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.
Answer:
x=75
Step-by-step explanation:
A( I mean angle)+B+C+D=360°
A=C
B=D
2A+2D=360°
A+D=180°
30°+x+x=180°
2x=150°
x=75
Place value is the value individual digit has in its location:
in order from higher to lower value, there is thousands, hundreds, tens, and
ones.
When you divide by 10, you are affecting (only once) every digit from its current
place value to the right.
For example 1000 divided by 10 = 100, you have relocated every digit to the
right, making the zero dissolve (or better yet, divided by a hidden and in this
case unusable comma).
The area of the rectangle is 
units.
Step-by-step explanation:
Step 1:
The area of a rectangle is obtained by multiplying the length with the width of the rectangle.
Considering this a whole rectangle, the length of the rectangle is 5 units and the width is the sum of 
, 
, and -6.
So the length of the rectangle = 5 units and
the width of the rectangle 
units.
The area of a rectangle = (length)(width).
Step 2:
By substituting the known values, we get
The area of the rectangle 
So the area of the rectangle is units.
Answer:
C.
Step-by-step explanation:
It was an estimated answer, therefore C. is correct because even if he did do the full calculation he would get 5211, which is still less than 6000.
Also, brainliest, please??
