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Murrr4er [49]
2 years ago
15

27 km 36 km What is the length of the hypotenuse?

Mathematics
1 answer:
just olya [345]2 years ago
4 0

Answer:

The length of hypotenuse is 45 kilometers

Step-by-step explanation:

Assuming that given lengths are of perpendicular and hypotenuse, and the triangle is a right angled triangle

Perpendicular = P = 27 km

Base = B = 36 km

Hypotenuse = H = ?

We can use Pythagoras theorem for finding the length of hypotenuse

The Pythagoras theorem is given by:

H^2 = B^2+P^2

Putting the values, we get

H^2 = (36)^2 + (27)^2\\H^2 = 1296 + 729\\H^2 =2025

Taking square root on both sides

\sqrt{H^2} =\sqrt{2025}\\H =45

Hence,

The length of hypotenuse is 45 kilometers

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Free_Kalibri [48]

Answer:

T(2, -7) = (4, -10)

Step-by-step explanation:

T(x, y) = (x + 2, y - 3)

T(2, -7) = (2 + 2, -7 - 3)

T(2, -7) = (4, -10)

3 0
2 years ago
At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population pro
Gnom [1K]

Answer:

A sample of 1068 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?

We need a sample of n.

n is found when M = 0.03.

We have no prior estimate of \pi, so we use the worst case scenario, which is \pi = 0.5

Then

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.03\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.03}

(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.03})^{2}

n = 1067.11

Rounding up

A sample of 1068 is needed.

8 0
2 years ago
Find the y-intercept of the line -4× - 2y =16​
Oksi-84 [34.3K]

Answer:

The y intercept is (0,-8)

Step-by-step explanation:

To find the y intercept, set x = 0 and solve for y

-4x -2y = 16

-4(0) -2y =16

-2y = 16

Divide by -2

-2y/-2 = 16/-2

y = -8

The y intercept is (0,-8)

6 0
3 years ago
Read 2 more answers
Type the correct answer in each box.
Vikki [24]

Answer:

Cos<42 sin<16 :)

Step-by-step explanation:

3 0
3 years ago
Consider a standard deck of 52 cards (13 cards each in 4 suits, clubs, spades, diamonds and hearts). What is the probability of
Anna11 [10]

Answer:

1/2652

Step-by-step explanation:

52 cards    one jack spades      1/52

now 51 cards left   one jack diamonds   1/51

1/52 * 1/51 = 1 / 2652

4 0
1 year ago
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