Answer: 24 laps
Step-by-step explanation: it’s a ratio, so a fraction. 4/6 = x/36
cross multiply and get 6x = 144
divide by 6 and get x = 24
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Answer:
height of the flag from the bottom of the boat ≈ 32 ft (nearest foot)
Step-by-step explanation:
She is on her boat and the angle of elevation to the top of the flag is 58°. Her eyes her 6 ft above the bottom of the boat she is sailing on. The height of the flag from the bottom of the boat is the sum of the height of the flag and the remaining height from the horizontal line of sight upward to the flag top.
A right angle triangle was formed Shianne line of sight. The angle from her line of sight is 58° from the horizontal. Therefore,
the adjacent side of the triangle formed is 16 ft which is the distance from the boat to the flag.
adjacent side = 16 ft
opposite angle = ?
using tangential ratio
tan 58° = opposite/adjacent
tan 58° = h/16
cross multiply
h = 16 × 1.60033452904
h = 25.6053524647
height of the flag from the bottom of the boat = 25.6053524647 + 6 = 31.6053524647
height of the flag from the bottom of the boat ≈ 32 ft(nearest foot)
Answer:
D) 6.4
Step-by-step explanation:
The Angle Bisector Theorem says that an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle.
This means that:
18/9.6 = 12/x
Solving for x:
x = 12*9.6/18
x = 6.4
<h3>
Answer: 4</h3>
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Explanation:
Locate -5 on the x axis number line. Draw an arrow going upward until you reach the function curve. Then move horizontally until you reach the y axis. You should arrive at y = 4. Therefore, f(-5) = 4 and it means the point (-5, 4) is on the function curve.
Check out the diagram below.
