A. The distance between the red ant and the black ant is five units.
To represent the red ant,
xr = 3 - t
yr = 2 + 2 t
zr = 6 + 2 t
To represent the black ant,
xb = t/2
yb = 2 + 3 t
zb = 2 + t
To calculate,
at t = 0
xb - xr = -3
yb - yr - 2-2 = 0
zb - zr = 2-6 = -4
Therefore,
d = √(9+16) = √(25) = 5
b. There will be no collision between the two ants.
To calculate,
3 - t = t/2
6 - 2t = t
6 = 3t
t = 2
If t = 2,
2 + 2*2 = 2 + 3*2
Hello!
to solve this problem, use the following equation
<span><span><span>(<span>4/3(3.141593)</span>)</span>(9^</span>3) </span>= <span>3053.628059</span><span>
so your final answer is:
the volume of the volleyball is </span>3053.628059<span>
I hope this helps, and have a nice day.</span>
Answer:
17/20, 0.8, 75%
Step-by-step explanation:
17/20=85%, 0.8=80%
85% > 80% > 75%
Answer:
To rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20
Step-by-step explanation:
Since both shops charge the same amount for each kind of vehicle, we will assign variables to the their cost. The cost of a jet ski will be "x" and the cost of the kayak will be "y". Therefore we can create a system of equations as shown below:
Will's shop:
12*x + 9*y = 780
Fun Rentals:
7*x + 11*y = 570
We can isolate "x" on the second equation, we have:
Applying this value on the first equation:
![12[\frac{570 - 11y}{7}] + 9y = 780\\\frac{6840 - 132y}{7} + 9y = 780\\\frac{6840 - 132y + 63y}{7} = 780\\ 6840 - 132y + 63y = 5460\\6840 - 69y = 5460\\69y = 1380\\y = 20](https://tex.z-dn.net/?f=12%5B%5Cfrac%7B570%20-%2011y%7D%7B7%7D%5D%20%2B%209y%20%3D%20780%5C%5C%5Cfrac%7B6840%20-%20132y%7D%7B7%7D%20%2B%209y%20%3D%20780%5C%5C%5Cfrac%7B6840%20-%20132y%20%2B%2063y%7D%7B7%7D%20%3D%20780%5C%5C%206840%20-%20132y%20%2B%2063y%20%3D%205460%5C%5C6840%20-%2069y%20%3D%205460%5C%5C69y%20%3D%201380%5C%5Cy%20%3D%2020)
Applying the value of "y" we found on the "x" equation above, we have:
Therefore to rent a jet ski you need to pay $50 and to rent a kayak you need to pay $20
Hi there! :)
<u>Answer:</u>
The car needs <u>6 gallons</u> of gas to travel 192 miles.
Step-by-step explanation:
In order to answer your question, you'll need to use the cross product method:
32 miles → 1 gallon
192 miles → X gallons
<u>(1 × 192)</u> ÷ 32 = X gallons
<u>192 ÷ 32</u> = X gallons
<u>6</u> = X gallons
There you go! I really hope this helped, if there's anything just let me know! :)
