Answer:
The correct option is;
Step-by-step explanation:
The given parameters are
The equation of motion of one (the first) object is r = 4·cos(θ)
The equation of motion of the other (the second) object is r = -1 + 2·cos(θ)
Equating both equations gives;
4·cos(θ) = -1 + 2·cos(θ)
4·cos(θ) - 2·cos(θ) = -1
2·cos(θ) = -1
cos(θ) = -1/2
θ = Arccos(-1/2) = 120° = 2·π/3
Therefore, the two equations are equal when θ = 2·π/3 for which we have;
r = 4·cos(2π/3) = -2 and r = -1 + 2·cos(2π/3) = -2
∴ r = 4·cos(2π/3) = -1 + 2·cos(2π/3) = -2
The coordinate that represents a possible collision point of the objects in the form (r, θ) is therefore
－81＝3(5－4r)
27＝－(5－4r)
27＝－5＋4r
－4r＝－5－27
－4r＝－32
r＝8
Hope my answer helped u :)
72% as a fraction is 18/25.
Change 72% into a decimal, which is 0.75.
Then change the decimal into a fraction, 72/100.
Last step is to simplify 72/100 in its lowest form which gets us 18/25.
Answer:
a.) .375 inches per day
b.) no
c.) 48 days
Step-by-step explanation:
If 8 days produces 3 inches of ice, I divided the 3 inches by the 8 days to see how much it grew per day. I got<u> .375 inches per day</u>.
Knowing how much it grew each day, I used .375 inches per day and multiplied it by 21 (3 weeks). So <u>no, it only grew 7.875 inches over the 21 days</u>.
You can double check it by dividing 10 inches / .375 inches per day and saw it would take over 26 days to reach 10 inches.
I took 1.5 feet and converted it to 18 inches. 18 inches divided by .375 inches per day equals <u>48 days.</u>
I hope this helps you! :)
$1499 is the answer you multiply 100 by 15 then 100 by 29.99 and get 2999 and 1500. You subtract them together 2999-1500 to get 1499
