1) Calculate the whole arc (complete circumference):
Circumference = 2π*radius
radius = 6 foot
=> Circumference = 2 * 3.14 * 6 foot = 37.68
2) Calculate the time to make a whole round, by making a proportion with the two ratios:
ratio 1 = x / 37.68 =
ratio 2 = 3 / 14.13
ratio 1 = ratio 2 =>
x 3s
---------- = -----------
37.68 ft 14.13 ft
=> x = 3 * 37.68 / 14.13 = 8 s
3) Calcuate the angular velocity as the 2π rad (which is the total angle of a circle) divided by the time.
So the angular velocity is 2π rad / 8 s = 2*3.14 foot / 8 s = 0.785 rad / s
Answer: 0.785 rad / s
3x(x²-5)
Multiply the bracket by 3x
(3x)(x^2)=3x^3
(3x)(-5)=15x
Answer: 3x^3+15x
Answer: 400,000
Step-by-step explanation:
The product is the result of multiplication. In other words, you would multiply 80×5,000.
I hope this helps!! :)
<em>x = 25</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
- <em><u>
the opposite angles are equal</u></em>
<em><u>4x - 25 = 25 + 2x</u></em>
<em><u>4x - 2x = 25 + 25</u></em>
<em><u>2x = 50</u></em>
<em><u>x = 50 : 2</u></em>
<em><u>x = 25</u></em>
<em><u>Good luck ! </u></em>
The a and b determine how big or small the shape of the conic section is.
<span>For the different conic sections given through the equations </span>
<span>Circle: x^2/a^2 + y^2/a^2=1 </span>
<span>Ellipse: x^2/b^2+y^2/a^2 = 1 </span>
<span>Hyperbola: x^2/a^2 - y^2/b^2 = 1 </span>
<span>When trying to isolate cos and sin from those equations to get cos^2t + sin^2 t = 1 you can determine the conic section when substituting cos t = x/a and sint = y/b into cos^2t+sin^2t square it and then refer to the conic section equations to determine the conic section. x defines the major axis and y is the minor axis. a and b provide the coordinate pairs</span>
