Answer:
6/10
Step-by-step explanation:
Answer:
2.29 rads
Step-by-step explanation:
The length of the arc of a circle of radius r is given by;
l = rθ ---------------------------(i)
Where;
l = length of the arc
θ = central angle o that intercepts that arc and measured in radians.
From the question:
l = 16ft
r = 7ft
Substitute these values into equation (i) as follows;
16 = 7θ
Make θ subject of the formula
θ = 
θ = 2.29
Therefore, the radian measure of the central angle is 2.29 rads
You need to make a draw of the problem to understand what to do.
The height of the pyramid, and half the original base side length make a rectangle triangle, whose hypothenuse is the height of the lateral area of one of the pyramids faces, so we have. So we use Pythagoras:
hyp^2 = 11^2 + 14^2 = 317
hyp = 17.8 m
that is the height of the lateral area triangle
Now to find the area of the lateral area triangle, we have:
a = base*height/2 = 22*17.8/2
a = 195.8 m^2
that is the lateral area of the pyramid, 196 m^2
Answer:
180 cubic centimeters
Step-by-step explanation:
Volume of prism = base x height
Base of prism = 9*4 = 36
V = bh
V = 36*5 = <u>180 cubic centimeters</u>
Answer:
32
Step-by-step explanation:
The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 160 are: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Then the greatest common factor is 32.
Hope this helps!
