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3 years ago

The hypothenuse of a right triangle has a length of 14 units and a side that is 9 units . Find the remaining side.

Mathematics

1 answer:

sergejj [24]3 years ago

8 0

Answer:

$\sqrt{115}$ or 10.72

Step-by-step explanation:

this question requires the Pythagorean theorem! the theorem states that a squared plus b squared is equal to c squared. c will always be the hypotenuse because it is the longest side. therefore we have to do the opposite and subtract in this case. therefore the equation would be 14 squared minus 9 squared is equal to b squared. solve this first and you get 115. you have to square root it to get the final answer. hope this helped! xoxo

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Find the degree measure of 15.26 rad

kakasveta [241]

Answer: " 874.33 ° " .

___________________________________

Step-by-step explanation:

15.26 rad * ( 180 degree / $\pi$ rad ) ;

= [ (15.26 * 180) / $\pi$ ] degrees ;

= [ ( 2746.8 ) / $\pi$ ] degrees.

= [ ( 2746.8) / 3.14) ] degrees ;

= 874.3336 degrees;

→ round to: " 874.33 degrees ."

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3 years ago

The sum of two times a number and -2 is at least 8<br><br> how can I solve it plz help

Bogdan [553]

To solve, your equation would be 2x - 2 >/= 8. You add 2 to both sides, getting 2x >/= 10. Then divide by two on both sides, your answer would be x >/= 5. (x is greater than or equal to 5).

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3 years ago

An exit poll in an election is a survey taken of voters just after they have voted. One major use of exit polls has been so that

3241004551 [841]

Answer:

P(A) = 0.39

Step-by-step explanation:

We are given;

P(W|A) = 0.7

P(W|A^c ) = 0.3

We are told that 60% of the respondents said they voted for A. Thus;

P(A|W) = 60% = 0.6

Now, using the principle of drawing lots, we can be able to find the probability of the event that they are willing to participate in the exit poll which is P(W).

Thus;

P(W) = [P(W|A) × P(A)] +[P(W∣A^c) × P(A^c)]

Now, P(A^c) can be expressed as 1 - P(A)

Thus, we now have;

P(W) = [P(W|A) × P(A)] + [P(W∣A^c) × (1 - P(A)]

Plugging in the relevant values gives;

P(W) = 0.7P(A) + 0.3(1 - P(A))

P(W) = 0.7P(A) + 0.3 - 0.3P(A)

P(W) = 0.3 + 0.4P(A)

Now,using Baye's theorem, we can find an expression for P(A|W)

Thus;

P(A|W) = [P(A ∩ W)]/P(W)

This can be further expressed as;

P(A|W) = [P(A) × P(W|A)]/P(W)

Plugging in relevant values, we have;

0.6 = 0.7P(A)/(0.3 + 0.4P(A))

Cross multiply to get;

0.6(0.3 + 0.4P(A)) = 0.7P(A)

0.18 + 0.24P(A) = 0.7P(A)

0.18 = 0.7P(A) - 0.24P(A)

0.46P(A) = 0.18

P(A) = 0.18/0.46

P(A) = 0.39

7 0

3 years ago

A falcon can fly 322 km/h how many meters per hour can the falcon fly

Tju [1.3M]

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Ira Lisetskai [31]

Answer:

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Step-by-step explanation:

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