Answer:
(x²/4) + (y²/16) ≤ 1
Step-by-step explanation:
The general form of the ellipse in the graph is
x²/4 + y²/16 = 1
we want to find the inequality which represents the shaded area this will determine whether which of the following 2 choices are correct
Choice 1: x²/4 + y²/16 ≥ 1
Choice 2: x²/4 + y²/16 ≤ 1
we note that point (0,0) lies inside the shaded area. Which means if we substitute (0,0), it should create an equality that is valid.
try choice 1: 0²/4 + 0²/16 = 0 ≥ 1 (not valid because obviously zero is smaller than 1)
try choice 1: 0²/4 + 0²/16 = 0 ≤ 1 (this is valid, hence choice 2 is the answer)
Answer: 3 red marbles, 3 blue marbles, 6 yellow marbles, 8 black marbles, 4 silver marbles
Step-by-step explanation:
I know these are the correct number of marbles because I set up these numbers as fractions and solved for x.
For examples, 2/16 of the marbles are red. 2/16=x/24
You would do this because we are trying to find the number of marbles that are red out of the 24 marbles.
Next, we would do 24 divided by 16= 1.5 Then 1.5 times 2=3
You would follow this rule for each fraction of marbles in order to find the true number of marbles out of 24.
11. 8 * 18 =
144 in³, Option D
12. Half the height of 8 cm is 4 cm. Volume = 4 * 6 * 10 =
240 cm³, Option D
13. Double the dimensions you get 8 cm for the height, 6 cm for the radius. Then plug in. V = pi * (6)² * 8 >> pi * 36 * 8 =
288pi or ≈ 904.78, Option C
14. Half of all the dimensions are 1 in, 4 in, and 3 in. 1 * 4 * 3 =
12 in³, Option B
15.

>> 16x = 180 >> x = 11.25
so Option B
16. Option D, 10 cm.
17. Option C, 8.5 in
18. Option B. 10.2 km
19. Option D. 0.82
20. cos 30 = b / 11.5 >> b = 11.5(cos (30)) =
9.96 m, Option C.
Answer:
hi
Step-by-step explanation: