A variable next to any number means to multiply, so we would do the inverse operation -- We would divide 0.48 by 0.6, which is 0.8. Therefore, W=0.48. To check your work, multiply 0.6 by 0.8, and what do you know? It's 0.48! :)
Answer:
length is 29.3, width is 3
Step-by-step explanation:
A= L×W
and if A = 88 and W is 3
88= L×3
Divide
88/3
legth =29.3
It is equal to 26 if you didn’t understand you can ask more questions and I’ll help
Answer:
They make heart shapes! hearts look like <3
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:
![\angle Q=110^\circ](https://tex.z-dn.net/?f=%5Cangle%20Q%3D110%5E%5Ccirc)
(a)First, we calculate the distance traveled, PA by plane Y.
Using Cosine rule
![q^2=p^2+a^2-2pa\cos Q\\q^2=100^2+125^2-2(100)(125)\cos 110^\circ\\q^2=34175.50\\q=184.87$ km](https://tex.z-dn.net/?f=q%5E2%3Dp%5E2%2Ba%5E2-2pa%5Ccos%20Q%5C%5Cq%5E2%3D100%5E2%2B125%5E2-2%28100%29%28125%29%5Ccos%20110%5E%5Ccirc%5C%5Cq%5E2%3D34175.50%5C%5Cq%3D184.87%24%20km)
SInce aeroplane Y leaves kano airport at 10.00am and arrives at 11.30am
Time taken =1.5 hour
Therefore:
Average Speed of Y
![=184.87 \div 1.5\\=123.25$ km/hr\\\approx 123$ km/hr (correct to three significant figures)](https://tex.z-dn.net/?f=%3D184.87%20%5Cdiv%201.5%5C%5C%3D123.25%24%20km%2Fhr%5C%5C%5Capprox%20123%24%20km%2Fhr%20%28correct%20to%20three%20significant%20figures%29)
(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.