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yuradex [85]
4 years ago
11

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

Mathematics
1 answer:
Leto [7]4 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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anne buys used cars at auction for 2000 per car. there is 150 fee to take part in the auction. If anne buys 13 used cars how muc
katrin [286]
How to understand the problem is like this:
   Total Cost = Entrance Fee + Total Car cost
So we know that the Entrance Fee is $150...
   Total Cost = $150 + Total Car cost
So we know that Anne bought 13 cars, each at $2,000...
   Total Cost = $150 + ($2,000 x 13)
We multiply because each car is $2,000 and Anne bought 13 of them.
So it works out like this:
   Total Cost = $150 + ($2,000 x 13)
   Total Cost = $150 + (26000)
   Total Cost = $26150
5 0
4 years ago
Last​ year, a person wrote 126 checks. Let the random variable x represent the number of checks he wrote in one​ day, and assume
Arisa [49]

Answer:  The mean number of checks written per​ day  =0.3452

Standard deviation=0.5875

Variance  =0.3452

Step-by-step explanation:

Given : The total number of checks wrote by person in a year = 126

Assume that the year is not a leap year.

Then  1 year = 365 days

Let the random variable x represent the number of checks he wrote in one​ day.

Then , the mean number of checks wrote by person each days id=s given by :-

\lambda=\dfrac{126}{365}\approx0.3452

Since , the distribution is Poisson distribution , then the variance must equal to the mean value i.e. \sigma^2=\lambda=0.3452

Standard deviation : \sigma=\sqrt{0.3452}=0.5875372328\approx0.5875

6 0
4 years ago
Fatima evaluated the expression when m = -2 and n = 4. Her work is shown below.
Kruka [31]

Answer:

The answer to your question is: third option is correct.

Step-by-step explanation:

The third option is correct

                                           4(-2)⁻²(4)⁻³

                                           \frac{4}{(2)^{2}(4)^{3}}}

                                           

4 0
3 years ago
Read 2 more answers
Recipe for a cake needs 1 1/2 cups of milk. You are making 1/2 of the recipe. How much milk do you need
nalin [4]

Answer:

3/4

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
alabama power came by my house that i just bought and installed a new wire support for one of the telephone poles on the propert
PolarNik [594]

Answer:

30 feets

Step-by-step explanation:

subtrqct 55-25 = 30

8 0
3 years ago
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