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tiny-mole [99]
2 years ago
12

A college runner set a school record of 3:59.37 in the mile run. assuming that the distance was measured accurately to five sign

ificant figures, what was the runner's average speed in kilometers per hour?
Mathematics
1 answer:
amm18122 years ago
5 0

We are given that the time record in a 1 mile run is 3:59.37 where this is in the format of HH:MM

There are 3 hours 59.37 minutes. Converting every unit to hour:

3 hours + 59.37 min (1 hour / 60 minute) = 3.9895 hour

 

So the average speed is:

average speed = 1 mile * (1.61 km / mile) / 3.9895 hour

<span>average speed = 0.4 km / hour</span>

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Consider 8x2 - 48x = -104. Write the equation so that x2 – 6x + (blank) = –13 + (blank)
Monica [59]

Answer:

That (blank) is 9.

Step-by-step explanation:

Please write 8x^2 - 48x = -104, with " ^ " indicating exponentiation.  Thanks.

This sounds like a perfect example of "completing the square."

First, factor 8x^2 - 48x = -104:  8(x^2 - 6x = -13).

If we focus SOLELY on x^2 - 6x = -13, it's just a little easier to "complete the square."  Take half of the coefficient of x (which here is -6), and square that result (which here is (-3)^2, or 9.  Now add 9 both sides of x^2 - 6x = -13:

x^2 - 6x + 9 = -13 + 9.  Note:  The "blank" in the problem statement is 9.  

We could go ahead and solve this, tho' we weren't asked to do so.  Rewrite x^2 - 6x + 9 as (x - 3)^2:

x^2 - 6x = -13 then becomes (x - 3)^2 = 4.  To solve for x, take the sqrt of both sides of this latest result, obtaining x - 3 = plus or minus 2.  Add 3 to both sides to isolate x:  x = 3 plus or minus 2.

Thus, x = 5 or x = 1.  

5 0
2 years ago
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Calvin wants to buy a car alarm that has a full price of $325, plus a 12% sales tax. Which is the better offer, a 35%-off sale o
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First calculate the total price of the car alarm
P = 325 + 0.12(325)
P = $ 364 is the total prize of the car alarm

then calculate the discounted price
35%-off sale
P = 364( 1 - 0.35)
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P = $ 236.6

$ 100 coupon
P = 364 - 100
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so the answer is A
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The radius of the large fish pond is 4 times the radius of the small fish pond.
Rom4ik [11]
Need the statements to answer don’t you
3 0
2 years ago
A sidewalk bounds a circular playground at GeoCity Park. Parents can exercise by walking around on the sidewalk, while watching
Llana [10]

Answer:

125664.3 m²

I'm required 20 characters minimum

7 0
2 years ago
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Point b has coordinates (3,-4) and lies on the circle whose equation is x^2 + y^2= 25. If angle is drawn in a standard position
lakkis [162]
<span>Point B has coordinates (3,-4) and lies on the circle. Draw the perpendiculars from point B to the x-axis and y-axis. Denote the points of intersection with x-axis A and with y-axis C. Consider the right triangle ABO (O is the origin), by tha conditions data: AB=4 and AO=3, then by Pythagorean theorem:
</span>
<span>BO^2=AO^2+AB^2 \\ BO^2=3^2+4^2  \\ BO^2=9+16  \\ BO^2=25  \\ BO=5.
</span>
{Note, that BO is a radius of circle and it wasn't necessarily to use Pythagorean theorem to find BO}
<span>The sine of the angle BOA is</span>
\sin \angle BOA= \dfrac{AB}{BO} = \dfrac{4}{5} =0.8

Since point B is placed in the IV quadrant, the sine of the angle that is <span> drawn in a standard position with its terminal ray will be </span>
<span /><span>
</span><span>
</span>\sin \theta=-0.8 .





3 0
2 years ago
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