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Advocard [28]
2 years ago
11

Find the length of the third side. If necessary, write in simplest radical form.​

Mathematics
1 answer:
Aloiza [94]2 years ago
4 0

Answer:

\sqrt{13}

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is

h² = 2² + 3² = 4 + 9 = 13 ( take square root of both sides )

h = \sqrt{13}

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Martina is building a fence around her garden. For every 4 feet of fencing, the cost is $32.
Dominik [7]

Answer:

For every foot of fencing, it costs $8. This should help us easily solve the question.

1st missing number: 48

2nd missing number: 56

3rd missing number: 9

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2 years ago
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Factor the polynomial 3x4 – 2x2 + 15x2 - 10 by grouping.
prohojiy [21]

Answer:

see explanation

Step-by-step explanation:

Given

3x^{4} - 2x² + 15x² - 10

Factor the first/second and third/fourth terms )

= x²(3x² - 2) + 5(3x² - 2) ← factor out (3x² - 2) from each term

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Edward can run 1/2 mile in 300 seconds. What is his unit of rate
sattari [20]
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3 years ago
I just don’t understand how to do this?i need answers please
Maslowich
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6 0
2 years ago
Alice is baking a cake. She doesn’t intend to eat it, but tells you half of what you find is yours. She tells the same thing to
tankabanditka [31]

Answer: a) P = 0.5, b) P = 0.07

Step-by-step explanation:

Hi!

Lets call X₁ the time at which you arrive, and X₂ the time at which Bob arrives. Both are random variables with uniform density in the interval [0, 60] (in minutes). Their joint distribuition is uniform over the square in the image, with value P = 1/(60*60) = 1/3600.

a) For you to get more cake than Bob, you should arrive earlier. This event is A = { X₁ < X₂ }, the shaded triangle in the figure.The area of this event (set) is half the total area of the square, so P(A) = 0.5.

It makes sense, beacuse its equally probable for you or Bob to arrive earlier, as both have uniform density over the time interval.

b) In this case you arrive later than Bob, but less than 5 minutes later. So the event is B = { X₂ < X₁ < (X₂ + 5) } . This is the gray shaded area in b) part of the image. Its area is the difference two triangles (half square - blue triangle), then the probability is:

P(B) = 0.5 - \frac{(0.5*55^2)}{3600} =0.07

7 0
3 years ago
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