Answer:
12
Step-by-step explanation:
Answer:
x = 90°
3x = 270°
Step-by-step explanation:
Split the shape in half through the plane of 3x and x.
We can find the angle of x/2 is 45°.
Since x/2 = 45°, then we can fid that x=90°.
To find 3x, we simply multiply 90° 3 times.
So 3x = 270°.
The answer is b because there is a negative in the exponent and the number needs to be a single digit and 54 is double digit. hope this helps!
Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone = 
r² + r
(where r = radius of the base and = slant height)
Given slant height = 10 and surface area = 188.5
Surface area = r² + r
188.5 = r² + 10r
r² + 10r - 188.5 = 0
r = 
= 4.219621117...
Volume of a cone = (1/3)r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² = ²
h² = ² - r²
h = √(² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)r²√(² - r²)
Given slant height = 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)
14(12)-200(3.2)
168-640= -472
