12, Carmen buys 12 roses
I got this by multiplying 4x3=12
The tension in the string balances out, and thus equals the centripetal force of the ball
T = mv^2/r
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if it only takes half the time to finish one orbit it has to be moving at twice the original speed. </span>
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And since v is squared T will increase by 4 </span>
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T' = m(2v)^2/r </span>
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T' = 4mv^/r = 4T </span>
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T' = 24.0 N
I hope my answer has come to your help. Have a nice day ahead and may God bless you always!
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First, you need to determine the resultant force and its angle. This one is real easy, since you only have one (x) and one (y) component. X = 300 and Y = 480
<span>1) sqrt (300^2 + 480^2) = ? (round your answer) </span>
<span>2) tanθ = y/x Solving for θ: θ = tan^-1(y/x): θ = ? (round your answer) </span>
<span>Now, you should have a resultant force value and its angle, from zero, in the first quadrant and between the Y and N axes. Draw yourself a diagram showing all of the axes, the resultant and the angles. You're going to have to do some very easy math to determine the angles between the Y and N axes and the resultant. Call these new angles α and β. α is the angle between N and the resultant and β is the angle between T and the resultant. Hint: one of them is 28 deg. </span>
<span>Once you've gotten those figured, the Y and N axes become your new axis, ignore the X and Y. Find the X and Y components of the resultant (again). ? * cos(α) = 500 and ? * sin(β) = 266 (round your answers)</span>
We are given : Distance of the swing = 100 feet.
Distance of slide = 80 feet.
Angle between swing and slide = 30 degrees.
We need to find the distance between the swing and the slide.
Distance of swing, distance of slide and distance between the swing and the slide form a triangle.
We can apply cosine law to find the distance between the swing and the slide.
c^2 = a^2 +b^2 - 2ab cos C
c^2 = 100^2 +80^2 - 2(100)(80) cos 30°
c^2 = 10000 + 6400 -2* 8000 
c^2 = 16400 - 8000
c^2 = 16400 - 13856
c^2 = 2544
c= 50.44
c = 50 feet approximately.
<h3>Therefore, the approximate distance between the swing and the slide is 50 feet.</h3>
Answer:
It will take 12 weeks to pay for the DVD players.
Step-by-step explanation:
Given in the question that,
total cost of DVD bought by Adela = $210
Step 1
Adela makes a down payment of $30
$210 - $30 = $180
Remaining cost = $180
Step 2
Adela pays $15 each week
$15 = 1 week
$180 = ?
$1 = 1 week/15
$180 = 180/15 week
= 12 weeks
