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ZanzabumX [31]
3 years ago
6

Math!! The answer is c. I think but can somebody explain the steps that would got me c. I need it.

Mathematics
1 answer:
allochka39001 [22]3 years ago
4 0

9514 1404 393

Answer:

  Use the Pythagorean theorem: (5/8)^2 +(3/2)^2 = (13/8)^2 ⇒ right triangle

Step-by-step explanation:

Check to see if the numbers satisfy the Pythagorean theorem.

  (5/8)^2 + (3/2)^2 = (13/8)^2

  25/64 + 9/4 = 169/64

  25/65 +144/64 = 169/64 . . . . . . . true. The triangle is a right triangle.

__

If a, b, c represent the lengths of the sides, least to greatest, then ...

  a^2 + b^2 > c^2 . . . . acute triangle

  a^2 + b^2 = c^2 . . . . right triangle

  a^2 + b^2 < c^2 . . . . obtuse triangle

_____

<em>Additional comment</em>

A triple of integers that satisfy the Pythagorean theorem (form a right triangle) is called a "Pythagorean triple." One you see often, and that has the special property that it is <em>the only triple that is an arithmetic sequence</em> is (3, 4, 5). A couple of other common ones are (5, 12, 13) and (7, 24, 25).

Any of these can be scaled by a common factor to make sides of a right triangle. Here, we have (5, 12, 13) scaled by a factor of 1/8 to make (5/8, 12/8, 13/8) = (5/8, 3/2, 13/8) — the numbers in the problem statement.

If you're aware of these common triples, you can check to see if they are being used in any right-triangle problem you may run across. Recognizing that one of these applies can save you the effort of working out the squares and/or root that would otherwise be involved.

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Please solve this thank you!
SSSSS [86.1K]

Answer:

1024x^{40}

Step-by-step explanation:

So the first step is to add like terms since you can simplify the numerator by adding the two values sine they have the same variable and degree.

Add like terms:

[\frac{8x^9}{2x}]^5

Divide by 2x (divide coefficient by 2, subtract coefficient degrees)

[4x^8]^5

Multiply exponents and raise 4 to the power of 5

1024x^{40}

The reason you multiply exponents is because you can think about it like this:

(4 * x * x * x * x * x * x * x * x) (this has one 4 and 8 x's because x is raised to the power of 8. Now if you do that 5 times which is what the exponent is doing you're going to have 40 x's and 8 4's. So it's essentially

(4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x). If you group like terms you'll get (4 * 4 * 4 * 4 * 4) *  (x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x). Which simplifies to 4^5 * x ^ (8 * 5) which further simplifies to the answer 1024x^40

6 0
2 years ago
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For every 15 students who run track, there are 7 students who play baseball. There are 112 more students
wolverine [178]

Answer:

There are 210 students running track and 98 students that play baseball.

Step-by-step explanation:

15*14= 210 and 7*14 = 98, 210 - 98 = 112. If this was correct feel free to mark me as brainiest :)

4 0
4 years ago
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Reika [66]

Answer:

d = 5

Step-by-step explanation:

We want to know what d would be when x = -1, so we can start off by plugging in -1 for x to get the following equation: \sqrt{8 - (-1)} = 2(-1)+d. On the left hand side, 2 negatives become a positive sign, so the -(-1) becomes a +1, and 8+1 would equal 9. On the right hand side, we just multiply 2 and -1 to get -2. So, the equation now looks like this: \sqrt{9} = d-2. We know that \sqrt{9} = 3, so we would get 3 = d-2. THen we would add 2 to both sides to get d = 5. Hope this helps!

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vova2212 [387]

Answer:

cos x = 0.5

Step-by-step explanation:

cot x  = (cos x) / (sin x)

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