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Kitty [74]
3 years ago
12

Which angle is coterminal to 2pi/3

Mathematics
1 answer:
ioda3 years ago
5 0

the correct answer is -4π/3.

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I need some help on this math problem, thanks so much
bekas [8.4K]

Answer:

The answer is C.

Step-by-step explanation:

Hit 'em with the Law of Sines.

sin(A)/a = sin(B)/b.

Let's say x is equal to "A", thus 5 is "a".

sin(x)/5 = sin(B)/b.

We could go for the obvious choice for "B", which would be the 90 degrees shown. To solve for the hypotenuse which will be "b", let's use the Pythagorean Theorem:

a^2 + b^2 = c^2

5^2 + 20^2 = c^2

25 + 400 = 425

sqrt(425) = about 20.6, which we can now substitute "b" with.

sin(x)/5 = sin(90)/20.6

sin(x)/5 = 1/20.6

sin(x)/5 = 0.04854...

sin(x) = 0.2427...

You can plug in sin^-1(0.2427) into your calculator, and you should end up with something like 14.047... which equates to answer choice C.

6 0
3 years ago
0.3% of a country has a certain disease. The test for the disease has a sensitivity of 92% (i.e., of those we know have the dise
butalik [34]

Answer:

0.95988 (Accuracy of the test )

Step-by-step explanation:

To determine the accuracy of this test we have to list out the given values

Prevalence rate of the disease = 0.3% = 0.003

sensitivity rate of the disease = 92% = 0.92

specificity rate for the test = 96% = 0.96

The accuracy of the test can be found using this equation

Accuracy = sensitivity * prevalence + specificity ( 1 - prevalence )

                = 0.92 * 0.003 + 0.96 ( 1 - 0.003 )

                = 0.00276 + 0.95712

                = 0.95988

6 0
3 years ago
I need the answer quickly please
Hoochie [10]

Answer:

c²=√181=13.45, or 13.5

Step-by-step explanation:

The pythagorean theorem is a²+b²=c²

Given this, we will plug in our numbers like this: 9²+10²=c²

9²+10²=181, but we have to find the square root of that.

c²=√181=13.45, or 13.5

I hope this helps!! :)

7 0
2 years ago
Read 2 more answers
Erica solved the equation -5x - 25 = 78; her work is shown below. Identify the error and were it was made
Nata [24]

Answer:

A

Step-by-step explanation:

It's A because she subtracted a negative and that only make a bigger negative where she should have added

7 0
3 years ago
Statistical data can be classified into
vladimir1956 [14]

IT CAN BE ORDERED IN THE FORM LOWEST TO HIGHEST BY FOUR LEVELS OF STATISTICS :

Nominal, Ordinal, Interval and Ratio

3 0
3 years ago
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