All categories

3 years ago

For which triangle is the length of the hypotenuse an INTEGER?

Mathematics

1 answer:

artcher [175]3 years ago

4 0

A right triangle :) to find the length of a missing side, you can use the pythagorean theorem (a^2 + b^2 = c^2)

You might be interested in

If ab parallel to CD then the value of x is find the attached image

dem82 [27]

Answer:

the answer is referred from the books or ask your teacher

7 0

3 years ago

Suppose that the distance, in miles, that people are willing to commute to work is an exponential random variable with a decay p

garik1379 [7]

Answer:

m = $\frac{1}{20}$
μ = 20
σ = 20

The probability that a person is willing to commute more than 25 miles is 0.2865.

Step-by-step explanation:

Exponential probability distribution is used to define the probability distribution of the amount of time until some specific event takes place.

A random variable X follows an exponential distribution with parameter m.

The decay parameter is, m.

The probability distribution function of an Exponential distribution is:

$f(x)=me^{-mx}\ ;\ m>0, x>0$

Given: The decay parameter is, $\frac{1}{20}$

X is defined as the distance people are willing to commute in miles.

The decay parameter is m = $\frac{1}{20}$ .
The mean of the distribution is: $\mu=\frac{1}{m}=\frac{1}{\frac{1}{20}}=20$ .
The standard deviation is: $\sigma=\sqrt{variance}= \sqrt{\frac{1}{(m)^{2}} } =\frac{1}{m} =\frac{1}{\frac{1}{20}} =20$

Compute the probability that a person is willing to commute more than 25 miles as follows:

$P(X>25)=\int\limits^{\infty}_{25} {\frac{1}{20} e^{-\frac{1}{20}x}} \, dx \\=\frac{1}{20}|20e^{-\frac{1}{20}x}|^{\infty}_{25}\\=|e^{-\frac{1}{20}x}|^{\infty}_{25}\\=e^{-\frac{1}{20}\times25}\\=0.2865$

Thus, the probability that a person is willing to commute more than 25 miles is 0.2865.

7 0

3 years ago

Un = 5 x 21 What is the answer to this problem?

siniylev [52]

Answer:

N = 105/u

U = 105/n

Step-by-step explanation:

Let's solve for n.

un=(5)(21)

Step 1: Divide both sides by u.

nu/u = 105

un = 105/u

__________________________

Let's solve for u.

un=(5)(21)

Step 1: Divide both sides by n.

nu/n = 105/n

u = 105/n

4 0

3 years ago

HELP!!!!

KIM [24]

Answer:

102,000

Step-by-step explanation:

3 0

3 years ago

How to find the area of a segment of a circle if r=8 and central angle =120 degrees. Please explain clearly and thoroughly. Will

bekas [8.4K]

First you need to find the area of the circle, which is πr^2
With a radius of 8 inches, the area of the circle will be π*8^2 or 64π.
Next you want to find the area of the 120 degree section of that circle.
120 degrees is 1/3 of a circle, so all you have to do next is multiply the are of the circle by 1/3 (because 360/120= 1/3).
(1/3)(64π) --> All you really have to do here is multiply 64 by 1/3 or divide it by 3 (because to divide by a number is the same a multiplying by it's reciprocal) so you get (64/3)(π).
64/3 is 21 and 1/3 or 21.333..., so however you choose to write it, I will leave the answer as (64/3)π squared inches.

5 0

3 years ago