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AnnZ [28]
2 years ago
9

A helicopter hovers 1450 feet above a small island. The figure shows that the angle of depression from the helicopter to point P

is 41 How far off the​ coast, to the nearest​ foot, is the​ island?
Mathematics
1 answer:
puteri [66]2 years ago
5 0

Answer:

1668 feet.

Step-by-step explanation:

We know the opposite side of the right triangle and we need the adjacent side, so we use the tangent function.

If the distance required is x  (adj side) we have:

tan 41 = opp/adj

tan 41 = 1450/x

x = 1450 / tan 41

= 1668.03

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In 2010, the population of a city was 161,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 6.7%.
solniwko [45]

Answer:

99%

Step-by-step explanation:

2010 population = 161,000

From 2010 to 2015, the population grew by 8%.

2010 to 2015 = 161,000 + (8% of 161,000)

= 161,000 + (0.08 * 161,000)

= 161,000 + 12,880

= 173,880

2010 to 2015 = 173,880

From 2015 to 2020, it fell by 6.7%

2015 to 2020 = 173,880 - (6.7% of 173,880)

= 173,880 - (0.067 * 173,880)

= 173,880 - 11,649.96

= 162,230.04

2015 to 2020 = 162,230.04

what percent did the city grow from 2010 to 2020.

= 161,000 / 162,230.04 × 100

= 0.9924179270374 × 100

= 99.241792703743

Approximately, 99% to the nearest whole number

4 0
2 years ago
A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets
mrs_skeptik [129]

Answer:

adult $8.00

child $5.50

Step-by-step explanation:

Let the price of 1 adult ticket = x.

Let the price of 1 child ticket = y.

2x + 4y = 38

3x + 3y = 40.5

Multiply the first equation by 3. Multiply the second equation by -2. Then add them.

         6x + 12y = 114

(+)      -6x - 6y = -81

-----------------------------

                  6y = 33

y = 33/6

y = 5.5

2x + 4y = 38

2x + 4(5.5) = 38

2x + 22 = 38

2x = 16

x = 8

Answer:

adult $8.00

child $5.50

4 0
3 years ago
Read 2 more answers
In the graph, the triangle on the top is the pre-image.
Ber [7]

Answer:

option a

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is a rational number between 7.7 and 7.9
Luda [366]
Hey mate ,

here is your answer

**********************

The average between any two rational numbers is also rational.
(7.7 + 7.9)/2 = 7.8
7.8 is rational because it can be written as a fraction with integer numerator and denominator (39/5) and it is also a terminating decimal.

7 0
3 years ago
Read 2 more answers
Please this urgent! I need your help in these questions, it would be very appreciated.
Paraphin [41]

Answer:

3 is continous. 4 is discrete

Step-by-step explanation:

3 houses 2 terms, therefore continuing it. 4 houses 1, stopping the graph.

I might be dumb

3 0
3 years ago
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