Answer:
Step-by-step explanation:
<u>Sum up the bills:</u>
- 85.40 + 125.00 + 92.60 + 155.50 = 458.5
<u>Find 12% of the sum:</u>
We have been given graph of a sinusoidal function. We are asked to write function formula for our given graph.
We know that and . We can see that our given function is starting at origin, so our graph is sine function.
We know that general form of sine is , where,
A = Amplitude,
Period:
C = Horizontal shift,
D = Vertical shift.
We have been given that function has no horizontal shift, so the value of C is 0.
We can also see that midline of our function is x-axis, so there is no vertical shift as well that is .
We can see that function goes up to 1 from midline and goes down to from midline, so amplitude of function is 1 that is .
We can see that period of our given function is because it completes one cycle from to
We can see that our function is reflected about x-axis, so our function will be .
Therefore, our required function is .
The estimated quotient of the division is 83.
In mathematics, a quotient is a quantity created by the division of two integers (from the Latin quotients, meaning "how many times").
- The term "quotient" is used frequently in mathematics, and it can also refer to a fraction or a ratio as well as the integer portion of a division (in the case of Euclidean division)(in the case of proper division).
- For instance, the quotient in the sense of Euclidean division is "6 with a remainder of 2" when 20 (the dividend) is divided by 3 (the divisor).
- The most common way to represent the quotient is as two integers or two variables split by a horizontal line.
- The terms "dividend" and "divisor" relate to each component separately, whereas "quotient" describes the entire thing.
Now let us divide 4234 by 51.
4234 ÷ 51 = 83.019...
Therefore the quotient is 83
4234 divided by 51 gives quotient 83 and remainder 1 .
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Answer:
x ≈ 11.23
Step-by-step explanation:
Given
tan24° = ( multiply both sides by x )
x × tan24° = 5 ( divide both sides by tan24° )
x = ≈ 11.23 ( to 2 dec. places )
24+x=120/3
24+x=40
X=40-24=16