Let's go though the choices.
Major axis will get shorter. TRUE, CHECK ME
As the plane moves closer to the vertex the ellipse stays the same shape but shrinks.
Ellipse will become a circle. FALSE
As long as the plane is tilted, the ellipse can't be a circle.
Ellipse will degenerate to a point. TRUE, CHECK ME
Eventually the plane gets to the vertex, at which point (ha!) we have a single point.
Nappes? Is that a word? FALSE
The plane needs a steeper angle, steeper than the generators, before it can pass through both halves.
The generators are the lines through the vertex that form the cone. The plane isn't steep enough to hold any of them. FALSE
Answer:
Let S = price of sweater
Let P = price of pants
S + P = 89.47 because that was the total spent
S = P - 8.53 because the sweater is 8.53 less than pants
Substitute P-8.53 in place of S in the
1st equation and solve for P
P - 8.53 + P = 89.47
2P - 8.53 = 89.47 add 8.53 to both sides
2P = 89.47 + 8.53
2P = 98.00 divide both sides by 2
P = 98.00/2
P = $49.00
S = P - 8.53
S = 49.00-8.53
S = $40.47
A sweater costs $40.47 and the pants cost $49.00
Answer:
1947.78 inches or 162.31 feet.
Step-by-step explanation:
the circumference of any given circle is its diameter times pi. So, if you multiply the diameter times pi and then the circumference by 10 you get the number of inches traveled, if you divide that by 12 you get the number of feet traveled.
Answer:
#6 is 1001
#8 is x=1312
Step-by-step explanation:
6. 11*13*7= 1001
8. 32*41=x
x= 1312
Answer:
116.31468544 mg ibuprofen left
Step-by-step explanation:
Since there are 800 mg at the beginning and the system decreases by about 32% of the ibuprofen
After 1 hour
→ 800 - (800x32/100) = 800 - 256 = 544 mg ibuprofen left
After 2 hours
→ 544 - (544x32/100) = 544 - 174.08 = 369.92 mg ibuprofen left
After 3 hours
→ 369.92 - (369.92x32/100) = 369.92 - 118.3744 = 251.5456 mg ibuprofen left
After 4 hours
→ 251.5456 - (251.5456x32/100) = 251.5456 - 80.494592 = 171.051008 mg ibuprofen left
After 5 hours
→ 171.051008 - (171.051008x32/100) = 171.051008 - 54.73632256 = 116.31468544 mg ibuprofen left
