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IRISSAK [1]
3 years ago
12

!!! Help ASAP please!!!!In DEF, sin D = 24/26 What is cos E?

Mathematics
1 answer:
Georgia [21]3 years ago
7 0

Answer:

A

Step-by-step explanation:

Cosine is the ratio of "adjacent" to "hypotenuse"

With respect to the Angle E, the adjacent side is FE and the hypotenuse (always opposite side to 90 degree angle) is DE.

We are given DE = 26, but we need FE. We will solve for FE using Pythagorean Theorem, which tells us:

leg^2 + another leg^2 = hypotenuse^2

So, we will have:

10^2 + FE^2 = 26^2

Now, we solve for FE:

10^2 + FE^2 = 26^2\\100+FE^2=676\\FE^2=576\\FE=24

So,

Cos(E) = adj/hyp = 24/26

Correct answer is A

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36pi

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r^2=6*6 which is 36

so 36pi

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Convert the following repeating decimal into a fraction<br> _<br> 0.497
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4 years ago
Television networks frequently run public opinion polls on issues of concern. One network conducted a scientific poll asking a q
kobusy [5.1K]

Answer:

Option d

Step-by-step explanation:

Given that television networks frequently run public opinion polls on issues of concern. One network conducted a scientific poll asking a question concerning the approval rating of the way President Obama was handling the Iraq War. At about the same time a second network ran an online poll using a very similar question.

Observed data is

Poll              Scien      Online total

   

approve    339   385      724

disapprove 780        573     1363

                 1119        958     2087

H_0: Both scientific and online are consistent\\H_a: not consistent

(Two tailed chi square test)

Let us find out expected and chi square

Expected = row total x column total/grand total

The cell count expected in the online poll for those who approve

=\frac{724*968}{2087} \\=333.94

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Hence option d is right.

4 0
3 years ago
Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements? The lengths 14
devlian [24]

Answer:

The lengths 14, 24, and 26 cannot be the sides of a right triangle.  The lengths 30, 72, 78 can be the sides of a right triangle.

Step-by-step explanation:

To prove that the lengths 14, 24, and 26 cannot be the sides of a right triangle:

a=14, b=24, c=26

Pythagoreon theorem: a^2+b^2=c^2

substitute values in: 14^2+24^2=26^2

simplify: 196+576=676

simplify again: 772=676, which is not true

This proves that the lengths 14, 24, and 26 cannot be the sides of a right triangle.

To prove that the lengths 30, 72, and 78 can be the sides of a right triangle:

a=30, b=72, c=78

Pythagoreon theorem: a^2+b^2=c^2

substitute values in: 30^2+72^2=78^2

simplify: 900+5184=6084

simplify again: 6084=6084, which is true

This proves that the lengths 30, 72, and 78 can be the sides of a right triangle.

5 0
3 years ago
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