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3 years ago

Please help

Mathematics

1 answer:

ddd [48]3 years ago

7 0

Answer:

Step-by-step explanation:

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From the top of a 210 foot lighthouse located at sea level, the keeper spots a boat at an angle of depression of 23 degrees

denpristay [2]

The distance from the lighthouse to the boat will be given by:
tan θ=opposite/adjacent
θ=angle of depression=23
opposite= height of the lighthouse
adjacent=distance from the boat to the bottom of the light house
hence
tan 23=210/a
thus solving for a we obtain:
a=210/tan23
hence
a=494.73 ft

6 0

3 years ago

Rachel has a box in the shape of a prism with a square base. The capacity of the box is 150 cubic inches. The height of the box

hjlf

V = s²h

150 = s²h 
150 = s²(3/2)s 
(2/3)150 = s³ 
100 = s³ 
s = ∛100 (approx 4.642 in)

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3 years ago

Solve the system of equations 9x + 2y = 11 and 9x + y = 1 by combining the equations

Dennis_Churaev [7]

The answer to the question

4 0

2 years ago

2x + 3y = 17 5x + 6y = 32 Usibg method if elimination

lions [1.4K]

Answer:

Solution (-2, 7)

Step-by-step explanation:

2x + 3y = 17 (1)

5x + 6y = 32 (2)

Using elimination method

Multiply (-2) to the equation (1)

-4x - 6y = -34

Now you have 2 new equations

-4x - 6y = -34

5x + 6y = 32

----------------------------Add

x = -2

Substitute x = -2 into 2x + 3y = 17

2(-2) + 3y = 17

- 4 + 3y = 17

3y = 21

y = 7

Solution (-2, 7)

6 0

2 years ago

The graph below shows a quadratic function f(x) and an absolute value function g(x)

Sophie [7]

Answer:

The x-values that are approximate solution of the equation $f(x) = g(x)$ are $x_{1} \approx -3.5$ and $x_{2}\approx 5$ , respectively.

Step-by-step explanation:

From graph we infer that the x-values that represents a solution to the system of equations corresponds to those values of x in which both functions coincide. As we see, there are two x-values for $f(x) = g(x)$ , which are described below:

$x_{1} \approx -3.5$ and $x_{2}\approx 5$

The x-values that are approximate solution of the equation $f(x) = g(x)$ are $x_{1} \approx -3.5$ and $x_{2}\approx 5$ , respectively.

6 0

3 years ago