Answer: Nova Scotia
Step-by-step explanation:
British Columbia people per police officer:
= Population number / no. Of policemen
= 3,282,000/6,149
= 534 people per policeman
Nova Scotia
= 900,000 / 1,542
= 584 people per policeman
B 4:36
C 1:3
D 1:27
Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. The correct option is D.
Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. They have scaled versions of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.
So, if a side of a figure is of length L units, and that of its similarfigure is of M units, then:
where 'k' will be called a scale factor.
The linear things grow linearly like length, height etc.
The quantities which are squares or multiple linear things twice grow by the square of the scale factor. Thus, we need to multiply or divide by k²
to get each other corresponding quantities from their similar figures' quantities.
So the area of the first figure = k² × the area of the second figure
Similarly, increasing product-derived quantities will need increased power of 'k' to get the corresponding quantity. Thus, for volume, it is k cubed. or
The volume of the first figure = k³ × volume of the second figure.
It is because we will need to multiply 3 linearquantities to get volume, which results in k getting multiplied 3 times, thus, cubed.
Given that the diameter of sphere A is 2 units, it is dilated by a scale factor of 3 to create sphere B. Therefore, the diameter of sphere B is,
Diameter of sphere B = 3 × Diameter of sphere A
= 3 × 2 units
= 6 units
Now, the ratio of diameters of the sphere and the volume of the sphere can be written as,
Hence, the correct option is D.
Learn more about Scale Factors:
#SPJ2
Answer:
1:27
Step-by-step explanation:
I will use solve in terms of pi
Know that Original volume * scale factor cubed = new volume.
The scale factor is 3 and 3^3 is 27,
Therefore the ratio is 1:27
B. y=-3
C. x=7
D. y=7
Answer:
B- y=-3
Step-by-step explanation:
Answer:
(-1,0) and (0, 4)
Step-by-step explanation:
The x and y intercept of a function (say the x intercept), is when y = 0 and vice versa.
The x intercept in this function is when y = 0
Thus,
4x-0=-4
4x = -4
x = -1.
So the x- intercept point = (-1, 0)
Similarly,
4(0)-y= -4
(x is equated to 0 to find the y - intercept)
-y = -4
∴ y = 4
y- intercept point = (0, 4)
Hope this helps! :)