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3 years ago

Trigonometry lesson. Find X and Y

Mathematics

1 answer:

noname [10]3 years ago

7 0

Answer:

12 =x

20.78460969=y

Step-by-step explanation:

sin theta = opposite side / hypotenuse

sin 60 = y /24

Multiply each side by 24

24 sin 60 = y/24*24

24 sin 60 =y

20.78460969=y

cos theta = adjacent side / hypotenuse

cos 60 = x /24

Multiply each side by 24

24*cos 60 = x/24*24

24 cos 60=x

12 =x

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2. Given a directed line segment with endpoints A(3, 2) and B(6, 11), what is the point that

KATRIN_1 [288]

Answer:

The point of division is (5 , 8)

Step-by-step explanation:

* Lets explain how to solve the problem

- If point (x , y) divides the line whose endpoints are $(x_{1},y_{1})$

and $(x_{2},y_{2})$ at ratio $m_{1}:m_{2}$ , then

$x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}$ and

$y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}$

* Lets solve the problem

- The directed line segment with endpoints A (3 , 2) and B (6 , 11)

- There is a point divides AB two-thirds from A to B

∵ The coordinates of the endpoints of the directed line segments

are A = (3 , 2) and B = (6 , 11)

∴ $(x_{1},y_{1})$ is (3 , 2)

∴ $(x_{2},y_{2})$ is (6 , 11)

∵ Point (x , y) divides AB two-thirds from A to B

- That means the distance from A to the point (x , y) is 2/3 from

the distance of the line AB, and the distance from the point (x , y)

to point B is 1/3 from the distance of the line AB

∴ $m_{1}:m_{2}$ = 2 : 1

∵ $x=\frac{(3)(1)+(6)(2)}{2+1}=\frac{3+12}{3}=\frac{15}{3}=5$

∴ The x-coordinate of the point of division is 5

∵ $y=\frac{(2)(1)+(11)(2)}{2+1}=\frac{2+22}{3}=\frac{24}{3}=8$

∴ The y-coordinate of the point of division is 8

∴ The point of division is (5 , 8)

6 0

3 years ago

The circle below is centered at (2, 3) and has a radius of 4. What is its

OLEGan [10]

C. Is try correct answer
See example in the attached picture

6 0

3 years ago

How much water can this container hold?

kirill [66]

Answer: 24429.02

Step-by-step explanation:

4 0

3 years ago

WILL GIVE BRAINLEIST SUPER EASY NEED TO TURN IN BY 9:45 PLS HURRY.

ki77a [65]

Answer:

144 cookies

Step-by-step explanation:

Since the 3 dozen cookies she baked was 1/4th the amount in total, all you have to do to find the total amount is multiply the fraction of the cookies 3 dozen (36) by 4.

36×4 = 144 cookies in total

6 0

3 years ago

For the circle with equation (x-2)^2+(y+3)^2=9, answer each question. a) whats coords of the center? b) what are the radius and

MrRissso [65]

Answer:

<h2>a) center (2, -3)</h2><h2>b) radius r = 3</h2><h2>c) in the attachment</h2>

Step-by-step explanation:

The standard form of an equation of a circle:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have:

$(x-2)^2+(y+3)^2=9\\\\(x-2)^2+(y-(-3))^2=3^2$

a) center (2, -3)

b) radius r = 3

c) in the attachment

4 0

3 years ago