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irga5000 [103]
3 years ago
6

Given cosΘ=2/3 and sinΘ>0, find sinΘ

Mathematics
1 answer:
adelina 88 [10]3 years ago
3 0

Answer:

sinΘ = √5/3

Step-by-step explanation:

Mathematically, we know that the cos of an angle is the ratio of the adjacent to the hypotenuse

The sine of an angle is the ratio of the opposite to the hypotenuse

So in this case, from the cosine given; adjacent is 2 and hypotenuse is 3

From the Pythagoras’ theorem, we can get the opposite

Mathematically, the square of the hypotenuse equals the sum of the squares of the two other sides

Let us have the opposite as x

3^2 = 2^2 + x^2

9 = 4 + x^2

x^2 = 9-4

x^2 = 5

x = √5

This root can be positive or negative

But since the sine is positive, we shall be considering only the positive root

Thus;

sine theta = √5/3

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Answer:

Step-by-step explanation:

a. 4x+4y

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7 0
2 years ago
What is the value of E(-1) n (3n+2)?
RoseWind [281]
<h3>Answer:  C) 6</h3>

====================================================

Explanation:

The weird looking E symbol is the greek uppercase letter sigma. It refers to a sum.

It tells us to add up terms in the form (-1)^n*(3n+2) where n is an integer ranging from n = 1 to n = 4.

------------------

If n = 1, then we have

(-1)^n*(3n+2) = (-1)^1*(3*1+2) = -5

Let A = -5 as we'll use it later.

------------------

If n = 2, then

(-1)^n*(3n+2) = (-1)^2*(3*2+2) = 8

Let B = 8 since we'll use this later as well

------------------

If n = 3, then

(-1)^n*(3n+2) = (-1)^3*(3*3+2) = -11

Let C = -11

-------------------

If n = 4, then

(-1)^n*(3n+2) = (-1)^4*(3*4+2) = 14

Let D = 14.

--------------------

We'll add up the values of A,B,C,D to get the final answer

A+B+C+D = -5+8+(-11)+14 = 6

This means that

\displaystyle \sum_{n=1}^{4}(-1)^n(3n+2) = 6

6 0
3 years ago
The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is unknown. However,
kolezko [41]

Answer:

(a) 0.0128 to 4 decimal places

(b) The 90% confidence interval is 119.1 < μ < 121.0 to 1 decimal places

Step-by-step explanation:

See the attached documents and graphs. Cheers!

Download pdf
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
4de97e6d942fe2c9047a396b82fccba0.png
0b940014a3beda8e854506c0084127b3.png
8 0
2 years ago
Is y=3x+4 parallel or perpendicular
Sauron [17]

Answer: y=3x+4 is parallel to y=3x+7

Step-by-step explanation:

<h3> The complete exercise is: "Is y=3x+4 parallel, perpendicular or neither to y=3x+7?"</h3><h3 />

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope of the line and "b" is the y-intercept.

First, in order to solve this exercise it is important to remember that, by definition:

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In this case, you have the following line given in the exercise:

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You can identify that "m" and "b" are:

m=3\\b=4

And the other line provided in the exercise is this one:

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So, you can identify that:

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As you can notice, the slopes of both lines are equal; therefore, you can conclude that those lines are parallel.

6 0
3 years ago
if Roman Reigns was born 759 days after Jey Uso, with no leap year between the two birthdays. If Jey Uso was born on a Wednesday
sweet-ann [11.9K]

If Jey Uso was  born on a Wednesday, the day of the week that  Roman Reigns was born is Thursday.

<h3>What day of the week was  Roman Reigns born?</h3>

There are 365 days in a year when there is no leap year.

Now determine the number of years that make up 759 days: 759 / 365 = 2 years + 29 days

Now determine how many weeks are in 29 days : 29 / 7 = 4 weeks and 1 day

Thus,  Roman Reigns was born on Thursday.

To learn more about division, please check: brainly.com/question/194007

#SPJ1

4 0
2 years ago
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