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3 years ago

A tiny but horrible alien is standing at the top of the Empire State Building (which is

Mathematics

1 answer:

Leto [7]3 years ago

7 0

Answer:

87.7 degrees.

Step-by-step explanation:

In triangle ABC, attached.

The height of the building |AB|=443 meters

The distance of the agent across the street , |BC|=18 meters

We want to determine the angle at C.

Now,

$Tan C=\dfrac{|AB|}{|BC|} \\C=arctan (\dfrac{|AB|}{|BC|} )\\=arctan (\dfrac{443}{18} )\\=87.67^\circ\\\approx 87.7^\circ $(correct to the nearest tenth)$

The agent should sfoot his laser gun at an angle of 87.7 degrees.

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26 inches is how many yards

AlekseyPX

1 yard = 36 inches

The fraction (1 yard / 36 inches) has a numerator and denominator
that are equal. So the fraction is equal to ' 1 ', and we can multiply
(26 inches) by it without changing any value. That'll change the units
of the '26 inches' to 'yards', which is exactly what we need.

(26 inches) x (1 yard/36 inches) = (26/36) yard

That's 13/18 yard, or 0.7222... yard.

3 0

3 years ago

Which of the following results in the difference of two squares? (answer choices below)

Allushta [10]

Answer:

Step-by-step explanation:

Use signs inside the brackets as a guide

16×^2 - 25y^2

6 0

2 years ago

A researcher claims that the average body mass index (BMI) of adult Canadians is more than 25.0. He takes a SRS of 250 Canadians

Serjik [45]

Answer:

The probability of obtaining a result equivalent to or greater than what was the truly observed value of the test statistic is 0.001.

Step-by-step explanation:

The researcher can use a one sample z test to determine whether his claim is correct or not.

The hypothesis to test whether the mean BMI is more than 25.0, is defined as:

H₀: The mean BMI is not more than 25.0, i.e. μ ≤ 25.0.

Hₐ: The mean BMI is more than 25.0, i.e. μ > 25.0.

The test statistic is defined as:

$z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}$

The p-value of the test is,

p = 0.001.

The p-value is well-defined as per the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or greater than what was the truly observed value of the test statistic.

A small p-value (typically ≤ 0.05) specifies sufficient proof against the null hypothesis (H₀), so you discard H₀. A large p-value (> 0.05) specifies fragile proof against the H₀, so you fail to discard H₀.

The p-value of 0.001 indicates that the probability of obtaining a result equivalent to or greater than what was the truly observed value of the test statistic is 0.001.

As the p-value is very small, the null hypothesis will be rejected at any level of significance.

Thus, concluding that the mean BMI of adult Canadians is more than 25.0.

3 0

3 years ago

It takes a turtle 3 ¼ hours to walk 1 ½ miles. How many hours does it take to walk one mile?

Norma-Jean [14]

Answer:

It will take 6/13 hours to walk one mile

Step-by-step explanation:

Here, we want to calculate the number of hours it take to walk one mile

From the question, 1 1/2 miles take 3 1/4 hours

the number of hours it will take to walk 1 mile will be;