What is the sipliset form of 28:36

1 answer:

5 0

The simplest form of 28:36 is calculated by dividing both numbers by 4 giving 7:9. The given number is an example of a ratio where it is a relation between two entities depicting how much one is a number of times the value of the other. Other terms are proportion, relationship or correlation.

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Suppose that theta is an angle in standard position whose terminal side Intersects the unit circle at (-11/61, -60/61)

Blizzard [7]

Answer:

The exact values of the tangent, secant and cosine of angle theta are, respectively:

$\cos \theta = -\frac{11}{61}$

$\tan \theta = \frac{-\frac{60}{61} }{-\frac{11}{61} } = \frac{60}{11}$

$\sec \theta = \frac{1}{-\frac{11}{61} } = -\frac{61}{11}$

Step-by-step explanation:

The components of the unit vector are $x = -\frac{11}{61}$ and $y = -\frac{60}{61}$ . Since $r = 1$ , then $x = \cos \theta$ and $y = \sin \theta$ . By Trigonometry, tangent and secant can be calculated by the following expressions:

$\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{y}{x}$

$\sec \theta = \frac{1}{\cos \theta} = \frac{1}{x}$

Now, the exact values of the tangent, secant and cosine of angle theta are, respectively:

$\cos \theta = -\frac{11}{61}$

$\tan \theta = \frac{-\frac{60}{61} }{-\frac{11}{61} } = \frac{60}{11}$

$\sec \theta = \frac{1}{-\frac{11}{61} } = -\frac{61}{11}$

3 0

3 years ago

URGENT!! 100 POINTS, BRAINLIEST AS WELL

Olenka [21]

Answer:

Step-by-step explanation:

Notice that there is a little triangle formed by the lines on the right side of the diagram.

Let's find the angle measures of the triangle. One of them has a supplementary angle of 96 degrees, which means that the actual interior angle is 180 - 96 = 84 degrees.

Another angle has a supplementary angle of 137, which means that the actual interior angle of the triangle is 180 - 137 = 43 degrees.

Finally, we have the expression 2x - 23, which is an exterior angle. By definition, this exterior angle is equal to the sum of the interior angles of the triangle that do not include its supplementary angle. In other words:

2x - 23 = 84 + 43

Now we just solve for x:

2x - 23 = 84 + 43 = 127

2x = 127 + 23 = 150

x = 150/2 = 75 degrees

The answer is 75 degrees, or C.

8 0

3 years ago

Read 2 more answers

Identify the property that justifies the following statement: If <1≈ <2, then <2≈<1.

Colt1911 [192]

Symmetric property of congruence.