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3 years ago

Which set of side lengths form a right triangle?

1 answer:

8 0

If you have a right triangle, you can use the Pythagorean theorem, which is a²+b²=c². (c is the longest side or the hypotenuse)

You plug in the shorter sides for a and b, then you square root the answer.

A 14m, 20m, 25m

14² + 20² = 25²

196 + 400 = 625

596 = 625 X

B 10cm, 6cm, 8cm

6²+8²=10²

36+64=100

100=100 So your answer is B

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Step-by-step explanation:

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3 years ago

How many square yards of carpet will she need?

san4es73 [151]

25 that how much she will need

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3 years ago

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tatiyna

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3 years ago

Use Newton’s Method to find the solution to x^3+1=2x+3 use x_1=2 and find x_4 accurate to six decimal places. Hint use x^3-2x-2=

luda_lava [24]

Let $f(x) = x^3 - 2x - 2$ . Then differentiating, we get

$f'(x) = 3x^2 - 2$

We approximate $f(x)$ at $x_1=2$ with the tangent line,

$f(x) \approx f(x_1) + f'(x_1) (x - x_1) = 10x - 18$

The $x$ -intercept for this approximation will be our next approximation for the root,

$10x - 18 = 0 \implies x_2 = \dfrac95$

Repeat this process. Approximate $f(x)$ at $x_2 = \frac95$ .

$f(x) \approx f(x_2) + f'(x_2) (x-x_2) = \dfrac{193}{25}x - \dfrac{1708}{125}$

Then

$\dfrac{193}{25}x - \dfrac{1708}{125} = 0 \implies x_3 = \dfrac{1708}{965}$

Once more. Approximate $f(x)$ at $x_3$ .

$f(x) \approx f(x_3) + f'(x_3) (x - x_3) = \dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125}$

Then

$\dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125} = 0 \\\\ \implies x_4 = \dfrac{5,881,319,037}{3,324,107,515} \approx 1.769292663 \approx \boxed{1.769293}$

Compare this to the actual root of $f(x)$ , which is approximately <u>1.76929</u>2354, matching up to the first 5 digits after the decimal place.

4 0

2 years ago

1 Katherine can run the perimeter of Kiker Park in

Vlad1618 [11]

The according to the perimeter, Parker takes 5 second longer than the Marin to run the perimeter.

According to the statement

We have to find that the comparison of the running time of the parker.

So, For this purpose, we know that the

Perimeter is the distance around the edge of a shape.

From the given information:

Katherine can run the perimeter of Kiker Park in 5.0 minutes and It takes Marin 1.45 minutes longer.

Marin takes 6.45 minutes and the Parker can run the perimeter of the park in 6.50 minutes.

Then from the statement it is clear that the

Time taken by Katherine = 5.0 minutes

Time taken by Parker = 6.50 minutes

Time taken by Marin = 5.0 minutes + 1.45 minutes

Time taken by Marin = 6.45 minutes.

from the timing we can say that the Marin's running time to Parker's running time is compared and the Parker takes 5 seconds more than the Marin.

So, The according to the perimeter, Parker takes 5 second longer than the Marin to run the perimeter.

Learn more about Perimeter here

brainly.com/question/19819849

#SPJ9

5 0

2 years ago