<span>The number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.
</span><span>
<span><span>
Spinner 1
Spinner 2
</span>
<span>
1 1
</span>
<span>
1 2
</span>
<span>
1 3
</span>
<span>
1 4
</span>
<span>
2 1
</span>
<span>
2 2
</span>
<span>
2 3
</span>
<span>
2 4 = NOT 1, AND 4
</span>
<span>
3 1
</span>
<span>
3 2
</span>
<span>
3 3
</span>
<span>
3 4 = NOT 1, AND 4
Only 2 outcomes have passed the given condition.</span></span></span>
Answer:
The answer is 135 degrees.
Step-by-step explanation:
As we are given the position. If we take the <u>derivative</u>, we get the velocity vector. If we take the <u>derivative</u> again, we find the acceleration vector of the particle.



At time t=0;


As i attach in the picture the angle between the velocity and acceleration vector is
degrees
Answer:
The distance of flag post from Y is 38.13 m
Step-by-step explanation:
Consider point Y at the intersection of both lines as shown below. Now the point X lies 34 meter from point Y in east direction.
Now flag pole at point X lies at a bearing of N18°W. That is at point X from north, flag post makes an angle of 18° towards west.
Similarly flag pole at point Y lies at a bearing of N40°E. That is at point Y from north, flag post makes an angle of 40° towards east.
Consider ∆ AXY as right angle triangle. Therefore measure of angle FXY is,



Consider ∆ BYX as right angle triangle. Therefore measure of angle FYX is,



Refer attachment 1.
From diagram consider the triangle FYX. To find the third angle that is ∠YFX can be calculated by using angle sum property of triangle.
∠YFX+∠FYX+∠FXY=180°
∠YFX+50°+72°=180°
∠YFX=58°
Refer attachment 2.
Now the distance FY can be calculated using sin rule as follows,

Substituting the values,

Simplifying first two terms,
Cross multiplying,


m
The value of scale k is 3
Step-by-step explanation:
In order to find the scale , we can either divide the coordinates of H' by the original point or compare both the points to find the original ordered pair.
Given
H(3,4)
H'(9,12)
The coordinates of H are multiplied with some integer k to form H'
So,
<u>For x-coordinate:</u>
3k = 9
k = 9/3 = 3
<u>For y-coordinate:</u>
4k = 12
k = 12/4 = 3
Hence,
The value of scale k is 3
Keywords: Coordinate geometry, scaling
Learn more about scaling at:
#LearnwithBrainly
Answer:
He runs 2/3 mile in 8 mins, he runs one mile in 12 mins