Answer:
Scale factor: 4:1
Ratio of perimeter: 4:1
Step-by-step explanation:
So basically, there is difference between the ratio of areas and the scale factor.
The area of a shape is equal to the scale factor squared.
We know that the ratio of the 2 areas is 16:1
So, the scale factor must be: ![\sqrt[2]{16}: \sqrt[2]{1}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B16%7D%3A%20%5Csqrt%5B2%5D%7B1%7D)
,
Which is basically 4:1
Because the ratio of the scale factor is also equal to the ratio of the perimeter, the ratio of perimeters is also 4:1
Answer:
We have a strong negative relationship between the variables.
Step-by-step explanation:
Given two random variables X and Y, it is possible to calculate the covariance as Cov(X, Y) = E(XY)-E(X)E(Y). We have E(X)=5, E(Y)=6 and E(XY)=21. Therefore Cov(X,Y)=21-(5)(6)=21-30=-9. On the other hand, we know that the correlation of X and Y is the number defined by 
and because in this particular case we have V(X)=9 and V(Y)=10, we have 
= -0.9487. Therefore, we have a strong negative relationship between the variables.
Answer: Rotate 280 degrees
Step-by-step explanation:
Each 90 degree rotation makes the figure go into the next quadrant of the graph. So, going clockwise, you have to move the figure three quadrants to get Figure P to the position of Figure Q. Thus, 3 x 90 = 280 degrees. There is only one transformation required.
(i) XYZ = 180 - 64
= 116 degrees
Opposite angles in a cyclic quadrilateral add up to 180 degrees
(ii) YXZ = 23 degrees
Alternate angles in a segment are the same
(iii) OXZ = 26
XOZ = 64 x 2
= 128 degrees
The the angle at the centre is double the angle at the circumference.
180 - 128 = 52
OXZ = 52/2
= 26
Triangle OZX is an isosceles triangle
(Don't forget to include the reasons above full marks)
Answer:
The loan will cost you 2000 dollars more.
Step-by-step explanation:
If you pay 200 per month for 60 months, then you are paying 200(60) after the 60 months.
200(60)=12000.
So the loan will cost you 12000.
The difference between paying 12000 and 10000 is 2000.
The loan will cost you 2000 dollars more.
