Answer:
The volume of a hemisphere of some radius can be easily found out by calculating just half of the volume of a sphere of the same radius. Volume of hemisphere = 2πr3/3, where r is the radius of the hemisphere
Step-by-step explanation:
Answer: A. 184.8ft2
Step-by-step explanation:
The pyramid is made up of four sides that are rectangular, each side has a height of 12.4ft and base length of 6ft.
The base area is a square of 6ft by 6ft.
For the sides, area of a triangle is 1/2 x base x height
= 1/2 x 6 x 12.4 = 37.2m2
For the four triangles = 4 x 37.2 = 148.8m2
For the square base, area is 6 x 6 = 36m2
Total surface area = 148.8 + 36 = 184.8ft2
Answer:
b
Step-by-step explanation:
Answer:
Total tickets = 70
Total cost = $550
Adult's ticket = $9
Child's ticket = $5
Difference = 9 - 5 = $4
Assume all 70 are child's tickets
5 x 70 = 350
But the total cost was 550
550 - 350 = $200
The $200 must have come from Adult's tickets, which has a difference of $4.
200 ÷ 4 = 50
So there are 50 adult's tickets.
70 - 50 = 20
And there are 20 child's tickets.
Hope this helps - Itz.Jordan
When you see questions of this nature, test the individual inequalities and look out for their intersection.
For

Choose a point in the lower or upper half plane created by the line

The above line is the one which goes through the origin.
Now testing (1,0) yields,

That is,

This statement is true. So we shade the lower half of

For

We test for the origin because, it is not passing through the origin.

This yields

This statement is false so we shade the upper half.
The intersection is the region shaded in B. The top right graph