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Tcecarenko [31]
4 years ago
13

Passing through the point and perpendicular to the given line (-3,5;y=3/4x-4

Mathematics
1 answer:
Inga [223]4 years ago
5 0

Answer:

y= -4/3x + 1

Step-by-step explanation:

the point we're finding is in a line that perpendicular to the line *y=3/4x-4

so its slope multiple with 3/4 is -1 which is -4/3 then plug -3, now we have 4  

since y'=5 we have to add  1

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a forest ranger in a 140-foot observation tower sees a fire moving in a direct path toward a lake. the angle of depression to th
Setler79 [48]

Answer:

1675 ft

Step-by-step explanation:

For us to calculate how close the windmill is to the fire, if we imagine it as a triangle, the distance from watch tower to the fire will be:

tan θ= opposite/adjacent

opposite=140 ft

adjacent = x

θ=3°

Thus;

tan 3 = 140/x

x=140/tan 3

x = 2,671.359 ft

Now, the distance from watch tower to windmill will be:

tan θ=opposite/ adjacent

θ=8°

opposite=140 ft

adjacent=y

thus

tan 8 = 140/y

y = 140/tan8

y=996.15 ft

Now, the distance between fire and wind mill will be:

x - y = 2671.359 - 996.15

x - y = 1675.209 ≈ 1675 ft

6 0
4 years ago
Read 2 more answers
A shoe store marks up it's merchandise by 8 percent what was the selling price of a pair of shoes whose wholesale price is 24.50
ipn [44]

Answer:

sell price is 26.46

Step-by-step explanation:

24.50 x .08 = 1.96

24.50 + 1.96 = 26.46

4 0
4 years ago
What does 1- (-18)<br>don't get this at all...<br>please explain how you do negative numbers.
AysviL [449]
The two negatives cancel out, so it would just mean 1+18, which is 19.
5 0
4 years ago
Describe, in your own words, the identity sin^2(x) + cos^2(x) = 1.
Crank

Look at the attached figure. We define the unit circle as a circle with center A in the origin (0,0) and radius 1.

Then, we consider a point P on the circumference. We call \alpha the angle between the positive half of the x axis and the radius AP.

We define

\cos(\alpha) = \overline{AD},\quad \sin(\alpha) = \overline{AC}

As you can see, ACD is a right triangle, and so we have

\overline{AD}^2+\overline{AC}^2=\overline{AP}^2

But since we know that AD is the cosine, AC is the sine, and AP is the radius (which is 1, and remains 1 when squared), we have just found out that

\cos(\alpha)^2+\sin(\alpha)^2=1

4 0
3 years ago
The owners of a smoothie shop want the price of each size smoothie to be proportional to the amount of liquid it contains. A sma
Dmitriy789 [7]

Answer:

?

Step-by-step explanation:

Whats the question?

7 0
3 years ago
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