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kirill [66]
2 years ago
13

The measure of the angles of a pentagon are (x - 5), (x - 6), (2x - 7), x° and (2x - 2). Find the

Mathematics
1 answer:
zzz [600]2 years ago
6 0

Answer:

x=80 degree

Step-by-step explanation:

(x-5)+(x-6)+(2x-7)+x+(2x-2)=540 degree (sum of interior angles of a pentagon)

x-5+x-6+2x-7+x+2x-2=540

7x-20=540

7x=540+20

x=560/7

x=80 degree

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Step-by-step explanation:

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Find values of  that satisfy the equation for 0º    360º and 0  θ  2 . Give answers in degrees and radians.
suter [353]

Answer:

\theta = 30^\circ, 330^\circ

\theta = \frac{\pi}{6}, \frac{11\pi}{6}

Step-by-step explanation:

Given [Missing from the question]

Equation:

cos\theta = \frac{\sqrt 3}{2}

Interval:

0 \le \theta \le 360

0 \le \theta \le 2\pi

Required

Determine the values of \theta

The given expression:

cos\theta = \frac{\sqrt 3}{2}

... shows that the value of \theta is positive

The cosine of an angle has positive values in the first and the fourth quadrants.

So, we have:

cos\theta = \frac{\sqrt 3}{2}

Take arccos of both sides

\theta = cos^{-1}(\frac{\sqrt 3}{2})

\theta = 30 --- In the first quadrant

In the fourth quadrant, the value is:

\theta = 360 -30

\theta = 330

So, the values of \theta in degrees are:

\theta = 30^\circ, 330^\circ

Convert to radians (Multiply both angles by \pi/180)

So, we have:

\theta = \frac{30 * \pi}{180}, \frac{330 * \pi}{180}

\theta = \frac{\pi}{6}, \frac{33 * \pi}{18}

\theta = \frac{\pi}{6}, \frac{11 * \pi}{6}

\theta = \frac{\pi}{6}, \frac{11\pi}{6}

8 0
2 years ago
Suppose you work as a clerk at a local retail store earning $6 per hour. The amount of your weekly paycheck (before taxes are ta
Viktor [21]

Answer:

x is the independent variable and it represents the number of hours worked per week by the clerk.

Step-by-step explanation:

An independent variable refers to a variable in model that is varied or changed in order to examine its effect on another variable. The other variable is called a dependent variable.

A dependent variable is a variable in a model that changes as a result of a change in the independent variable.

From the question, x is the independent variable and its represent the number of hours worked by the clerk.

F(x) represents the amount of your weekly paycheck and it is the dependent variable that changes as the number of hours worked, x, changes.

For example, since we are given:

F(x) = 6x ............................... (1)

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6 = coefficient of x = Earning per hour

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Assuming x = 1, we can substitute this into equation (1) and have:

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But when x = 2, we have:

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8 0
3 years ago
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