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kogti [31]
2 years ago
14

What is the period of the graph of y = 5cos(6x – 1) + 3? O A.

Mathematics
1 answer:
evablogger [386]2 years ago
5 0

Step-by-step explanation:

The coefficent of the x variable is b.

The formula for the period is

\frac{2\pi}{ |b| }

Here, b is 6 so we have

\frac{2\pi}{ |6| }  =  \frac{\pi}{3}

So the period is pi/3, or 60 degrees

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A circle has a radius of 6 feet. Calculate the area of the<br> sector formed by a central 30° angle
Tems11 [23]

Answer:

The area of the sector is 9.43 ft^2

Step-by-step explanation:

Here, we want to find the area of the sector with a central angle of 30 degrees

To do this, we use the formula below;

Area of sector = theta/360 * pi * r^2

theta = central angle = 30 degrees

r = radius = 6 ft

Thus, we have it that;

Area of sector = 30/360 * pi * 6^2

= 30/10 * pi = 3 * 3.142 = 9.43 ft^2

6 0
3 years ago
Part A: Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work. (5 points)
nasty-shy [4]

The value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have equation:

4(x + 5) = 9x + 4x − 34  (Given)

4x +20 = 9x + 4x − 34    (Distributive Property)

4x +20 +34 -4x = 9x + 4x − 34 + 34 -4x   (Subtraction Property of Equality)

54 = 9x + 4x − 34 + 34 -4x  (Addition Property of Equality)

54 = 9x  (Combine Like Terms)

x = 54/9   (Division Property of Equality)

x = 6

Thus, the value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

3 0
2 years ago
Which one do I put? Pick out of the 3 options.
SpyIntel [72]
The answer is -6 is less than 3
3 0
3 years ago
Leonard earned $100 from a bonus plus $15 per day (d) at his job this week. Which of the following expressions best represents L
djyliett [7]

Answer:

...........

⟼15d + 100

8 0
3 years ago
What is the difference? <br> 4/3-7/9
Alecsey [184]

Answer:

Step-by-step explanation:

4/3-7/9=12/9-7/9=5/9.

6 0
3 years ago
Read 2 more answers
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