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Sloan [31]
3 years ago
5

The angle of elevation from Nathan to a lighthouse is 74°.

Mathematics
1 answer:
Natalka [10]3 years ago
5 0

Answer:

Nathan is 36.3910059 ft from the base of the lighthouse.

Step-by-step explanation:

So to find the base, you have to find the tan (both legs) of the right triangle that the lighthouse makes. The angle of Nathan to the lighthouse is 74° so to find the distances, you have to do the tan(72) = opp/adj

The opposite is 112, and we have to find the adjacent.

tan(72) = 112/adj

3.07768354 = 112/adj

adj = 112/3.07768354

adj = 36.3910059

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KIM [24]

answer:

( \frac{1}{7}, 1)

explanation:

- 5y =  - 5 \\ 7x + 6y = 7 \\ divide \: both \: sides \: by \:  - 5 \\  \\ y = 1 \\  \\ 7x + 6y = 7 \\ substitute \: the \: value \: of \: y \: into \: an  \\ equation \\  \\ 7x + 6 \times 1 = 7 \\ multiply \: 6 \: to \: 1 \\  \\ 7x + 6 = 7 \\ subtract \: 6 \: from \: both \: sides \\  \\ 7x = 1 \\ divide \: both \: sides \: by \: 7 \\  \\ x =  \frac{1}{7} \\  \\  (\frac{1}{7}, 1)

4 0
4 years ago
the median weekly earnings for american workers in 1990 was $412 and in 1999 it was $549. Calculate the average rate of change b
mina [271]

The rate of change between 1990 and 1999 is 15.22

Step-by-step explanation:

The rate of change in this case is given by change in quantity divided by change in time

So,

Rate\ of\ change = \frac{Increase\ in\ money}{Increase\ in\ time}\\=\frac{549-412}{1999-1990}\\=\frac{137}{9}\\=15.22

Hence,

The rate of change between 1990 and 1999 is 15.22

Keywords: Rate of change, median

Learn more about median at:

  • brainly.com/question/10764770
  • brainly.com/question/1087090

#LearnwithBrainly

5 0
3 years ago
The shape shown consists of three sides of a rectangle together with a semicircle. Which of the following is
cluponka [151]

Answer:

The perimeter of the shape is 32.5

Step-by-step explanation:

Since the dashed line is not a perimeter,

we add the circumference of the circle plus the 3 sides of the rectangle

The circumference is of the half circle with its diameter being the opposite side of the rectangle

The opposite side is the length 10

So the radius is half of this which is 10/2 = 5

The circumference of the semicircle is thus;

pi * r = 22/7 * 5 = 15.71

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semi is half of full so we divide formula by 2

So let’s add up

15.71 + 10 + 3.4 + 3.4 = 32.51

7 0
3 years ago
Difficult for me but should be easy for some big brain out there
MariettaO [177]

Answer:

I would say the last one

Step-by-step explanation:

7 0
3 years ago
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ArbitrLikvidat [17]
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