Explanation:
it is not necessary to know for this question, but FYI
1 rad = 180/pi = 57.29577951...°
in essence it describes the arc angle of the arc with the length = radius.
anyway,
we are only dealing with relative sizes here all expressed in radians.
the original spin rate or angular velocity is 5.0 rad/sec.
that means in 1 second it spins by 5 radians (a point on the surface moves by that many degrees).
remember, acceleration is speed/time or distance/time².
then we measure again - after the ball moved by a total angle of 5.5 radians. so, it was longer than 1 second.
so, how much time passed ?
time = distance / speed
5.5 rad / 5.0 rad /1 sec = 1 sec × 5.5 rad / 1×5.0 rad =
= 5.5 sec / 5.0 = 1.1 sec
so, the acceleration was
1.5 - 5.0 = -3.5 rad/(1.1 sec)² = -3.5 rad / 1.21 sec² =
= -2.892561983... rad/sec²
which equation represents a line that passes through (5 1) and has a slope of
The equation of line with point (5,1) and slope ½ is (y-1) = ½ (x-5).
What is the equation of a line?The equation of a line is given as:
[tex]\rm y=mx+c[/tex]
The equation for the point on slope line is given as:
[tex]\rm (y-y_0)=m(x-x_0)[/tex]
Substituting the given values and the slope:
[tex]\rm (y-1)=\dfrac{1}{2}(x-5)[/tex]
Thus, the equation of line with point (5,1) and slope ½ is (y-1) = ½ (x-5).
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the table of values shows the height of a car of a ferris wheel
If a concession owner pays $0.50 per pretzel, and it costs the owner $1.00 to have the pretzel prepared and served, what should the owner charge per pretzel if he wants cost to be 60% of the price?
The owner should charge an amount of $2.50 per pretzel, if the cost price of 60% is desired.
What is cost price?The cost borne by a producer to manufacture or produce such goods and sell them at a higher price is known as the cost price. In this case, the cost price if $1.50 per pretzel.
If such cost price is desired to be 60% of the selling price, then the selling price will be,
[tex]\rm Sell\ Price= \dfrac{Cost\ Price}{Desired\ Percentage}\ x\ 100\\\\\rm Sell\ Price= \dfrac{1.50}{60}\ x\ 100\\\\\rm Sell\ Price= \$2.5[/tex]
Hence, the selling price should be $2.5 if the desired cost price is 60% of the same.
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If audrey's home is worth $160,900, and is assessed at 60 percent of market value, what is her assessed valuation?
In this question, it is given that,
Audrey's home is worth $160,900 and is assessed at 60% of market value .
And we have to find Audrey's home assessed value .
And for that we have to find 60% of $160,900. That is 0.6 * 160900.
Therefore the assessed value of Audrey's home is $96450 . And that's the required answer .