these questions?

vitfil [10]

Both of them are the first answer choice

4 0

3 years ago

Read 2 more answers

Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-

lapo4ka [179]

She invested $11,250 in the stock, $3,750 in the CD and $12,000 in the bond fund.

<h3><u>Distributions</u></h3>

Given that Sylvia invested a total of $27,000, and she invested part of the money in a certificate of deposit (CD) that earns 3% simple interest per year, she invested in a stock that returns the equivalent of 7% simple interest, and she invested in a bond fund that returns 2%, and she invested three times as much in the stock as she did in the CD, and earned a total of $1140 at the end of 1 yr, to determine how much principal did she put in each investment, the following calculation must be made:

9000 x 0.07 + 3000 x 0.03 + 15000 x 0.02 = 630 + 90 + 300 = 1020
9900 x 0.07 + 3300 x 0.03 + 13800 x 0.02 = 693 + 99 + 276 = 1068
12,000 x 0.07 + 4,000 x 0.03 + 11,000 x 0.02 = 840 + 120 + 220 = 1,180
11400 x 0.07 + 3800 x 0.03 + 11800 x 0.02 = 798 + 114 + 236 = 1148
10800 x 0.07 + 3600 x 0.03 + 12600 x 0.02 = 756 + 108 + 252 = 1116
11160 x 0.07 + 3720 x 0.03 + 12120 x 0.02 = 781.2 + 111.6 + 242.4 = 1135.2
11190 x 0.07 + 3730 x 0.03 + 12080 x 0.02 = 783.3 + 111.9 + 241.6 = 1136.8
11250 x 0.07 + 3750 x 0.03 + 12000 x 0.02 = 787.5 + 112.5 + 240 = 1140

Therefore, she invested $11,250 in the stock, $3,750 in the CD and $12,000 in the bond fund.

Learn more about distribution in brainly.com/question/10250387

7 0

2 years ago

How do I solve (3x2y) (10x5y3)

dmitriy555 [2]

Answer:

30x^7y^4

Step-by-step explanation:

Hope this helps!

Please Mark Brainliest!

4 0

3 years ago

The length of a rectangle is 55 inches more than the width. the perimeter is 4242 inches. find the length and the width of the r

faust18 [17]

L = W + 55
2L + 2W = 4242

L + W = 2121
(W + 55) + W = 2121
2W + 55 = 2121

W = 1033 inches L = 1088 inches

6 0

3 years ago