Answer:
Q1)
The number of fish Sara caught increases by 2 each day.
The number of fish Sara caught increases by 4 each day.
Q2)
Sara caught <u>2 fish each day</u>.
The pattern that describes how many fish Sara caught altogether is:
<u>2 times the number of days</u>
<u />
Q3)
Mel caught <u>4 fish each day</u>.
The pattern that describes how many fish Mel caught altogether is:
<u>4 times the number of days</u>
<u />
Q4)
The number of fish Mel caught altogether is <u>twice</u> the number of fish Sara caught altogether.
Q5)
The number of fish Sara and Mel would have caught by day 10:
- Sara = 10 × 2 = 20 fish
- Mel = 10 × 4 = 40 fish
The image of vertex L after the triangle is rotated 180 degrees about the origin= (-2, -1).
Option B.
First let's stae the the original location of the figure on the graph.
From the graph:
L (2, 1)
W(1, -3)
O (-1, -2)
A rotation of 180 degrees about the origin will change the x and y axis of each location to the opposite of those numbers;
Positive numbers becomes negative and negative numbers becomes positive.
The new location for L = L'
L' = (-2, -1)
The new location for W = W'
W' = (-1, 3)
The new location for O = O'
O' = (1, 2)
Hence, the image of vertex L after the triangle is rotated 180 degrees about the origin= (-2, -1).
Option B.
First you need to find the area of the circle, which is πr^2
With a radius of 8 inches, the area of the circle will be π*8^2 or 64π.
Next you want to find the area of the 120 degree section of that circle.
120 degrees is 1/3 of a circle, so all you have to do next is multiply the are of the circle by 1/3 (because 360/120= 1/3).
(1/3)(64π) --> All you really have to do here is multiply 64 by 1/3 or divide it by 3 (because to divide by a number is the same a multiplying by it's reciprocal) so you get (64/3)(π).
64/3 is 21 and 1/3 or 21.333..., so however you choose to write it, I will leave the answer as (64/3)π squared inches.
5040 different ways that winni could possibly arrange them but it also depends on the space of Winnie’s room and how she wants to arrange them
