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saul85 [17]
2 years ago
13

Which number is equal to 5.03?

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
7 0
I can you be a little bit clear I don’t really understand the question.
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How can I find the x value?<br>How can I explain it?<br><br>PLEASE ANSWER THE QUESTION!!!
Jlenok [28]
Answer:

Step-by-step explanation:
Discussion
What you have presented is called a cyclic quadrilateral. A cyclic quadrilateral is a 4 sided figure whose angles (4 of them) all touch the circumference of a circle.

Here's what you want to know. Two angles that are opposite each other are supplementary (they add to 180 degrees)

Equation
x + 80 = 180 Subtract 80 from both sides.

Solution
x + 80 - 80 = 180 - 80 Combine
x = 100

Answer
x = 100

8 0
1 year ago
Solving a trigonometric equation involving an angle multiplied by a constant
PIT_PIT [208]

In these questions, we need to follow the steps:

1 - solve for the trigonometric function

2 - Use the unit circle or a calculator to find which angles between 0 and 2π gives that results.

3 - Complete these angles with the complete round repetition, by adding

2k\pi,k\in\Z

4 - these solutions are equal to the part inside the trigonometric function, so equalize the part inside with the expression and solve for <em>x</em> to get the solutions.

1 - To solve, we just use algebraic operations:

\begin{gathered} \sqrt[]{3}\tan (3x)+1=0 \\ \sqrt[]{3}\tan (3x)=-1 \\ \tan (3x)=-\frac{1}{\sqrt[]{3}} \\ \tan (3x)=-\frac{\sqrt[]{3}}{3} \end{gathered}

2 - From the unit circle, we can see that we will have one solution from the 2nd quadrant and one from the 4th quadrant:

The value for the angle that give positive

+\frac{\sqrt[]{3}}{3}

is known to be 30°, which is the same as π/6, so by symmetry, we can see that the angles that have a tangent of

-\frac{\sqrt[]{3}}{3}

Are:

\begin{gathered} \theta_1=\pi-\frac{\pi}{6}=\frac{5\pi}{6} \\ \theta_2=2\pi-\frac{\pi}{6}=\frac{11\pi}{6} \end{gathered}

3 - to consider all the solutions, we need to consider the possibility of more turn around the unit circle, so:

\begin{gathered} \theta=\frac{5\pi}{6}+2k\pi,k\in\Z \\ or \\ \theta=\frac{11\pi}{6}+2k\pi,k\in\Z \end{gathered}

Since 5π/6 and 11π/6 are π radians apart, we can put them together into one expression:

\theta=\frac{5\pi}{6}+k\pi,k\in\Z

4 - Now, we need to solve for <em>x</em>, because these solutions are for all the interior of the tangent function, so:

\begin{gathered} 3x=\theta \\ 3x=\frac{5\pi}{6}+k\pi,k\in\Z \\ x=\frac{5\pi}{18}+\frac{k\pi}{3},k\in\Z \end{gathered}

So, the solutions are:

x=\frac{5\pi}{18}+\frac{k\pi}{3},k\in\Z

4 0
1 year ago
1) Find the perimeter of the following<br> polygon<br> 8 ft.<br> 5 ft.
Alex17521 [72]
The answer is 21 :), the side without any number is also 8 because the line in it shows it’s congruent to the line on the opposite side so 8+8+5=21
7 0
3 years ago
Simplify using the distributive property.
Masja [62]
(35-21) = 14 so your answer would be 14

(7/6 x 30= 35 and 7/6 x 18= 22
8 0
2 years ago
____ - 369 = 286?<br> help a sister out
Verizon [17]

Answer:

655

Step-by-step explanation:

655-369=286

I hope this is correct and have a great day

6 0
3 years ago
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