Answer:
h = 109.9 in
Step-by-step explanation:
The above question can be solved using trigonometric ratio formula,
tan θ = opposite/adjacent
tan θ = tan 70° ≈ 2.7475
opposite = height of lamppost = h in
Adjacent = 40 in
Thus,


Multiply both sides by 40 to solve for h

h = 109.9 inches
The height of the lamppost = h = 109.9 inches (to nearest tenth)
Answer:
Positive Coterminal Angles = 60°,780°
Negative Coterminal Angles = -300°, -660°
Step-by-step explanation:
<h3>
Positive Coterminal Angles:</h3>
To find nearest two coterminal angle of 420°:
1) Subtract 360° from 420°:
420°- 360° = 60° (First Positive Coterminal Angle)
2)Add 360° to 420°:
420°+ 360° =780° (Second Positive Coterminal Angle)
<h3>
Negative Coterminal angles:</h3>
To find nearest two negative coterminal angles of 420°. We' lave to take the value below 0.
1) Substract 360° from 420°
420°- 360° = 60°
Which is still a positive value.
2) Again Substract 360° from 60°
60°- 360° = -300° (First Negative Coterminal Angle)
3)Subtract 360° from -300°
-300°- 360° = -660° (Second Negative Coterminal Angle)
Answer:
A Substitution
Step-by-step explanation:
Trust me were doing this in math
Answer: The player is catching the ball at (4,25), therefore the second option is correct.
Explanation:
It the given graph x-axis represents the time (in seconds) after throw and y-axis represents the distance from goal (in yards).
In the graph violet and orange lines represents the distance of player and ball respectively, from the goal at different point of time.
The player will catch the ball when the distance of player and ball from the goal is same on the single point of time.
The point of time where distance of player and ball from the goal is same, is the point of intersection of both lines.
From the graph it is clearly noticed that both lines violet and orange insects at point (4,26), therefore player is catching the ball at (4,25), therefore the second option is correct.
Answer:
24
Step-by-step explanation:
you would multiply 3 tables by 4 students, that would be twelve. then 12 times 2, which is 24. Or you could find the pencils by multiplying 2 with 8 and then multiplying by 3. :)