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3 years ago

What is the measure of angle c?

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

5 0

Answer:

50 degrees

Step-by-step explanation:

Okay! So first off, because this is NOT a right triangle, we can't use soh cah toa. That means we can either use the law of sines or the law of cosines.

Because we only have sides here and no angles, we are forced to use the law of cosines.

c^2 = a^2 + b^2 − 2ab cos(C)

c = 6

b = 7.5

a = 6.5

36 = 6.5^2 + 7.5^2 - 2(6.5)(7.5)cos(C)

36 = 98.5 - 97.5cos(C)

-62.5 = -97.5cos(C)

0.641 = cos(C)

angle C = cos^-1(0.641)

angle C = 50.13 which is around 50 degrees

Remember! A dumb thing i always used to do in geometry was use radians instead of degrees, be sure to use degrees here because you are looking for degrees. Radians are for things involving not degrees, but PI.

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Good art is art that allows you to enter it from a variety of angles and to

Montano1993 [528]

Answer:

Step-by-step explanation:

My insight on this quote is that a good piece of art can tell various stories. Maybe there are various characters in the art and each on shows different actions and emotions. Or maybe the art is abstract and the emotions that it triggers in a person can tell a story all on its own. In a way these various angles are the different ways that the art makes us feels that allows us to view it in such a way. Yet these views can change if we look at the art in a different perspective.

6 0

3 years ago

Which point does not lie on the circle centered at (3,2) with radius 5

patriot [66]

The point which does not lie on the circle centered at (3,2) with radius 5 is given below.

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (3, 2) and r = 5,

hence

(x - 3)² + (y - 2)² = 25 ← equation of circle

If an ordered pair lies on the circle then it satisfies the equation, if not then it does not lie on the circle.Substitute the coordinates of the points into the left side of the equation of the circle and check validity.

(0 , 6) : (0 - 3)² + (6 - 2)² = 9 + 16 = 25 ← lies on circle

(3, - 3) : (3 - 3)² + (- 3 - 2)² = 0 + 25 = 25 ← lies on circle

(- 2, 2) : (- 2 - 3)² + (2 - 2)² = 25 + 0 = 25 ← lies on circle

(3, 0) : (3 - 3)² + (0 - 2)² = 0 + 4 = 4 ≠ 25 ← not on circle

6 0

4 years ago

A system of linear equations graphs as parallel lines. The system has how many solutions?

nika2105 [10]

Answer:

None

Step-by-step explanation:

Parallel lines never intercept, giving no solution points

5 0

4 years ago

Read 2 more answers

A machine produces a part for the automotive industry. 4% of the parts produced were defective in the past, and we believe that

Mamont248 [21]

Answer:

$n=\frac{0.04(1-0.04)}{(\frac{0.03}{1.64})^2}=114.76$

And rounded up we have that n=115

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

Solution to the problem

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

The proportion of defectives is estimated as: $\hat p=0.04$ . And on this case we have that the margin of error is $ME =\pm 0.03$ and we are interested in order to find the value of n, if we solve n from equation (a) we got: