Answer:
Step-by-step explanation:
A corresponds to angle P, so angle P measues 70 degrees.
Similarly, angle Q measures 60 degrees and angle R measures 50 degrees.
Volume=legnth times width times height
legnth=8
width=5
height=4
volume=8 times 5 times 4=160
volume is 160 cubic inches or 160 in^3
ANSWER

EXPLANATION
The volume of a cylinder is given by the formula:

The given cylinder has diameter 6. This means that, the radius is


The is height is


We substitute the values into the formula to obtain;



The volume is

to the nearest hundredth
Mandy Increases her books by 2 per month.
Bill increases his books by 4 per month.
Month Mandy Bill
May 18 4
June 20 8
July 22 12
August 24 16
Sept 26 20
Oct 28 24
Nov 30 28
Dec 32 32
At the end of December they will have read the same amount of books.
Answer:
Step-by-step explanation:
By applying tangent rule in the given right triangle AOB,
tan(30°) = 


By applying tangent rule in the given right triangle BOC,
tan(60°) = 
OC = BO(√3)
OA + OC = AC

2√3(BO) = 60
BO = 10√3
OC = BO(√3)
OC = (10√3)(√3)
OC = 30
By applying tangent rule in right triangle DOC,
tan(60°) = 
OD = OC(√3)
OD = 30√3
Since, BD = BO + OD
BD = 10√3 + 30√3
BD = 40√3
≈ 69.3