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AlekseyPX
3 years ago
9

25m/s to miles/h Can anyone solve it?With explanation if you can

Mathematics
1 answer:
Dimas [21]3 years ago
6 0

25 meters per second x 60 seconds = 1500 meters per minute

1500 meters per minute x 60 minutes per hour = 90,000 meters per hour

1 mile = 1609.34 meters

90000/1609.34 = 55.92 miles per hour

 round answer to either 55.9 or 56 mph depending on what you need.

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Determine the angles made by the vector v = (67)i + (-15)j with the positive x- and y-axes. write the unit vector n in the direc
vivado [14]
Consider the picture attached.

From right triangle trigonometry: 

tan(α)=(opposite side)/(adjacent side)=15/67=0.2239

using a scientific calculator we find that arctan(0.2239)=12.62°

thus α=12.62°, is the angle that the vector makes with the positive x-axis.

The angle made with the + y-axis is 12.62°+90°=102.62°.



The length of the vector v can be determined using the Pythagorean theorem:

|v|= \sqrt{ 67^{2} + 15^{2} }= \sqrt{4489+225}= \sqrt{4714}=68.8


Thus, to make v a unit vector, without changing its direction, we need to divide v by |v|=68.8. 

This means that the x and y components will also be divided by 68.8, by proportionality.

So, the unit vector in the direction of v is:

<span>(67/68.8)i + (-15/68.8)j=0.97 i + (- 0.22)j
</span>

Answer: 12.62°;  102.62°;  0.97 i + (- 0.22)j

6 0
3 years ago
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What is first three common multiples of 4,9,and 12​
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3 years ago
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-3/7, -8/3 and -5/2,-2 slope
Alja [10]
So the points are (-3/7,-8/3) and (-5/2,-2)
to find the slope do
(y2-y1)/(x2-x1)
(x,y)
x1=-3/7
y1=-8/3
x2=-5/2
y2=-2

subsitute
\frac{-2-( \frac{-8}{3} )}{ \frac{-5}{2} - \frac{-3}{7} }
simplify by finding similar denomenators
\frac{\frac{-6}{3}-( \frac{-8}{3} )}{ \frac{-35}{14} - \frac{-6}{14} }
\frac{\frac{-6}{3}( \frac{8}{3} )}{ \frac{-35}{14} + \frac{6}{14} }
add
\frac{\frac{2}{3}}{ \frac{-29}{14}}
multiply top and bottom by \frac{-14}{29
\frac{\frac{-28}{87}}{1}
\frac{-28}{87}
answer is
slope=\frac{-28}{87}


8 0
3 years ago
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