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2 years ago

What are the expressions to fin the radius of an object having a circumference of 46 feet

1 answer:

3 0

Since the equation for solving circumference is 2 $\pi$ r, you can see that 2 $\pi$ r = 46. Dividing 2 $\pi$ on both sides will give you r, or the radius.
Hope this helped! :)

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Find the equation of the line that passes through (0, -3) and is parallel to

Tresset [83]

Hey there!

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Answer:

$\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

$\\$

Explanation:

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be $\: \sf{d_1} \:$ and the line that is parallel to $\: \sf{d_1} \:$ be $\: \sf{d_2} \:$ .

$\sf{d_2} \:$ passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

$\sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}}$

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⇒Subtitute the values :

$\sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )}$

$\implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}$

$\sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}}$ .

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

$\sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \: the \: line \: and \: b \: is \: the \: y-intercept.}$

$\implies \sf{y = \bold{\dfrac{7}{6}}x + b}$ $\\$

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line $\: \sf{d_1} \:$ . Now, replace y with -3 and x with 0:

$\implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Therefore, the equation of the line $\: \bold{d_1} \:$ is $\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

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▪️Learn more about finding the equation of a line that is parallel to another one here:

↣brainly.com/question/27497166

8 0

1 year ago

Read 2 more answers

11. In AWTY, if mZW is five less than twice mZY and mZX is 21 more than m_Y find the measure

wolverine [178]

9514 1404 393

Answer:

angles (W, X, Y) = (77°, 62°, 41°)

Step-by-step explanation:

Given:

ΔWZY

∠W = 2(∠Y) -5°

∠X = ∠Y +21°

Find:

∠X, ∠Y, ∠W

Solution:

Using angle measures in degrees, we have ...

∠X + ∠Y + ∠Z = 180

(∠Y +21) +∠Y + (2(∠Y) -5) = 180

4(∠Y) +16 = 180 . . . . . simplify

∠Y +4 = 45 . . . . . . . . . divide by 4

∠Y = 41 . . . . . . . . . . . . subtract 4

∠W = 2(41) -5 = 77

∠X = 41 +21 = 62

The angle measures of angles (W, X, Y) are (77°, 62°, 41°), respectively.

7 0

2 years ago

The Elkwood Aquatic Society is working with various reptile species to increase their populations. The initial population of 450

kherson [118]

Hfsursudtiditdgkduxryxux. g ug b ug ut

8 0

2 years ago

Solve the equation -25+4y=35

borishaifa [10]

-25+4y=35
*Subtract 35*
-25+4y-35=0
*add 25 (to cancel out)*
4y-35=25
*add 35 (to cancel out)*
4y=60
*Divide by 4 to get y on its own*
y=15
Hope this helps :)

6 0

2 years ago

Read 2 more answers

IF YOU ANSWER THIS I WILL GIVE YOU BRAINLIEST!! 21PTS

vovangra [49]

200 < 225 + 80x < 550

The 200 is the amount the Jenna currently have.
225 + 80x is the amount that Jenna has to pay given x number of hours.
550 is the sum of Jenna's 200 and additional 350 she can get by selling pre-ordered Cds. This is the maximum amount she can pay for the studio rental and sound technicians.

225 + 80x < 550
80x < 550 -225
80x < 325
80x / 80 < 325/80
x < 4.06 or 4 hours

225 + 80x → 225 + 80(4) = 225 + 320 = 545

The number of hours for the sound technician will range from 1 hour to 4 hours.

Assuming they will use 6 hours.

225 + 80(6) = 225 + 480 = 705
705 - 550 = 155

Jenna has to raise an additional $155 to pay off the studio rent and 6 hours of sound technicians.

4 0

2 years ago