Answer:
1. 18.85in
4. 25.13m
Step-by-step explanation:
I got you
So to find the circumference of any circle we use the equation 2pi(r)
2(3.1415)(3)= 18.85in for the first one because radius is half of the diameter which is 6 so half of 6 is 3
For 4. 4m is actually the radius so just plug that into the equation 2pi(4)=25.13m
D. X=3cm
Since the triangles are similar, just set up a proportion to solve for x.
4/8=x/6. Then just cross multiply and solve from there.
1) The height of the cylinder is equal to the diameter of the sphere.
3) The radius of the sphere is half the height of the cylinder.
5) The volume of the sphere is two-thirds the volume of the cylinder.
Hope this helped! :)
Answer:
The z-score of a teenage with waist size 33 inch is 2
Step-by-step explanation:
Mathematically, the z-score can be calculated using the formula;
z-score = (x- mean)/SD
where mean = 29 inches , SD = 2 inches and x = 33 inch
Plugging these values, we have
z-score = (33-29)/2 = 4/2 = 2
A = 8i + 6j
b = 4i + 5j
ab = (8i + 6j)(4i + 5j)
ab = 8i(4i + 5j) + 6j(4i + 5j)
ab = 8i(4i) + 8i(5j) + 6j(4i) + 6j(5j)
ab = 32i² + 40ij + 24ij + 30j²
ab = 32i² + 64ij + 30j²
ab = <32, 30>
The answer is D.
