The area ratio is 1:16 meaning that the old area is 1 while the new area is 16. So this is another way of saying "the area is multiplied by 16"
Take the square root of each part of the ratio of 1:16 and we get 1:4
So this is the scale factor. It tells us how the linear components of the circles relate to one another. If the circumference of the smaller circle is 1,then the larger circle has a circumference of 4.
Therefore, the circumference has been multiplied by 4
Indeed you need to speech English
Given 4 boxes of pencils cost $5,
Unknown- slope
$1.25 per box since $5/boxes
Equation y=mx+b
Substitute $1.25/per box for m
Solve y=$1.25x
The Check
$5=$1.25/per box(4 boxes)
$5=$5
Answer:
- The approximate distance between the docks is 357 feet
Step-by-step explanation:
Let the distance between docks be d.
This is the opposite side to 45° angle of triangle with other sides 400 ft and 500 ft.
Use the law of cosines to find the value of d:
(rounded)
A) the z score for 95% is 1.96
Multiply by the deviation:
1.96 x 0.005 = 0.0098
Now add and then subtract that from the mean:
4.035 - 0.0098 = 4.0252
4.035 + 0.0098 = 4.0448
The interval is (4.0252, 4.0448)
B) 4.035 +/- 1.96 x sqrt( 0.005/sqrt(25))
= 4.035 +/-0.00196
Answer: ( 4.033, 4.037)
C) the conclusion is that both 4.020 and 4.055 are out of the range.
4.020 is below the lowest range and 5.055 is higher than highest range.
