Answer:
Step-by-step explanation:
in third quadrant sin is negative.
sin² θ+cos² θ=1
sin²θ+(-16/20)²=1
sin²θ+(-4/5)²=1
sinθ=±√(1-16/25)
=±√((25-16)/25)
=±√(9/25)
=±3/5
so
sin θ=-3/5
Answer:
The dog will catch the cat at time greater than 33.33 sec
Step-by-step explanation:
Let
x------> distance the cat runs before being caught by the dog, if they started running towards each other simultaneously
Remember that
The speed is equal to divide the distance by the time
v=d/t
solve for t
t=d/v
so
equate the time
x/24=(200+x)/30
30x=24(200+x)
30x=4,800+24x
30x-24x=4,800
x=4,800/6=800 m
t=d/v=800/24=33.33 sec
or
t=(800+200)/30=1,000/30=33.33 sec
Remember that
the dog starts running after the cat
therefore
The dog will catch the cat at time greater than 33.33 sec
Answer:
<h3> C.</h3>
Step-by-step explanation:
If two parallel lines are cut by a transversal then alternate exterior angles are equal.
Therefore:
3x - 8 = x + 88
+8-x +8-x
2x = 96
÷2 ÷2
x = 48
Answer:
y > -1/4x + 4
Step-by-step explanation:
First find the equation of the line itself, which is y = -1/4x + 4, then determine if graph shades above the line or below the line. If it shades above which is true in this case, it will be greater than. If it shades below which does not occur in this case, it will be less than. Because the line is dashed and not solid, it will just be greater than or less than.
Therefore y = -1/4x + 4 → y > -1/4x + 4 [Shades above the line, line is dashed].