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kvasek [131]
4 years ago
14

A ranger spots a forest fire while on a 60-meter observation tower. The angle of depression from the tower to the fire is 25°. T

o the nearest meter, how far is the fire from the base of the tower?
Mathematics
1 answer:
Vikentia [17]4 years ago
7 0

27.98ft

You can get this by using the tangent formula. The answer exactly expressed is 60tan25.
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Write the equation of the line in fully simplified slope Intercept form.
andre [41]

Answer:

y = -0.83x - 2

Step-by-step explanation:

Slope intercept form is y = mx+b.

M is the slope: In this case the slope (rise/run) is 10/12. However, the slope is decreasing is that would make it negative.

Now we have: y = -0.83x + b

B represents the y-intercept. The y-intercept here is -2. So our final equation is:

y = -0.83x - 2

8 0
3 years ago
The sum of the square root of a number and 6
Anna007 [38]

Answer:

36

Step-by-step explanation:

4 0
3 years ago
How many solutions does the system of equations have? Pls help :(
goldfiish [28.3K]

Given the system of equations below:

\large{ \begin{cases} y = 2x + 1 \\  - 4x + 2y = 2 \end{cases}}

The first equation is y-isolated so we can substitute in the second equation.

\large{ - 4x + 2(2x + 1) = 2}

Use the distribution property to expand in and simplify.

\large{ - 4x + 4x + 2 =  2} \\  \large{0 + 2 = 2 \longrightarrow 2 = 2}

The another method is to divide the second equation by 2.

\large{ \frac{ - 4x}{2}  +  \frac{2y}{2}  =  \frac{2}{2} } \\  \large{ - 2x + y = 1}

Arrange in the form of y = mx+b.

\large{y = 1 + 2x \longrightarrow y = 2x + 1}

When we finally arrange, compare the equation to the first equation. Both equations are the same which mean that both graphs are also same and intersect each others infinitely.

For more information, when the both sides are equal for equation - the answer would be infinitely many. If both sides aren't equal (0 = 4 for example) - the answer would be none. If the equation can be solved for a variable then it'd be one solution.

Answer

  • Infinitely Many

Hope this helps. Let me know if you have any doubts!

3 0
3 years ago
17. Together, siblings Kathryn, Ryan, Jason, and Pete owe their parents $120. Show how much each sibling owes if they share the
Vladimir [108]

Answer:

30$

Step-by-step explanation:

Divide 120 by 4 and you will get the awnser

6 0
4 years ago
Read 2 more answers
HELLLLLLLLLPPPPPPPPP , mathhhhhhhhhhhhhhh
madreJ [45]

i think it's 6 because that's how many y points shifted from when x = 0 and to x = 1

8 0
4 years ago
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