Answer:
the ship is at a distance of 60 feet
Step-by-step explanation:
we have to think of the problem as a right triangle, since
we have 2 legs and 1 hypotenuse, we know the measure of the leg that gives us the height and the angle that that leg touches
the leg we want to calculate is the opposite of the angle we have, since it does not touch
well to start we have to know the relationship between angles, legs and the hypotenuse
a: adjacent
o: opposite
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
we see that it has (angle, adjacent, opposite)
is the tangent
tan α = o/a
tan 22 = o/150
tan 22 * 150 = o
60.6ft = o
round to the nearest foot
60ft
the ship is at a distance of 60 feet
Answer:
A
Step-by-step explanation:
Using the Sine rule in Δ ABC
= 
, substitute values
= 
( cross- multiply )
BC sin38° = 3 sin66° ( divide both sides by sin38° )
BC = 
→ A
Answer:
(d) y = -5/2x -3
Step-by-step explanation:
All of the offered choices are in slope-intercept form, so it makes sense to put the given equation in that form. Solving for y, we get ...
5x +2y = -4
2y = -5x -4 . . . . . subtract 5x
y = -5/2x -2 . . . . . divide by 2
The system of equations will have <em>no solution</em> if the equations are "inconsistent." That will be the case when the slope is the same, but the y-intercepts are different. That means you're looking for an answer of the form ...
y = -5/2x +c . . . . . . where c is not -2
This matches the last choice:
y = -5/2x -3
Answer:
1.) -4
2.) 3
3.) 4
If you need a little extra help knowing what to do with these problems, you should draw a number line that includes negative and positive numbers. You can count along the number line. It's a good visual aid.
