Ok so this can get tricky, it is basically just asking for you to perform many unit conversions. I'll try to simplify it for you here while still maintaining the explanation. If you have any questions about this process feel free to message me.
3 yards = ____ miles (conversion factor is 1760 because there are 1760 yards in a mile)
3/1760 = 0.017 miles,
Now we just need to convert seconds to hours.
1 second is how many mins, then how many mins in an hour?
360 seconds in an hour.
Ok now we just need to combine these two pieces of info,
0.017/360 = 4.72222 miles per hour. Thus 4.72 is the answer.
Answer:
<h2>7 square units</h2>
Step-by-step explanation:
As you can observe in the image attached, we know the coordinates of each vertex of the triangle.
To find the area using only its vertex coordinates, we need to use the following formula

Where the coordinates are

Replacing coordinates, we have
![A=\frac{1}{2}[1(0 -5)+4(5 -1 )+3(1-0 ) ]\\A=\frac{1}{2} [-5+16+3]=\frac{1}{2}(14)\\ A=7](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B1%280%20-5%29%2B4%285%20-1%20%29%2B3%281-0%20%20%29%20%20%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%20%5B-5%2B16%2B3%5D%3D%5Cfrac%7B1%7D%7B2%7D%2814%29%5C%5C%20A%3D7)
Therefore, the area of the triangle is 7 square units. So, the right answer is the second choice.
Answer:
P(C4) = 0.0711
Step-by-step explanation:
consider the first draw = 15/23 since it cannot be a blue ball
The second draw = 21/29 since 6 more red balls will be added after the draw since a blue ball cannot be drawn
the third draw = 27/35 since 6 more red balls will be added after each draw since a blue ball cannot be drawn
therefore the total number of red balls will be = 15 + 6 + 6 + 6 = 33 red balls after the 4th draw. the total ball now in the urn= 33 red + 4 blue = 41
Hence the probability of drawing a blue ball at the fourth draw after drawing red balls at the previous attempts = 8/41
P(C4) = P ( fourth ball is blue ) * P( first ball red)*P(second ball red) *P(third ball red )
= (8/41) * (15/23) * (21/29)* (27/35) = 0.0711
Answer:
C
Step-by-step explanation:
sine uses opposite over hypotenuse
the opposite of x is 20 and the hypotenuse is 29
so the answer is 20/29
Y = - x + 4 that’s the answer hope it helps