Answer: r=4 inch
H=8 inch
Step-by-step explanation:
V=402 inch³
H=2r
V=Hr²π
402=2r*r²π
402=2r³π
402/2π=r³
64=r³
r=4
H=2*4=8
13.8 is bigger being a positive number.
Answer:
tan45 = x over 1100
Step-by-step explanation:
Because tan = opposite/ adjacent
x is the opposite of the 45 angle in the figure shown
1100 is the adjacent of the 45 degree angle
thus tan45 = x/1100
You will find the area of the semicircle by finding the area of the circle with a radius of 8.5 mm and the dividing it by 2.
A = pi x r^2
3.14 x 8.5^2
A = 226.865 square mm
226.865/2
113.43
The approximate area of the semi circle is 113.43 mm².
Answer:
50√3 ≈ 86.6 m
Step-by-step explanation:
The geometry can be modeled by a right triangle with the height of the kite being the leg opposite the 60° angle. The hypotenuse has the given length of 100 m.
The mnemonic SOH CAH TOA reminds you that the relation between angles and the sides of interest here is ...
Sin = Opposite/Hypotenuse
sin(60°) = (kite height)/(100 m)
kite height = (100 m)·sin(60°) = (100 m)(√3)/2
kite height = 50√3 m ≈ 86.6 m
