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11Alexandr11 [23.1K]
3 years ago
14

If a 30 -meter pine tree casts a shadow of 30 meters, how far is the tip of the shadow from the top of the tree?

Mathematics
1 answer:
ser-zykov [4K]3 years ago
3 0
From the information given, this scenario creates a 45-45-90 triangle, allowing us to use the Pythagorean Theorem. 30^2+30^2=x^2. 30^2 is 900, so now you have 900+900=x^2. Add to make 1800=x^2. Now take the square root of both sides. It should come out to be about 42.43 meters.
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3 years ago
A medical devices company wants to know the number of hours its MRI machines are used per day. A previous study found a standard
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The company has to study 199 machines.

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

It is given that;

Margin of error E = 0.7

Confidence interval 98% = 1-0.98 = 0.02

Standard deviation = 6 hours

Number of MRI machines needed per day n, = [(z alpha/2 * SD)/E]²

Z alpha/2 = 1.645 at alpha = 0.1

Inputting these values into n we have that

[(1.645*6)/0.7]²

= 14.1²

= 198.81 is approximately equal to 199

The company has to study 199 machines.

To know more about standard deviation visit: brainly.com/question/475676

8 0
2 years ago
2 &gt; s-2<br> line under &gt;
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3 years ago
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2 years ago
Write an equation of the circle with center (-7,4) and radius 11.
olga_2 [115]

Answer: (x+7)^2 + (y-4)^2 = 121  or  (x+7)^2 + (y-4)^2 = 11^2

Step-by-step explanation:

Equation of the circle is:

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-Place the center (-7,4) and radius 11 onto that equation:

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or

(x+7)^2(y-4)^2=11^2

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3 years ago
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