The answer is y = -1/5x + 5
Perpendicular means the opposite reciprocal of the slope. The reciprocal of 5 would be 1/5. The opposite sign would be negative, so -1/5.
The equation that you use is y - y1 = m(x - x1)
The point is (-15,8).
x1 = -15
y1= 8
m= -1/5
y - 8 = -1/5(x - (-15)).
The 15 becomes positive.
y - 8 = -1/5(x+15)
Distribute
y - 8 = -1/5x - 3
Add 8 to both sides
y = -1/5x + 5
Divide the total amount of ribbon by the length of each individual ribbon:
30 ft / 0.625 ft = 48
She can make 48 ribbons.
Answer:
=
412
feet
Step-by-step explanation:
The angle of depression is always measured from the horizontal.
A triangle is formed by the lighthouse, the ground and the boat. The angle of depression is not in the triangle, but it is equal to the angle of elevation at the boat. (Alternate angles on parallel lines)
The angle at the top of the lighthouse, inside the triangle is:
90°−27°
=63°
The distance to the boat is the side opposite the angle of
63°
while the height of the lighthouse is the adjacent side.
opposite
adjacent
=tan 63°
distance
210=tan 63°
distance=210×tan 63°=412 feet
Answer:
A, D, E
Step-by-step explanation:
A) 32/3 x 9/10 = 96/10 = 9.6
D) 1/8 x 32/3 = 4/3 = 1.33
E) 2/3 x 3/5 = 2/5 = 0.4
Answer:
4×3=12
answer=12
Step-by-step explanation:
2.5 is the diameter so you don't use that but
if you want the area it is 12
if you want the perimeter it
will be 3+3+4+4
Which is 6+8=14
