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lyudmila [28]
2 years ago
12

Find w and y without a calculator, will give brainliest for the correct answer

Mathematics
1 answer:
love history [14]2 years ago
6 0

Answer: w=4, y=4

Step-by-step explanation:

For this problem, we can use the 30-60-90 triangle to find out what the length of w and y are. 30-60-90 triangle is a special triangle. The hypotenuse is 2x in length. It is directly opposite the right angle. The leg opposite of 60° is x√3 in length. The leg opposite of 30° is x. For all 3 legs, wherever you see x, you plug in the same number.

We can look at the figure as 2 separate triangles.

For the triangle on the right, we can see the hypotenuse is 8. Since we know the length of the hypotenuse is 2x, we can plug in 8 for 2x to find x.

2x=8

x=4

Now that we know x=4, we can directly plug it into the lengths above.

W is across from 30°. Above, we have established that the leg across from 30° has the length of x. Since x=4, w=4.

Since w=4, we can use this information to find the length of y by looking on the left triangle. Now, y is across from 30°. In the first paragraph, we stated that the leg across from 30° is x. Since we know x, we can directly plug it into this. After we plug it in, y=4.

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3 years ago
Sarah is doing research on the average age of first-year resident physicians. She wants her estimate to be accurate to within 1
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Answer: The number of first-year residents she must survey to be 95% confident= 263

Step-by-step explanation:

When population standard deviation (\sigma)  is known and margin of error(E) is given, then the minimum sample size (n) is given by :-

n=(\dfrac{z^*\sigma}{E})^2, z* = Two-tailed critical value for the given confidence interval.

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As, \sigma = 8.265, E = 1

So, n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}]

Hence, the number of first-year residents she must survey to be 95% confident= 263

7 0
3 years ago
1. Yolanda has a 30%-off coupon from her favorite clothing store. She wants to buy a coat that regularly costs $85.40 How much w
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Answer:

59.78

Step-by-step explanation:

Lol I use the calculator and find the cost of 30 of 85.40 than the number of the percent is 25.62 so I subtract them both and got 59.78 as an answer hope this help

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Answer:

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And yes I'm being honest! She is sooo pretty!!!!!!!!

Step-by-step explanation:

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Answer:

It is similar to a mountain in that it is dramatically higher than what is immediately around it. But mountains usually have a distinct apex or peak that is very small relative to the base and not typically level. Plateaus and mesas have tops only a little smaller than the base, and relatively flat. If the aspect ratio is less than 1, plateau. If greater than 1, mesa.

Step-by-step explanation:

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