Solve for u<br><br>36 - 9u = 27<br><br>Answer: ???

Which of the following is NOT a variation of a Pythagorean identity?

Ipatiy [6.2K]

The expression that is not a variation of the Pythagorean identity is the third option.

<h3>What is the Pythagorean identity?</h3>

The Pythagorean identity can be written as:

$sin^2(x) + cos^2(x) = 1$

For example, if we subtract cos^2(x) on both sides we get the second option:

$sin^2(x) = 1 - cos^2(x)$

Which is a variation.

Now, let's divide both sides by cos^2(x).

$sin^2(x)/cos^2(x) + cos^2(x)/cos^2(x) = 1/cos^2(x)\\\\tan^2(x) + 1 = sec^2(x)\\\\tan^2(x) - sec^2(x) = -1$

Notice that the third expression in the options looks like this one, but the one on the right side is positive. The above expression is in did a variation of the Pythagorean identity, then the one written in the options (with the 1 instead of the -1) is incorrect, meaning that it is not a variation of the Pythagorean identity.

Concluding, the correct option is the third one.

If you want to learn more about the Pythagorean identity, you can read:

brainly.com/question/24287773

3 0

3 years ago

How are rigid transformations used to justify the SAS congruence theorem?

Masja [62]

Answer:

When a shape is transformed by rigid transformation, the sides lengths and angles remain unchanged.

Rigid transformation justifies the SAS congruence theorem by keeping the side lengths and angle, after transformation.

Assume two sides of a triangle are:

And the angle between the two sides is:

When the triangle is transformed by a rigid transformation (such as translation, rotation or reflection), the corresponding side lengths and angle would be:

Notice that the sides and angles do not change.

Hence, rigid transformation justifies the SAS congruence theorem by keeping the side lengths and angle, after transformation.

Step-by-step explanation:

5 0

1 year ago

There are 50 runners in a race. How many ways can the runners finish first, second, and third?

Dmitrij [34]

Number of ways can the runners finish first, second, and third is 1,17,600 .

<u>Step-by-step explanation:</u>

Permutation is the act of arranging the members of a set into a sequence or order, or, if the set is already ordered, rearranging (reordering) its elements—a process called permuting. For example, written as tuples, there are six permutations of the set {1,2,3}, namely: (1,2,3), (1,3,2), (2,1,3), (2,3,1), (3,1,2), and (3,2,1). Formula of Permutation is : $P(n,r) = \frac{n!}{(n-r)!}$ where n is the number of things to choose from, and we choose r of them, no repetitions, order matters. Here , n = 50 , r= 3

⇒ $P(n,r) = \frac{n!}{(n-r)!}$

⇒ $P(50,3) = \frac{50!}{(50-3)!} = \frac{50(49)(48)47!}{47!}$

⇒ $P(50,3) = 50(49)(48)$

⇒ $P(50,3) = 1,17,600$

∴ Number of ways can the runners finish first, second, and third is 1,17,600 .

8 0

3 years ago

If 7 of the same books cost £84, how many can be brought for £48

jolli1 [7]

The answer is 4 :)
hope it helps!! sorry if the answer is wrong

5 0

3 years ago

450 is shared between two workers John and Andrew if John gets 50 more than Andrew how much does John get

NemiM [27]

450 divided by 2 is 225. 225-50=175. 225+50=275

John has 275 and Andrew has 175.

In order to get this answer, first you divide the whole number by 2. Then you get the number 225. You then have to subtract 50 from 225 because John gets 50 more than Andrew. Then for John, you have to add 50 to 225. To self-check the answer, here is the formula: 175+275=450. Remember that on these kind of word problems, you first divide the whole. Then subtract and add the number that one person gets more than the other person.

3 0

3 years ago

Solve for u36 - 9u = 27Answer: ???​

Solve for u36 - 9u = 27Answer: ???