In the above figure, the Angles P and Q are equal, so their opposite sides will be equal too.
i.e. 5n = 32 + n
now, let's solve for n :
Length of PR :
Answer:
B. 10 1/2 feet
Step-by-step explanation:
We are told that she taped 7 boxes.
We are also told that she uses 1 1/2 feet of tape to close each box.
Therefore, the length of tape she will need to use for the 7 boxes will be the product of 7 boxes and 1 1/2 feet of tape per box:
L = 1 1/2 * 7 = 3/2 * 7 = 21/2 = 10 1/2 feet.
She will need to use 10 1/2 feet of tape.
Answer:
8.18 cubic inches
Step-by-step explanation:
An orange is a sphere so you will use the formula for the volume of a sphere.
V= 4
/3 * π * r^3 r^3= 1.25* 1.25 * 1.25= 1.953
V= 4/3* 3.14 * 1.953 = 8.176=8.18
From the equation of motion, we know,

Where s= displacement
u= initial velocity
a= gravitational force
t= time
Displacement is 0 since the ball comes back to the same point from where it was thrown.
A =
since the ball is thrown upwards.
Plug the known values into the equation.
=> 
Solving for u gives :
u= 16.67 m/ sec ....... equation (1)
At maximum height, final velocity i.e v is 0
Time take to reach the top = 

=> 
Solving for s we get
s= 14.16 m