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3 years ago

HOW DO YOU FIND THE SINE, COSINE, AND TANGENT VALUES GIVEN A POINT ON A CIRCLE

1 answer:

7 0

When the circle is centered at the origin and the angle of interest (α) is measured counterclockwise from the positive x-axis, the trig functions can be determined from the coordinates of the point (x, y) and the radius of the circle (r) (which can also be determined from the coordinates of the point).

The radius is
r = √(x² +y²)

The trig functions are (remember SOH CAH TOA?)
sin(α) = y/r
cos(α) = x/r
tan(α) = y/x

These ratios hold regardless of quadrant.

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Number 5 pleaseeeeee

Korvikt [17]

The answer is C. y= 3/2 x. You can check by multiplying 3/2 by 3, if you get 7, it is correct

6 0

3 years ago

£620 is divided between Malachy, Paul & Brian so that Malachy gets twice as much as Paul, and Paul gets three times as much

geniusboy [140]

Answer: Paul gets £186

Step-by-step explanation:

Paul has 1/2 as much as Malachy, and Brian has 1/3 as much Paul, therefore Brian has 1/6 as much as Malachy.

1/2 * 1/3 = 1/6

So Malachy’s amount equals 1 in this equation, Paul’s amount equals 1/2 in this equation, and Brian’s amount equals 1/6 in this equation.

1 + 1/2 + 1/6 = 1 + 3/6 + 1/6 = 1 4/6

Now, divide 620 by 1 4/6 to find Malachy’s amount.

620/1 4/6 = 372

Now, divde 372 by 2 to get Paul’s amount.

372/2 = 186

3 0

3 years ago

A manufacturer of televisions subjects the equipment to a comprehensive testing process for all essential functions before the t

Scorpion4ik [409]

Answer:

The probability is $P(X \le 9) =0.9138$

Step-by-step explanation:

From the question we are told that

The probability of the television passing the test is p = 0.95

The sample size is n = 10

Generally the comprehensive testing process for all essential functions follows a binomial distribution

i.e

$X \~ \ \ \ B(n , p)$

and the probability distribution function for binomial distribution is

$P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}$

Here C stands for combination hence we are going to be making use of the combination function in our calculators

Generally the probability that at least 9 pass the test is mathematically represented as

$P(X \le 9) = P(X = 9) + P(X = 10 )$

=> $P(X \le 9) = [^{10}C_9 * (0.95)^9 * (1- 0.95)^{10-9}]+ [^{10}C_{10} * {0.95}^{10} * (1- 0.95)^{10-10}]$

=> $P(X \le 9) = [10 * 0.6302 * 0.05 ]+ [1 *0.5987 * 1 ]$

=> $P(X \le 9) =0.9138$

8 0

3 years ago

URGENT!!

Lapatulllka [165]

Answer:

f[g(4)] = 4

Step-by-step explanation:

Given table:

$\begin{array}{| c | c | c | c | c | c |}\cline{1-6} x & -6 & -4 & 1 & 3 & 4\\\cline{1-6} f(x) & 4 & -1 & -6 & 1 & 3 \\\cline{1-6} g(x) & 1 & 4 & 3 & -4 & -6 \\\cline{1-6}\end{array}$