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3 years ago

5

How to find the length of a major arc

1 answer:

yuradex [85]3 years ago

8 0

To find arc length, start by dividing the arc's central angle in degrees by 360. Then, multiply that number by the radius of the circle. Finally, multiply that number by 2 × pi to find the arc length.

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What other points are on the line of direct variation through (5, 12)? Check all that apply. (0, 0) (2.5, 6) (3, 10) (7.5, 18) (

aalyn [17]

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

in this problem we have

the point $(5,12)$ is on the line of direct variation

so

Find the constant of proportionality k

$y/x=k$ -------> substitute ------> $k=12/5$

the equation is

$y=\frac{12}{5}x$

Remember that

If a point is on the line of direct variation

then

the point must satisfy the equation of direct variation

we're proceeding to verify each point

<u>case A)</u> point $(0,0)$

$x=0\ y=0$

Substitute the value of x and y in the direct variation equation

$0=\frac{12}{5}*0$

$0=0$ -------> is true

therefore

the point $(0,0)$ is on the line of direct variation

<u>case B)</u> point $(2.5,6)$

$x=2.5\ y=6$

Substitute the value of x and y in the direct variation equation

$6=\frac{12}{5}*2.5$

$6=6$ -------> is true

therefore

the point $(2.5,6)$ is on the line of direct variation

<u>case C)</u> point $(3,10)$

$x=3\ y=10$

Substitute the value of x and y in the direct variation equation

$10=\frac{12}{5}*3$

$10=7.2$ -------> is not true

therefore

the point $(3,10)$ is not on the line of direct variation

<u>case D)</u> point $(7.5,18)$

$x=7.5\ y=18$

Substitute the value of x and y in the direct variation equation

$18=\frac{12}{5}*7.5$

$18=18$ -------> is true

therefore

the point $(7.5,18)$ is on the line of direct variation

<u>case E)</u> point $(12.5,24)$

$x=12.5\ y=24$

Substitute the value of x and y in the direct variation equation

$24=\frac{12}{5}*12.5$

$18=30$ -------> is not true

therefore

the point $(12.5,24)$ is not on the line of direct variation

<u>case F)</u> point $(15,36)$

$x=15\ y=36$

Substitute the value of x and y in the direct variation equation

$36=\frac{12}{5}*15$

$36=36$ -------> is true

therefore

the point $(15,36)$ is on the line of direct variation

therefore

<u>the answer is</u>

$(0,0)$

$(2.5,6)$

$(7.5,18)$

$(15,36)$

5 0

3 years ago

Read 2 more answers

What's 4x divided by 2x

Ksivusya [100]

I think that's 2x but I'm not really sure.

I hope this helps.

5 0

3 years ago

What is 20/16=d/12? what equals d?

ozzi

Answer:

d = 15

Step-by-step explanation:

Divide the numbers

$\frac{20}{16} =\frac{d}{12}$

$\frac{5}{4} =\frac{d}{12}$

Multiply all terms by the same value to eliminate fraction denominators

$12*\frac{5}{4} =12*\frac{d}{12}$

Cancel multiplied terms that are in the denominator

$12*\frac{5}{4} =d$

Multiply the numbers

$15=d$

Move the variable to the left

$d=15$

Hence, d= 15.

[RevyBreeze]

8 0

2 years ago

Read 2 more answers

Can smoke please help me with this I need help I’ll give brainliest

aniked [119]

Answer:

only one solution at x=0

Step-by-step explanation:

7 0

3 years ago

Help I don't know how to do geometry

Nana76 [90]

the transformation (x, y) → (x, y- 4) , means the x-coordinate remains unchanged, while the y-coordinate has 4 subtracted from it, for example

the points on the diagram

A(1, 5 ) → A'(1, 5 - 4) → A'(1, 1)

B(4, 5) →B'(4, 5 - 4) → B'(4, 1)

C(4, 3) → C'(4, 3 - 4) → C'(4, - 1)

D(2, 2) → D'(2, 2- 4) → D'(2, - 2)

6 0

4 years ago