Answer:
15
Step-by-step explanation:
Using the formular, Sn = n/2(2a + (n - 1)d)
where, n = 6: Sn = 6/2( -20 + 5(3)) = 3(15 - 20)
∴ Sn = 15
Answer:
A ≈ 183 cm²
Step-by-step explanation:
Step 1: Find the area of the 2 circles
A = πr²
r = 6/2 = 3
A = π(3)²
A = 9π
Since there are <em>2</em> circles, 9π(2) = 18π
Step 2: Find area of <em>entire </em>rectangle
A = lw
A = 12(20)
A = 240
Step 3: Subtract the area of the circles from the area of the entire rectangle
240 - 18π
Shaded area = 183.451 cm²
And we have our answer!
Answer:
it would be 2
Step-by-step explanation:
(1,000,000 centimeters) x (1 skewer/30centimeters) =
1,000,000 /30 skewers = 33,333 whole skewers,
plus one piece of one more skewer
cut into 3 equal pieces with the other
two pieces discarded.
Another way to look at it: <em>33,334 skewers</em>,
with 2/3 of one of them not included.
Consider the system of inequalities
1. Plot all lines that are determined by equalities (see attached diagram)
2. Determine which bounded part of the plane you should select:
means that you should take points with y-coordinates greater than or equal to 2 (top part of the coordinate plane that was formed by the red line);
means that you should take points with x-coordinates less than or equal to 6 (left part of the coordinate plane that was formed by the blue line);- for
you can check where the origin is placed. Since 
, the origin belongs to the needed part and you have to take the right part of the coordinate plane that was formed by green line. - for
you can check where the origin is placed. Since 
, the origin belongs to the needed part and you have to take the bottom part of the coordinate plane that was formed by orange line.
3. According to the previous explanations, the shaded region is as in A diagram.
Answer: correct choice is A.
