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Rufina [12.5K]
3 years ago
10

The legs of a right triangle are 12 centimetres and 16 centimeters. What is the length of the hypotenuse?

Mathematics
2 answers:
hodyreva [135]3 years ago
8 0
Answer: c=20 Explanation in photo

antoniya [11.8K]3 years ago
5 0

Answer:

20 cm

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 = 12² + 16² = 144 + 256 = 400 ( take the square root of both sides )

h = \sqrt{400} = 20

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What is the value of the expression 3a+b2 when a=14 and b=32 ?
soldi70 [24.7K]

Answer:

106

Explanation:

3a+b2

Substitute the values for the variables:

3(14) + 2(32)

Solve:

3(14) + 2(32)

42 + 64

106

5 0
3 years ago
Best explained and correct answer gets brainliest.
topjm [15]
U = (-2,3)

V = (3,0)

midpoint of UV

= ( (3-2)/2 , (3+0)/2 )

= ( 1/2 , 3/2)

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X = (0.5 , 1.5) [from fig]

midpoint of UV = X

W= (-2,-3)

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by midpoint theorem ,

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6 0
3 years ago
The owner of a small pet supply store wants to open a second store in another city, but he only wants to do so if more than one-
Andrei [34K]

Answer:

The answer is "The null hypothesis was rejected".

Step-by-step explanation:

Following are the right-tailed test:

Calculating the null and alternative hypothesis:

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z = \frac{\hat{p} - P_0}{[\sqrt{\frac{P_0 \times (1 - P_0 )}{n}}]}

   = \frac{0.4267 - 0.3333}{[\sqrt{\frac{(0.3333 \times 0.6667)}{150}}]}\\\\= 2.426

Calculating the right-tailed test:

P(z > 2.426) = 1 - P(z < 2.426) = 1 - 0.9924 = 0.0076\\\\P-value = 0.0076\\\\\alpha = 0.05\\\\P-value < \alpha

Therefore, we reject the null hypothesis.

This example shows that more than a third of the families own pets in this town.

5 0
2 years ago
Find the domain and range of the graph
ozzi

9514 1404 393

Answer:

  • domain: [-6, -1)
  • range: [-5, 4]

Step-by-step explanation:

You have correctly determined the domain to be from x = -6 to x < -1. In interval notation, that would be ...

  [-6, -1)

__

The range is the vertical extent of the graph. It extends from a minimum of y = -5 to a maximum of y = +4 at the top of the curve. In interval notation, that would be ...

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2 years ago
Please someone solve for X, I don’t think it needs rounding but I couldn’t come up with an answer.
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Answer:

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Step-by-step explanation:

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