Answer:
D: 109 cm
Step-by-step explanation:
The formula of circumference is

Diameter =

Hence, circumference =

rounded of to 109.
Ok, so you have your equation, 5·x+5-(5x+25).
First, do the prathases, so you have, 5x+5-5x-25.(5·x also means 5x)
Now, you need to combine like terms, and through that the xs cancel out, so you are left with -20 as you answer.
Answer:
y = 3x + 23 and

Step-by-step explanation:
The first equation is 9x - 3y = - 69 and we have to write it in slope-intercept form.
Now, 9x - 3y = - 69
⇒ 3x - y = - 23 {Dividing both sides by 3}
⇒ 3x + 23 = y
⇒ y = 3x + 23 {Interchanging the sides} (Answer)
The second equation is x - 3y = - 6 and we have to write it in slope-intercept form.
Now, x - 3y = - 6
⇒ x + 6 = 3y
⇒ 3y = x + 6 {Interchanging the sides}
⇒
{Dividing both sides by 3}
⇒
(Answer)
Step-by-step explanation:
The ladder forms a triangle with the wall and ground.
The side of the triangle opposite of the 60° angle is 4 feet.
To find the length of the ladder (the hypotenuse), use sine.
sine = opposite / hypotenuse
sin 60° = 4 / L
L = 4 / sin 60°
L = 4 / (√3 / 2)
L = 8 / √3
L = 8√3 / 3
L ≈ 4.619 feet
To find the distance from the wall, use tangent.
tangent = opposite / adjacent
tan 60° = 4 / x
x = 4 / tan 60°
x = 4 / √3
x = 4√3 / 3
x ≈ 2.309 feet