Answer:

Step-by-step explanation:
We can see it on the given table of values.
The correct answer is 60⁰.
Step-by-step explanation:
- An angle whose measure is 60⁰ is rotated more than halfway around a circle.
- Since, we have to find the measure of angle.
- As we already know that the angle of rotation about a circle is 360° therefore we have to find more than halfway of this angle.
- Considering that an angle is rotated more than halfway around a circle be

- Multiplying
with 360⁰ - Therefore, it can show as
×360⁰ - Which gives the result to be 60⁰
- Hence, when an angle is measured 60⁰, it is rotating more than halfway around a circle.
- A single rotation around a circle is equal to 360 degrees.
- The measurement of an angle shows the magnitude and direction of the rotation of the angle from its initial position to the final position.
- If the rotation is in a counterclockwise direction, it has an angle with positive measure. If the rotation is clockwise, it has an angle which gives negative measure.
Answer:
14 rides
Step-by-step explanation:
16 = 0.79x + 4.5
11.5 = 0.79x
x = 14.55 or 14
rounding down because it can't go over $16.
0.79(14) + 4.5 = $15.56
Answer:
(a)123 km/hr
(b)39 degrees
Step-by-step explanation:
Plane X with an average speed of 50km/hr travels for 2 hours from P (Kano Airport) to point Q in the diagram.
Distance = Speed X Time
Therefore: PQ =50km/hr X 2 hr =100 km
It moves from Point Q at 9.00 am and arrives at the airstrip A by 11.30am.
Distance, QA=50km/hr X 2.5 hr =125 km
Using alternate angles in the diagram:

(a)First, we calculate the distance traveled, PA by plane Y.
Using Cosine rule

SInce aeroplane Y leaves kano airport at 10.00am and arrives at 11.30am
Time taken =1.5 hour
Therefore:
Average Speed of Y

(b)Flight Direction of Y
Using Law of Sines
![\dfrac{p}{\sin P} =\dfrac{q}{\sin Q}\\\dfrac{125}{\sin P} =\dfrac{184.87}{\sin 110}\\123 \times \sin P=125 \times \sin 110\\\sin P=(125 \times \sin 110) \div 184.87\\P=\arcsin [(125 \times \sin 110) \div 184.87]\\P=39^\circ $ (to the nearest degree)](https://tex.z-dn.net/?f=%5Cdfrac%7Bp%7D%7B%5Csin%20P%7D%20%3D%5Cdfrac%7Bq%7D%7B%5Csin%20Q%7D%5C%5C%5Cdfrac%7B125%7D%7B%5Csin%20P%7D%20%3D%5Cdfrac%7B184.87%7D%7B%5Csin%20110%7D%5C%5C123%20%5Ctimes%20%5Csin%20P%3D125%20%5Ctimes%20%5Csin%20110%5C%5C%5Csin%20P%3D%28125%20%5Ctimes%20%5Csin%20110%29%20%5Cdiv%20184.87%5C%5CP%3D%5Carcsin%20%5B%28125%20%5Ctimes%20%5Csin%20110%29%20%5Cdiv%20184.87%5D%5C%5CP%3D39%5E%5Ccirc%20%24%20%28to%20the%20nearest%20degree%29)
The direction of flight Y to the nearest degree is 39 degrees.
Your answer will most likely be D. h > 42 and h must be a positive number. Reasoning: H has to be greater than 42 to ride the ride, and it cannot be a negative number because H has to be greater than 42 and if you make it negative, it will be less than 42