Answer:
C
Step-by-step explanation:
Count the number of sections.
... 12!
Now count the number of sections with a label of 5.
... 3!
So the probability of getting a 5 with one spin is 
or 25%.
Now we can calculate the probability of getting a 5 with 150 spins.
The closest answer is 40.
Answer:
14. Answer : 3² . 3³ . 3¹ . 3⁴
We can use the equation 
to find the length of the side of a square.
<u>Solution:</u>
Given that, the perimeter of a square is equal to the perimeter of an equilateral triangle.
The length of a side of the square is given by "x"
And the length of a side of the equilateral triangle is given by "y"
Finding the equation to determine value of "x"
<em><u>The perimeter of a square with side "x" is given as:</u></em>
<em><u>Perimeter of a equilateral triangle with side "y" is given as:</u></em>
Given that perimeter of a square = perimeter of an equilateral triangle
Hence, we can use the equation to find the length of the side of a square.
Answer:
1. D
2. D
3. B
Step-by-step explanation:
1. The y-axis of the graph is the volume of gas in the tank and the x-axis is the distance traveled. So the y-intercept represents how much gas is in the tank before it has been driven anywhere. D
2. Just by inspecting the graph, we can see that the x-intercept is 240. So answers a and c are denitely incorrect. Also, since we know the graph is comparing the distance from the house to time, we can observe that the x-intercept is when the cyclist is at home or 0 miles from their house. So the x-intercept must represent the duration of time it took the cyclist to reach home. D
3. Ok so we know the equation of the line is 3x-8y-12=0, and we're trying to find the x and y intercepts. So we can plug 0 in for x to find the y-intercept. And plug 0 in for y to find the x-intercept.
x-intercept: y=0
3x-8(0)-12=0
3x-12=0
3x=12
x=4
=> (4,0)
y-intercept: x=0
3(0)-8y-12=0
-8y-12=0
-8y=12
y=-3/2
=> (0,-1.5)
So the answer is B
4. We can see that one prize is worth $6, so in theory, if the relation was linear we should be able to say that the cost of the number of prizes you buy is 6 times the number of prizes bought. Since we can see that that is not true, we can determine that the data is non-linear. We can also tell that the data is discrete because you can't buy a partial prize. So the answer is C
I'm sorry I don't have time to finish the rest of the questions!! I hope my other answers are helpful though!
The Pythagoras Theorem is a^2 +b^2 = c^2 if this is true then you have a right triangle. So I think they are looking for side lengths in the first box.
