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pickupchik [31]
3 years ago
14

Please me with this!

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
7 0
sin^{-1}(x) + cos^{-1}(-\frac{1}{2}) = \pi
sin[(sin^{-1}(x) + cos^{-1}(-\frac{1}{2})] = 0
sin(sin^{-1}(x)) \cdot cos(cos^{-1}(-\frac{1}{2})) + cos(sin^{-1}(x)) \cdot sin(cos^{-1}(-\frac{1}{2})) = 0

-\frac{x}{2} + \sqrt{1 - x^{2}} \cdot \sqrt{1 - (-\frac{1}{2})^{2}} = 0
\sqrt{1 - x^{2}} \cdot \sqrt{1 - (\frac{1}{4})} = \frac{x}{2}
\sqrt{1 - x^{2}} \cdot \sqrt{\frac{3}{4}} = \frac{x}{2}

\frac{\sqrt{3(1 - x^{2})}}{2} = \frac{x}{2}
\sqrt{3(1 - x^{2})} = x
3(1 - x^{2}) = x^{2}
3 - 3x^{2} = x^{2}
4x^{2} = 3

x^{2} = \frac{3}{4}
x = \pm \frac{\sqrt{3}}{2}

Substitute both x-values in, and only x = \frac{\sqrt{3}}{2} works.

Thus, x = \frac{\sqrt{3}}{2} is your solution.
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Determine the number of solutions that exist to the equation. 8(j-4)=2(4j-16)
lukranit [14]
<span>8(j-4)=2(4j-16)
8j - 32 = 8j - 32

Since both sides are equal, there are is an infinite number of solutions. 


</span>
8 0
3 years ago
In the figure, the angles are formed by a transversal and two parallel lines. Which angles are congruent?
RUDIKE [14]

Answer:

A is your correct answer.

1, 3, 5, and 7 are equal to each other and 2, 4, 6, and 8 are equal to each other.

Step-by-step explanation:

Congruent angles are angles that have the same measure. In this example, where two parallel lines are cut by a transversal line, the angles in the same position on the top line and bottom line are congruent. For example, angle 1 and 5 are in the same position, so they have the same measure.

Also, vertical angles (opposite angles, like 5 & 7 in your example) have the same measure.

Please let me know if you have questions about this.

3 0
3 years ago
What is 0.31 rounded to the nearest tenth
Tomtit [17]

0.31 rounded to the nearest tenth would be 0.3

This Chart should help you in the future:

8 0
3 years ago
The most common form of color blindness is an inability to distinguish red from green. However, this particular form of color bl
MaRussiya [10]

Answer:

(a) P(CBM) = 0.07

(b) P(not CBW) = 0.996

(c ) P(neither is color-blind) = 0.926

(d) P=(at least one is color-blind) = 0.074

Step-by-step explanation:

The correct data is  that Approximately 7% of American men and 0.4% of American women are red-green color-blind.

(a) Probability that he is red-green color-blind:

P(CBM) = 0.07

(b) Probability that she is NOT red-green color-blind:

P(not\ CBW) =1- P(CBW)\\P(not\ CBW) = 1 -0.004\\P(not\ CBW) =0.996

(c) Probability that neither are red-green color-blind

P(neither) = P(not\ CBW)*P(not\ CBM) \\P(neither) = 0.996 *(1-0.07)\\P(neither)=0.926

(d) Probability that at least one of them is red-green color-blind

P(at\ least\ one) = 1- P(neither) \\P(at\ least\ one) = 1-0.926\\P(at\ least\ one) = 0.074

7 0
4 years ago
3 4/9 as a improper fraction
Annette [7]
First, you do the denominator times he whole number

9 x 3 = 27

Second, you add the total you got to the numerator 

27 + 4 = 31

Third, Solve!

31/9 will be your answer 


7 0
4 years ago
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