Answer:
200km
Step-by-step explanation:
<u>Given </u>
1cm = 25 km 8cm =?
<u>Solve</u>
if 1cm = 25,
then multiply 8 cm by 25.
Which is 200 km
Answer:
50 persons
Step-by-step explanation:
Given:
Aaron’s dad rents out the local skating rink for a party for = $150
Food will cost per person = $3
Question asked :
how many people can Aaron invite = ?
Solution:
Total budget = $300
Rent of skating rink = $150
Remaining money for food = 300 - 150
= $ 150
Each person's food cost = $3
Number of people can Aeron invite = Remaining money divided by each person's food cost
Number of people can Aeron invite =
= 50 persons
(i) Velocity is the rate of change of position, so if
<em>r</em><em>(t)</em> = <em>b</em> cos(<em>ω t </em>) <em>i</em> + <em>b</em> sin(<em>ω t </em>) <em>j</em> + <em>v</em> <em>t</em> <em>k</em>
then
<em>v</em><em>(t)</em> = d<em>r</em>/d<em>t</em>
<em>v</em><em>(t)</em> = -<em>b</em> <em>ω </em>sin(<em>ω t</em> ) <em>i</em> + <em>b</em> <em>ω</em> cos(<em>ω</em> <em>t</em> ) <em>j</em> + <em>v</em> <em>k</em>
The speed of the particle is the magnitude of the velocity, given by
|| <em>v</em><em>(t)</em> || = √[(-<em>b</em> <em>ω </em>sin(<em>ω t</em> ))² + (<em>b</em> <em>ω</em> cos(<em>ω</em> <em>t</em> ))² + <em>v</em> ²]
… = √[<em>b </em>²<em>ω </em>² + <em>v</em> ²]
(ii) The path is a helix. Suppose you zero out the <em>k</em> component. Then the path is a circle of radius <em>b</em>, and the value of <em>ω</em> determines how quickly a particle on the path traverses the circle. Now if you reintroduce the <em>k</em> component, the value of <em>v</em> will determine how far from the plane <em>z</em> = 0 the particle moves in a helical path as <em>t</em> varies.
(iii) Acceleration is the rate of change of velocity, so
<em>a</em><em>(t)</em> = d<em>v</em>/d<em>t</em>
<em>a</em><em>(t)</em> = -<em>b</em> <em>ω </em>²<em> </em>cos(<em>ω t</em> ) <em>i</em> - <em>b</em> <em>ω</em> ² sin(<em>ω</em> <em>t</em> ) <em>j</em>
The number that will be immediately filled before 32754 is 32658
Option E is correct.
Answer:
678.58 inches cubed.
Step-by-step explanation:
V = pi x radius squared x height
V = pi x 6 squared x 6
V = 678.58401 or 678.58
hope this helps xx