Answer:
30 degrees.
Step-by-step explanation:
Rotational symmetry is defined as a figure having the same appearance when rotated by a certain angle.
The wheel has 12 "handles." We can use these as reference points when rotating the image.
We also know that we can rotate by a total of 360 degrees. We can say that:
360/12 = 30 degrees.
Each time you rotate the wheel by 30 degrees, the image will end up on another handle (looks the same). This shows rotational symmetry.
I hope this helps!
Complete the table for the function y = 0.1^x
The first step: plug values from the left column into the ‘x’ spot in the formula <u>y=0.1^x</u>.
* 0.1^-2 : We can eliminate the negative exponent value by using the rule a^-1 = 1/a. Keep this rule in mind for future problems. (0.1^-2 = 1/0.1 * 0.1 = 100).
* 0.1^-1 = 1/0.1 = 10
* 0.1^0 = 1 : (Remember this rule: a^0 = 1)
* 0.1^1 = 0.1
Our list of values: 100, 10, 1, 0.1
Now, we can plug these values into your table:
![\left[\begin{array}{ccc}x&y\\2&10\\1&10\\0&1\\1&0.1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%26y%5C%5C2%2610%5C%5C1%2610%5C%5C0%261%5C%5C1%260.1%5Cend%7Barray%7D%5Cright%5D)
The points can now be graphed. I will paste a Desmos screenshot; try to see if you can find some of the indicated (x,y) values: [screenshot is attached]
I hope this helped!
Volume of the sheet cake:
V ( prism ) = 12 * 9 * 2 = 216 in³
Volume of the birthday cake:
V ( cylinder ) = r² * π * h = 4.5² * 3.14 * 4 = 254.34 in³
Then we will use the proportion :
216 : 254.34 = 36000 : x
216 x = 254.34 * 3600
216 x = 915,660
x = 915.660 : 216
x = 4,239.17 ≈ 4,240
Answer:
d. 4,240
The answer is -65.6 because the negative sign is on the out side of the absolute value signs.
The value of f(19) in the given equation is 55.
<h3>What is the function of a linear equation?</h3>
The function of a linear equation illustrates a straight line graph and for a given set of input into the function, there is usually a specific output.
Given that:
We are to find the f(x) = 19.
So;
f(19) = 3(19) - 2
f(19) = 57 - 2
f(19) = 55
Learn more about the function of a linear equation here:
brainly.com/question/14323743
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