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Mathematics

2 answers:

spin [16.1K]2 years ago

8 0

Answer:

C) 16.97

Step-by-step explanation:

If the sides are 12, the hypotenuse is 12*(2^1/2) to the 45 - 45 - 90.

When you put 2*(2^1/2) into the calculator, you get 16.97.

Vlada [557]2 years ago

5 0

Answer:

16.97

Step-by-step explanation:

Equation used: c= $\sqrt{ax^{2} +bx^{2} }$

Equation filled out: c= $\sqrt{12x^{2} +12x^{2} }$

Next step: c= $\sqrt{288}$

Total: 16.97056 though to the hundreath place 16.97

So if both legs are 12 inches each, that mean that 12^2 +12^2 which totals out too 288, then you find the full square of 288 which leads out to 16.97!

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Answer:

Option B)

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Step-by-step explanation:

We are given the following in the question:

Hypothesis:

The doctors and u=instructor claims that practicing yoga reduces blood pressure and hence is beneficial to people.

Population mean, μ = 140 mm

Sample mean, $\bar{x}$ = 139 mm

Sample size, n = 51

Sample standard deviation, s = 5 mm

Thus, we can design the null hypothesis and alternate hypothesis as

$H_{0}: \mu = 140\text{ mm}\\H_A: \mu < 140\text{ mm}$

The null hypothesis states that the population have a blood pressure of 140 mm. The alternate hypothesis states that yoga reduces the blood pressure and the sample has a blood pressure less than 140 mm.

Thus, the correct answer is

Option B)

$H_{0}: \mu = 140\text{ mm}\\H_A: \mu < 140\text{ mm}$

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2 years ago

The minimum number of rigid transformations required to show that polygon ABCDE is congruent to polygon FGHIJ is 1 2 3 4 . A rot

MaRussiya [10]

I found the corresponding image. Pls. see attachment.

The minimum number of rigid transformations required to show that polygon ABCDE is congruent to polygon FGHIJ is 2 (translation and rotation).

A rotation translation must be used to make the two polygons coincide.

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