Answer:
The length of the circular arc is 8.64 inches
Step-by-step explanation:
Length of circular arc (L) = central angle/360° × 2πr
central angle = pie/4 = 45°, r (radius) = 11 inches
L = 45°/360° × 2 × 3.142 × 11 = 8.64 inches (to two decimal places)
In order for something to be a function, it has to pass the vertical line test, atleast in the standard coordinate plane. This is because a single x value can’t correlate with two separate y values. So the first one is not and the second one is
Answer:
x = 10 , y = 15
Step-by-step explanation:
8x - 10 and 7x are alternate angles and are congruent , then
8x - 10 = 7x ( subtract 7x from both sides )
x - 10 = 0 ( add 10 to both sides )
x = 10
Then
8x - 10 = 8(10) - 10 = 80 - 10 = 70
6y + 20 and 8x - 10 are same- side interior angles and sum to 180°, that is
6y + 20 + 70 = 180
6y + 90 = 180 ( subtract 90 from both sides )
6y = 90 ( divide both sides by 6 )
y = 15
The area is 84.
What I do it cut the polygon into something easier like a square and rectangle.
Rectangle: 6•12=72
Square: 4•3=12
Add them together and you have 84
Answer:
Step-by-step explanation:
the information we have is:
- the radius of the circle in the base:
(u for units)
- and the height of the cone:
to find the volume we need the formula for the volume of a cone:
where r is the radius and h is the height.
Substituting the known values to find the volume:
the volume in terms of 
is 
and if we substitute the value of pi: 
we get:
