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zavuch27 [327]
3 years ago
8

Find the length of side a.

Mathematics
2 answers:
ivann1987 [24]3 years ago
7 0

Answer: C. 5

Step-by-step explanation:

We'll use the Pythagorean Theorem to find the missing side.

a^2 + b^2 = c^2

a^2 + 12^2 = 13^2

a^2 +  144 = 169

a^2 = 25

(simplify)

a^2 = \sqrt{25}

a = 5

kow [346]3 years ago
6 0

Answer:

C. 5

Step-by-step explanation:

Keeping in mind that this is a right triangle, to find the length of side a, we can use the Pythagorean Theorem.

Remember, the Pythagorean Theorem is:

a² + b² = c²

where a and b are the legs of the right triangle and c is the hypotenuse.

As we can see in the image, a is one of the two legs of the right triangle. 13 is the hypotenuse and 12 is another leg. Plugging into the Pythagorean Theorem, we get:

a² + 12² = 13²

Now we solve for a.

a² + 144 = 169

Subtract 144 from both sides.

a² = 169 - 144

a² = 25

Take the square root of both sides.

a = √25

a = 5

So the length of side a would be 5.

The answer would be C. 5.

I hope you find my answer and explanation to be helpful. Happy studying.

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atroni [7]

Answer:

10 feet

Step-by-step explanation:

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At this point the height of the pole is 60 times the length of the measure on the ruler, or 60 inches, that is 5 feet. Add the 5 feet the pole was starting from, it's 10 feet.

4 0
2 years ago
Sally has a piece of cloth used 1/3 of a foot of the cloth to make a pillow cover in another 4/7 of a foot of the cloth to make
iren [92.7K]

Answer:

\frac{23}{21} feets

Step-by-step explanation:

Given.

Sally started with two feets of cloth.

Total cloth = 2 feets

She used \frac{1}{3} of a foot of the cloth to make a pillow cover.

And another \frac{4}{7} of a foot of the cloth to make a table cloth.

She used total cloth to make a pillow cover and table cloth = \frac{1}{3} +\frac{4}{7}

=\frac{7+12}{21} \\=\frac{19}{21}

Total used cloth by Sally = \frac{19}{21}

The equation for remaining cloth

remaining cloth = total cloth - used cloth

remaining cloth = 2 - \frac{19}{21}

remaining cloth = \frac{2\times 21-19}{21}

remaining cloth = \frac{42-19}{21}

remaining cloth = \frac{23}{21}

Sally has remaining cloth = \frac{23}{21} feets

8 0
3 years ago
The mid point of ab m(1,-1). if the coordinates of a are (7,-4) what are the coordinates of b
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9514 1404 393

Answer:

  b = (-5, 2)

Step-by-step explanation:

b = 2m - a = 2(1, -1) -(7, -4) = (2-7, -2+4)

b = (-5, 2)

__

<em>About the formula</em>

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3 years ago
Event E is defined as the occurrence of one or more of two mutually exclusive events, E1 and E2-. How can you find the probabili
katen-ka-za [31]
If events E1 and E2 are mutually exclusive, it means that it is impossible for them to happen together. The probability of the occurrence of one or more of these events is the sum of their individual probabilities. The answer for this item would be,
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Answer:
discriminant=0
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Step-by-step explanation:

Given the equation:
-9x^2-6x-1=0
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Let b: coefficient of x
Let c: constant
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Here we got discriminant=0 so the quadratic equation has 1 real root.
8 0
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