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3 years ago

Define the six trigonometric functions in terms of x and y

Mathematics

1 answer:

deff fn [24]3 years ago

7 0

Answer: Since y = tan θ = y / x , and y and x are coordinates of a point, y can be any real number and x can be any real number except 0. Thus, the ratio y / x can be any real number, and we conclude that the range of y = tan θ is all real numbers. ... y = csc θ = r/ y , since sin θ and csc θ are reciprocals of one another.

Step-by-step explanation:

Since y = tan θ = y / x , and y and x are coordinates of a point, y can be any real number and x can be any real number except 0. Thus, the ratio y / x can be any real number, and we conclude that the range of y = tan θ is all real numbers. ... y = csc θ = r/ y , since sin θ and csc θ are reciprocals of one another.

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Sean used candle molds, as shown below, to make candles that were perfect cylinders and spheres:

abruzzese [7]

56.52 in^3

V(cylinder) = pi * r^2 * h
V = pi * 3^2 ^ 6
V = pi * 9 * 6
V = 54pi

V(sphere) = (4/3) * pi * r^3
V = (4/3) * pi * 3^3
V = (4/3) * pi * 27
V = 36pi

54pi - 36pi = 18 pi
18 * 3.14 = 56.52

4 0

3 years ago

Richard and teo have a combined age of 42. Richard is 9 years older that twice teos age. How old are Richard and Teo

satela [25.4K]

Step-by-step explanation:

Richard and teo age is 51 years old

6 0

2 years ago

Using the data from the theoretical probability table, what is the probability of the spinner landing only once on yellow in two

Scrat [10]

The probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

<h3>What is probability?</h3>

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As, the probability of an event can not be more than the number 1.

Thus, the probability of failure of a event is equal to the difference of the 1 to the success of the event. As,

The data in the theoretical probability table for the fair spinner having 4 different color is listed below.

Yellow Frequency

0 9

1 6

2 1

For the 4 different color (red, green, blue, yellow) and rotating the spinner two times, there is total 16 outcomes as,

{RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY}

Total number of Y appear probability at one time in the table is 6. Thus the probability of the fair spinner landing only once on yellow in two spins is,

$P=\dfrac{6}{16}\\P=0.375$

Hence, the probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

Learn more about the probability here;

brainly.com/question/24756209

3 0

2 years ago

Hello, I'm Jordan and I have a question in math so Translate the following sentence into an equation, solve the equation. Then s

statuscvo [17]

Answer:

<h3>lets create equation first then to solve it</h3>

Step-by-step explanation:

5+8+a=20

<h3>lets solve it.</h3>

5+8+a=20

13+a=20

a=20-13

a=7.

<h3>maybe it will be correct.</h3>

7 0

2 years ago

Number of subsets of B={p,q,r}

oksian1 [2.3K]

Answer:

Step-by-step explanation:

B = {p , q , r}

Number of subsets = $2^{n}$

Her, n is the number of elements in the set.

Number of subsets = 2³ = 8

3 0

3 years ago