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mel-nik [20]
3 years ago
6

A tiny but horrible alien is standing at the top of the Empire State Building (which is 443 meters tall) and threatening to dest

roy the city of New York!
A Men In Black agent is standing at ground level, 18 meters across the street, aiming his laser gun at the alien.
At what angle, in degrees, should the agent shoot his laser gun?
Mathematics
1 answer:
oee [108]3 years ago
4 0

Answer:

87.7 degrees

Step-by-step explanation:

tan x = AB/BC

tan x = 443/18

tan x= 24.61111

x = tan^-1(24.61)

x=87.67 and is rounded to 87.7

You might be interested in
The coordinates on a map for City A are (57, 11) and those for City B are (121, 79). Note that coordinates represent miles. Find
Juliette [100K]

Answer:

93 miles

Step-by-step explanation:

Use the distance formula:

d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}

Plug in the values:

d = \sqrt{(121 - 57)^2 + (79 - 11)^2}

d = \sqrt{4096 + 4624}

d = \sqrt{8720}

d = 93.4

= 93 miles

4 0
4 years ago
Read 2 more answers
Domain and range of the graph, is it a function?​
Elenna [48]

Answer:

  • domain: [0, ∞)
  • range: (-∞, ∞)
  • not a function

Step-by-step explanation:

The arrows indicate the graph continues indefinitely in the direction indicated.

The domain is the horizontal extent, so is the interval from 0 to infinity, including 0.

The range is the vertical extent, so extends from negative infinity to positive infinity (all real numbers).

The graph does not pass the vertical line test: a vertical line intersects it in more than one place, so the relation is NOT a function.

4 0
3 years ago
Find each missing measure.
Anni [7]

Answer:

m∠E= 37°

m∠F=37°

Step-by-step explanation:

Total angle value: 180°

180-106=74

The lengths are the same, so we can determine that the angles E and F are the same. So we divide 74 by 2

74/2= 37

m∠E= 37°

m∠F=37°

Hope this helps! Have a nice day :)

7 0
3 years ago
When a deposit of $1000 is made into an account paying 2% interest, compounded annually, the balance, $B, in the account after t
labwork [276]

Answer:

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

Step-by-step explanation:

Given a function y, the average rate of change S of y=f(x) in an interval (x_{s}, x_{f}) will be given by the following equation:

S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}}

In this problem, we have that:

B(t) = 1000(1.02)^{t}

Find the average rate of change in the balance over the interval t = 0 to t = 5.

B(0) = 1000(1.02)^{0} = 1000

B(5) = 1000(1.02)^{5} = 1104.08

Then

S = \frac{1104.08 - 1000}{5-0} = 20.82

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

8 0
3 years ago
9. Three minutes after a hot tub starts to fill, the tub contains 24
Marianna [84]

Answer:

8 gallons per minute

Step-by-step explanation:

24 gallons in 3 minutes

you divide 24 by 3 which is 8

40 gallons in 5 minutes

you divide 40 by 5 which is 8

the relationship is that in both the answer was 8 as in 8 gallons per minute

6 0
3 years ago
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