You need to calculate the height of the cone which would be OV, not VB
Using Pythagorean theorem:
OV = sqrt(37^2-12^2)
OV = 35
Now you have the height to solve everything.
This is a semi circle so volume and surface area would be 1/2 of a full cone.
A) v = 1/2 x pi x r^2 x h/3
V = 1/2 x pi x 12^2 x 35/3
V = 1/2 x pi x 144 x 35/3
V = 840pi
B) sa =1/2 x pi x r(r + sqrt(h^2+r^2))
Sa = 1/2 x pi x 12(12+ sqrt(35^2+12^2))
Sa= 923.63 round as needed.
C) volume of hemisphere with 4cm diameter:
2/3 x pi x 2^3 = 5.33pi
Divide volume of semi cone by volume of hemisphere:
840pi/5.33pi = 157.5
Answer: -7
Step-by-step explanation:
-3(4x - 2) = 90
Open bracket using -3
-12x + 6 = 90
-12x = 90-6
-12x = 84
x = 84/-12
x = -7
Answer:
D. Two yards of fabric are used to make five place mats.
Step-by-step explanation:
Given
Required
Select the option that describes the scenario
Options A, B and C do not describe the given scenario.
because they all represent
Analyzing D:
We have the following:
Yards = 2
Place Mats = 5
Compare this ratio with the given scenario, we have:
Answer:
Step-by-step explanation:
To find the population density of any state:
We must divide the population number by the area
Thus Washington state's population density equals 7,705,281 / 71297.95
Which equals 108.1
Hope that helps!
Answer: A. 65%
Step-by-step explanation:
First you would divide 13 by 20. That would give you 0.65. Then you would take the decimal and move it over 2 places to the right. Then slap a percent sign on it and you gucci.
