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zhannawk [14.2K]
2 years ago
11

If you are using Cosine and need to solve for an unknown hypotenuse, you should...

Mathematics
1 answer:
kifflom [539]2 years ago
6 0

Using cosine, we can find the hypotenuse by using the formula below;

hypotenuse = adjacent / cos ∅

<h3 /><h3 /><h3>Trigonometric ratios:</h3>
  • Trigonometric ratios are ratios of sides of a right angled triangle.
  • The simplest ratios are cosine, sine and tangent.

Using cosine, the hypotenuse side can be solved as follows:

cosine ∅ = adjacent / hypotenuse

cross multiply

hypotenuse cos ∅ = adjacent

divide both sides by cos ∅

hypotenuse cos ∅ / cos ∅ = adjacent / cos ∅

Therefore,

hypotenuse = adjacent / cos ∅

learn more on cosines here: brainly.com/question/10657732?referrer=searchResults

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A politician claims that a larger proportion of members of the news media are Democrats when compared to the general public. Let
kondaur [170]

Answer:

Null hypothesis: p_1 -p_2 =0,

Alternative hypothesis:p_1 -p_2 > 0  

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

Some Notation

p_1 represent the proportion of the news media that is Democrat

p_2 represent the proportion of the public that is Democrat

On this case the claim that they want to test is: "That a larger proportion of members of the news media are Democrats when compared to the general public". So we want to check if the population proportion p1 is higher than p2, so this needs to be on the alternative hypothesis and on the null hypothesis we need to have the complement of the alternative hypothesis.

Null hypothesis:p_1 \leq p_2

Or p_1 -p_2 \leq 0

The null hypothesis can be on this way: p_1 -p_2 =0, but is better put the complement of the alternative hypothesis.    

Alternative hypothesis:p_1 -p_2 > 0  

5 0
3 years ago
Hi. Help me please . I need help
ludmilkaskok [199]

Answer:

Step-by-step explanation:

a. d(x) = x-32

d⁻¹(x) = 1/d(x) = 1/(x-32)

b. if the size in U.S is 10

x= 10

d⁻¹(x) = 1/d(x) = 1/(x-32) = 1/(10-32) = 1/-22= -1/22

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Answer:

B: 19.3

Step-by-step explanation:

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8h+(-6.3d)-15+4d-3.3h
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Answer:

Not exactly sure if you are asking to simplify, but that is all I can do with the information you have given.

Here is the simplified version:

−2.3d + 4.7h − 15

Step-by-step explanation:

Combine Like Terms:

=8h+−6.3d+−15+4d+−3.3h

= (−6.3d+4d) + (8h+−3.3h) + (−15)

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