Answer:
Circle A will be similar to circle B when circle A is dilated by a scale factor of 4.
Lan is 146 centimeters tall now.
<u><em>Explanation</em></u>
Let, Lan's current height is
centimeters
As Lisa is 6 centimeters taller than Lan and Lan is 10 centimeters taller than Jim, so Lisa's current height =
centimeters and Jim's current height =
centimeters.
Every month, their heights increase by 2 centimeters.
So, after 5 months.....
Lan's height =
centimeters,
Lisa's height =
centimeters and
Jim's height =
centimeters
Given that, the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height in 5 months. So the equation will be....
![(h+10)+h= (h+16)+140\\ \\ 2h+10=h+156\\ \\ 2h-h=156-10\\ \\ h=146](https://tex.z-dn.net/?f=%28h%2B10%29%2Bh%3D%20%28h%2B16%29%2B140%5C%5C%20%5C%5C%202h%2B10%3Dh%2B156%5C%5C%20%5C%5C%202h-h%3D156-10%5C%5C%20%5C%5C%20h%3D146)
So, the current height of Lan is 146 centimeters.
First problem:
The answer is C because theoretically it should have a 50% of landing
heads but instead it lands heads 56% of the time. Thus this is 6% higher
than 50%. It's not D because there is not specified detail of how the
person got this data so you can assume that the person did a fair
survey/data collection.
Second problem:
So in a data size of 490, 140 of them we trout. This means that 140/490 or 28.57% of the fish are trout. This means that in a sample size of 5000 fish, 5000*0.2857 or 1428.57 are trout.
Third problem:
The Science students seem to have a higher average score because the average score of Math students are:
(32+33+34+34+35+37+39+40+40)/9=36
average score of Science students are:
(41+42+43+43+46+46+47+49+49)/9=45.111
The area of the missing slice is 15 inches ²
<h3>How to determine the area</h3>
From the information given, we can see that the pizza takes the form of a circle;
Area of the missing slice takes the shape of a triangle
Area of a triangle = 1/ 2 base × height
base = 10 inches
height = 3 inches
Area of missing slice = 1/ 2 × 10 × 3
Area = 1/ 2 × 30
Area = 15 inches ²
Thus, the area of the missing slice is 15 inches ²
Learn more about triangles here:
brainly.com/question/1475130
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