Think of it like a triangle.
The flagpole is vertical and is at 90° to the ground. This makes a right-angle to the ground, which is flat.
Since we have two sides of the triangle already, and they are in a ratio of ?? : 16 : 20 = ?? : 4 : 5, that means that because the triangle is a right-angled triangle, the third and last side must be 3 to complete the ratio! (This is called 'Pythagoras')
Since the other sides were divided by 4 to get the simple ratio, we must multiply 3 to get the actual ratio!
3 × 4 = 12 ft tall flagpole.
Answer:
y-intercept: (0,-4)
x-intercept: (-16,0)
Step-by-step explanation:
To solve for X, Substitute 0 for Y and continue.
To solve for Y, Substitute 0 for X and continue.
Suppose that the numbers that the boy being cast from the dice are 3 4 5 6.
3 stands for white, 4 stands for red, 5 stands for green and 6 stands for blue.
We need to interpret the statement given above. The set of numbers is 3 4 4 6 6 5.
First, we need to get the mean of this set. Add all the numbers and divide by the total number that the set has.
3+4+4+6+6+5= 28 / 6
= 4.67 The mean is 4.67
For the variance, we will use the mean above ( 4.67 )
1. Squared the mean and subtract how many numbers are present in the set.
4.67x4.67= 21.8089 /6 = 3.64 set aside this result
2. Next squared all the numbers present in the set and add the result
3x3= 9 , 4x4= 16, 4x4=16, 6x6=36, 6x6=36, 5x5=25
9+16+16+36+36+25= 138
3. Subtract the result of #2 with #1
138 - 3.64= 134.36 set this aside
4. Subtract 1 from the total numbers you have in your set
6 - 1= 5
5. Divide the result we have in #3 with the result of #4
134.36 / 5= 26. 872
So the variance is 26.872
You have not provided the diagram/coordinates for point Q, therefore, I cannot provide an exact answer.
However, I can help you with the concept.
When rotating a point 90° counter clock-wise, the following happens:
coordinates of the original point: (x,y)
coordinates of the image point: (-y,x)
Examples:
point (2,5) when rotated 90° counter clock-wise, the coordinates of the image would be (-5,2)
point (1,9) when rotated 90° counter clock-wise, the coordinates of the image would be (-9,1)
point (7,4) when rotated 90° counter clock-wise, the coordinates of the image would be (-4,7)
Therefore, for the given point Q, all you have to do to get the coordinates of the image is apply the transformation:
(x,y) .............> are changed into.............> (-y,x)
Hope this helps :)
Slope formula: y2-y1/x2-x1
= 12-5/3-2
= 7/1
= 7
_____
Best Regards,
Wolfyy :)
