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Ugo [173]
3 years ago
11

Which degree of rotation is equivalent to a 270 degree clockwise rotation?

Mathematics
1 answer:
Dominik [7]3 years ago
4 0
A 90 degree counter clockwise rotation
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I need help with this practice I am having a tough time solving it properly
Monica [59]

Given:

There are given that the parent functions as a cosine function:

Where,

The amplitude of the function is 9.

The vertical shift is 11 units down.

Explanation:

To find the cosine function, we need to see the standard form of the cosine function:

f(x)=acos(bx+c)+d

Where,

a is the amplitude of the function,

Now,

According to the question:

The amplitude of the function is 9, which means:

f(x)=9cos(bx+c)+d

The vertical shift is 11 units down, which means:

f(x)=9cos(bx+c)-11

For period:

\begin{gathered} f(x)=-9cos(\frac{12\pi}{7}x+0)-11 \\ f(x)=-9cos(\frac{12\pi}{7}x)-11 \end{gathered}

Final answer:

Hence, the cosine function is shown below;

f(x)=-9cos(\frac{12\pi}{7}x)-11

4 0
1 year ago
Which statement describes how the Van Allen belts are formed?
Leya [2.2K]

Answer:

when high-energy particles from the Sun bounce off Earth’s magnetic field

4 0
2 years ago
I need some quizzes on volume for 5th graded math
Katyanochek1 [597]
Volume is length x width x height aka (L•W•H)
6 0
3 years ago
What is the slope of a line that passes through the points (–3, 2) and (–6, 5)?
lilavasa [31]

Answer:

-1

Step-by-step explanation:

just do y2-y1 over x2-x1.

8 0
2 years ago
In 1990, California switched from a 6/49 lottery to a 6/53 lottery. Later, the state switched again to a 6/51 lottery. (a) Find
zalisa [80]

Answer:

(a) 9.9321*10^{-11}

(b) 6.0498*10^{-11}

(c) 7.7120^{-11}

(d) 1.6417 times more probable

Step-by-step explanation:

(a) The probability of winning a 6/49 lottery is given by:

P = \frac{1}{49*48*47*46*45*44} =9.9321*10^{-11}

(b) The probability of winning a 6/53 lottery is given by:

P = \frac{1}{53*52*51*50*49*48} =6.0498*10^{-11}

(c) The probability of winning a 6/51 lottery is given by:

P = \frac{1}{51*50*49*48*47*46} =7.7120^{-11}

(d) The ratio between the probabilities of winning the 6/49 lottery and winning the 6/53 lottery is:

r=\frac{9.9321*10^{-11}}{6.0498^{-11}}\\r=1.6417

It is 1.6417 times more probable.

8 0
4 years ago
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