Answer:
26.22in²
Step-by-step explanation:
First get the radius using the formula of a circumference.
C = 2πr = 18.2
2(3.14)r = 18.2
6.28r = 18.2
Divide both sides by 6.28 to get r
r = 2.89
Now get the area of a circle using the formula:
A = πr²
A = 3.14(2.89)²
A = 3.14(8.35)
A = 26.22in²
Answer:
the answer is 20 with a remainder of 7
Step-by-step explanation:
hope this helps if not let me know
Answer:
Domain = x ≥ 0
Range = y ≥ 20
Step-by-step explanation:
The equation in slope-intercept form would look like this:
y = 4x + 20
The slope is $4 because that is the money that can be made depending on the week. Because he received a random $20 at the beginning, this is just an additional income.
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In this scenario, the domain (x-values) represent the number of weeks. The range (y-values) represent the total money made.
So the domain is asking, what is the lowest/highest amount of weeks he can save for? We know the number of weeks cannot be negative because he can't save for negative weeks. However, he could save for zero weeks. He can be saving for theoretically infinite weeks. Therefore, the domain is x ≥ 0.
The range is asking, how much money can he save? Since he starts out with a baseline of $20, this is the lowest amount of money he can have. If he were to save for an infinite amount of weeks, he could make an infinite amount of money. Therefore the range is y ≥ 20.
The dimensions would be: Length=36 and Width=32. I solved this by just using multiples of the numbers in the ratio. 9x4=36 and 8x4=32, so the ratio can still simplified to 9:8. P=2xL+2xW, so (2x36)+(2x32)=136.
L=36ft. and W=32ft.
Answer: (B)
Explanation: If you are unsure about where to start, you could always plot some numbers down until you see a general pattern.
But a more intuitive way is to determine what happens during each transformation.
A regular y = |x| will have its vertex at the origin, because nothing is changed for a y = |x| graph. We have a ray that is reflected at the origin about the y-axis.
Now, let's explore the different transformations for an absolute value graph by taking a y = |x + h| graph.
What happens to the graph?
Well, we have shifted the graph -h units, just like a normal trigonometric, linear, or even parabolic graph. That is, we have shifted the graph h units to its negative side (to the left).
What about the y = |x| + h graph?
Well, like a parabola, we shift it h units upwards, and if h is negative, we shift it h units downwards.
So, if you understand what each transformation does, then you would be able to identify the changes in the shape's location.