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2 years ago

Are these numbers a Pythagorean triple? yes or no

Mathematics

1 answer:

Illusion [34]2 years ago

3 0

Answer:

Yes

Step-by-step explanation:

You know if the numbers are in a Pythagorean triple if the sum of the squares of the two smaller numbers is equal to the square of the largest number according to the Pythagorean Theorem: $a^2+b^2=c^2$ .

Here, a = 15 and b = 20. Let's see if: $15^2+20^2$ equals $25^2$ .

15^2 = 225

20^2 = 400

15^2 + 20^2 = 225 + 400 = 625

25^2 = 625

Since 15^2 + 20^2 does indeed equal 25^2, we know that this is a Pythagorean triple.

Hope this helps!

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Urgent, please i will give brainliest

Ne4ueva [31]

Answer:

1. $\frac{\sqrt{13} }{3}$

2. 3.2362

3. $\frac{60}{11}$

Step-by-step explanation:

Cot is the trigonometric ratio defined by "adjacent" over "opposite". So, adjacent = 2 and opposite = 3.

By pythagorean theorem, we have the "hypotenuse" as $\sqrt{2^2+3^2}=\sqrt{13}$

Csc is defined as the trig ratio "hypotenuse" over "opposite". We know the sides, so Csc $\theta$ = $\frac{\sqrt{13} }{3}$

First answer choice is right.

By definition, Csc $\theta$ is the inverse of Sine $\theta$ . If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:

$Csc\theta=\frac{1}{0.3090}\\=3.2362$

Third answer choice is right.

By definition tan and cot are inverse of each other. So the value of tan is the reciprocal of the value of cot. We can simply "flip" the value of tan theta to get the value of cot theta. Hence:

$Cot\theta=\frac{60}{11}$

Third answer is right.

3 0

3 years ago

Read 2 more answers

The plate is rotated 90° about the origin in the counterclockwise direction. In the image trapezoid, what are the coordinates of

Jet001 [13]

Answer:

The coordinates of the endpoints of the side congruent to side EF is:

E'(-8,-4) and F'(-5,-7).

Step-by-step explanation:

" when point M (h, k) is rotated about the origin O through 90° in anticlockwise direction or we can say counter clockwise. The new position of point M (h, k) will become M' (-k, h) "

We are given a trapezoid such that the vertices of trapezoid are:

E(-4,8) , F(-7,5) , G(-4,3) , H(-2,5)

Then the new coordinates after the given transformation is:

E(-4,8) → E'(-8,-4)

F(-7,5) → F'(-5,-7)

G(-4,3) → G'(-3,-4)

H(-2,5) → H'(-5,-2)

Hence the coordinates of the endpoints of the side congruent to side EF is:

E'(-8,-4) and F'(-5,-7).

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3 years ago

You used a total of 67.5 yards of cotton material to make costumes for a play. Each costume used 11.25 yards of cloth . How many

Damm [24]

67.5 divided by 11.25 equals 6 so you made 6 costumes

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3 years ago

I need some help, can't figure out this last question.

Damm [24]

He now has 36 percent

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2 years ago

you have 120 red beads, loo white beads, and 45 blue beads. you want to use all the beads to make a bracelet that has red, white

kvv77 [185]

Answer:

24 bracelets can be made from given beads.

● Explanation -To make similar bracelets using all the beads, we have to find the highest common factor of no of beads.Now, Factors of 72 => 1, 2, 3, 4, 6, 8 , 9, 12, 18, 24, 36, 72Factors of 192 => 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192Factors of 120 => 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120HCF => 24Observing this data, HCF of 72, 192 & 120 will be 24.Therefore, total 24 bracelets can be made from given beads.* Each bracelet will have 3 red, 8 blue and 5 white beads.

5 0

2 years ago