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stich3 [128]
3 years ago
8

In triangle DEF measurement angle D = 45 degrees meausrement angle E = 63 degrees and EF = 24 inches. What is DE to the nearest

tenth of a inch?

Mathematics
2 answers:
alexandr1967 [171]3 years ago
7 0
Since the angles add to 180°, angle F is 72°.

Using the law of sines,

DF/sin72° = 24/sin45°
x = 32.28

So, did you just guess at A?

This is just an answer from another website, but it should still work.
Tcecarenko [31]3 years ago
4 0

Answer:

DE = 32.8 inches is the answer.

Step-by-step explanation:

It is given that In the given triangle DEF, angle D = 45°, ∠E = 63° and EF = 24 inches.

We have to calculate the length of DE.

From the sine rule of a triangle

\frac{sin D}{EF}=\frac{sinF}{DE}

As we know sum of all angles of a triangle is 180°

Therefore ∠D + ∠E + ∠F = 180°

45 + 63 + F = 180

F = 180-108 = 72°

Now from the sine rule written above

\frac{sin45}{24}=\frac{sin72}{DE}

\frac{0.71}{24}=\frac{0.95}{DE}

.029 = .95/DE

DE = 0.95/0.029 = 32.75 ≈ 32.80 inches

Answer will be DE = 32.80 inches

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Suppose a bag contains 4 white chips and 6 black chips. What is the probability of randomly choosing a white chip, not replacing
Marysya12 [62]
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Comment
(my edit) it is not that 2/15 is wrong (although it is not entirely right).
1/3 is the correct answer if you assume that what happened during the first draw has nothing to do with what will happen on the second. It is like saying if you throw 11 heads in a row with a fair coin, what are the chances of throwing a heads on the 12th throw? The answer is 1/2. That is the same kind of question you have asked.

The two of us who have responded have really responded to what are the chances of drawing 2 white chips. The question really does not restrict us in a way that prevents us from saying that. I'll stick with
B <<<< answer
but I think it would be nice if the writer of the question made it clear that 1/3 should be the proper answer. I am glad you came back and posted the right answer. It makes me think. 

The semi right answer is B <<<<---- 

If my reasoning bothers anybody, I'll reedit again. I'm only leaving it because sometimes a mistake is more instructive than a given answer.
5 0
3 years ago
Read 2 more answers
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What? Where’s the rest?
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Hunter-Best [27]

at first we write each one as a sequence

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so the third table is the nonlinear function

8 0
3 years ago
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