Answer:
k=-j=15
Step-by-step explanation:
See attachment for step by step :)
That is true because you are still dividing x by three either way
Answer:
74.5°
Step-by-step explanation:
Hannah, the kite and Patricia form the vertices of a right-angled triangle with the hypotenuse side the length of the string L = 60 feet and adjacent side the distance between Hannah and Patricia = d = 16 feet.
Let the angle between the string and the sand be Ф.
By trigonometric ratios,
cosФ = adjacent/hypotenuse
= d/L
= 16 feet/60 feet
= 0.2667
Ф = cos⁻¹(0.2667)
= 74.53°
≅ 74.5°
So, he angle between the string and the sand is Ф = 74.5°
9514 1404 393
Answer:
- northbound: 2.5 hours
- southbound: 1.5 hours
Step-by-step explanation:
When the second train leaves the station, the trains are already 63 miles apart. The rate of increase of their separation is (57 +63) = 120 miles per hour. The remaining 243-63 = 180 miles of separation will be achieved in ...
(180 mi)/(120 mi/h) = 1.5 h
The northbound train will have traveled 2.5 hours; the southbound train will have traveled 1.5 hours when the trains are 243 miles apart.
Answer:
The radius of hole is 5 feet
Step-by-step explanation:
Depth of conical hole = 9 feet
Let the radius of hole be r
Volume of conical hole =
So, Volume of conical hole =
We are given that volume of a CONE-shaped hole is 75pi ft cubed.
So,
r=5
Hence The radius of hole is 5 feet
