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Vladimir79 [104]
3 years ago
11

Use the Pythagorean theorem to find the length of the leg in the triangle shown below 12 15

Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0

Answer:

9 = x (assuming 15 is the hypotenuse)

Step-by-step explanation:

15^2 = 12^2 + x^2

225 = 144 + x^2

subtract 144 from both sides

81 = x^2

square root both sides

9 = x

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Find the constant of proportionality for the table and write in the form y = kx.
atroni [7]

Answer:

y=4x

Step-by-step explanation:

it's enough to use first column (x=6, y=24). Inserting this data into equation y=kx, we can calculate k.

24=k*6

6k = 24

k = 24/6

k = 4

6 0
3 years ago
The graph of f(x) shown below has the same shape as the graph of g (x) = x^2 but it is shifted to the left 2 units. what is the
mariarad [96]

Answer:

  C.  F(x) = (x+2)²

Step-by-step explanation:

A horizontal shift to the right by "h" units is achieved by replacing x with (x-h). The shift we want is to the left by 2 units, so h = -2, and we have ...

  f(x) = g(x -(-2)) = g(x+2)

  f(x) = (x+2)²

8 0
3 years ago
Production times are evenly distributed between 8 and 15.8 minutes and production times are never outside of this interval. What
dezoksy [38]

Answer:

29.49% probability that a production time is between 9.7 and 12 minutes

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d, in which d is greater than c, is given by the following formula.

P(c \leq X \leq d) = \frac{d - c}{b-a}

Production times are evenly distributed between 8 and 15.8 minutes and production times are never outside of this interval.

This means that a = 8, b = 15.8

What is the probability that a production time is between 9.7 and 12 minutes?

d = 12, c = 9.7.

So

P(c \leq X \leq d) = \frac{d - c}{b-a}

P(9.7 \leq X \leq 12) = \frac{12 - 9.7}{15.8 - 8} = 0.2949

29.49% probability that a production time is between 9.7 and 12 minutes

5 0
3 years ago
Decrease 248 by 30%
Snowcat [4.5K]
Okay this equation really says is what is 30% of 248.

So, lets convert 30% to a fraction, 3/10 which is easier to work with.

All you have to do now is get out a calculator and do 248 *3/10 (or .3) and get 74.4

So subtract 74.4 and get

173.6
8 0
3 years ago
Tanya's father travels every week for business. He has traveled around the
Nikitich [7]

The correct answer would be: 4.6 x 10^5

8 0
2 years ago
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