3 years ago

Evaluate the 6 trigonometric functions of theta for 540 degrees

1 answer:

8 0

540 degrees is equivalent to 180 degrees. Cotangent and cosecant are invalid, sine, secant, tangent are all 0 and cosine is -1.

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If A, B, and C are mutually exclusive events with P(A) = 0.2, P(B) = 0.3, and P(C) = 0.4, determine the following probabilities:

fiasKO [112]

a. The events are mutually exclusive, so

$P(A\cup B\cup C)=P(A)+P(B)+P(C)=\boxed{0.9}$

b. For the same reason,

$P(A\cap B\cap C)=\boxed0$

Another way to see this is to use the result from part (a), and the inclusion/exclusion principle:

$P(A\cap B\cap C)=P(A)+P(B)+P(C)-P(A\cup B\cup C)$

and the right side reduces to 0.

c. Same as (b),

$P(A\cap B)=\boxed0$

d. Same as (b),

$P((A\cup B)\cap C)=\boxed0$

We can also use the distributivity rule for unions and intersections to write

$P((A\cup B)\cap C)=P((A\cap C)\cup(B\cap C))=P(A\cap C)+P(B\cap C)=0$

e. If the $A'$ is the complement of $A$ , then by DeMorgan's law,

$P(A'\cap B'\cap C')=P(A\cup B\cup C)'=1-P(A\cup B\cup C)=\boxed{0.1}$

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3 years ago

Which of the following quotients are negative check all that apply

ella [17]

With the true and the right negative

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2 years ago

Solve the problem . (x – 2) = –14(x – 8)<br> 1) x=0<br> 2)x=--5 1/3<br> 3)x=-3 1/5<br> 4)x=3 1/5

Mrrafil [7]

Answer:

x=38/5

Step-by-step explanation:

distribute

Add 2 to both sides of the equation

Simplify

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2 years ago

The table shows a function. Is the function linear or nonlinear?

Umnica [9.8K]

9514 1404 393

Answer:

nonlinear

Step-by-step explanation:

If the function is linear, evenly-spaced x-values will correspond to evenly-spaced y-values.

Here, the x-values all differ by 1. The y-values differ by 2 and 6, so the function is nonlinear.

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2 years ago

A quadrilateral has no pairs of parallel sides. what two shapes could it be

Svetach [21]

A trapezium I believe

4 0

3 years ago

Read 2 more answers