Answer:
The linear speed is ![1,130.4\frac{ft}{min}](https://tex.z-dn.net/?f=1%2C130.4%5Cfrac%7Bft%7D%7Bmin%7D)
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to
![C=2\pi r](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r)
we have
![r=18\ ft](https://tex.z-dn.net/?f=r%3D18%5C%20ft)
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
substitute
![C=2(3.14)(18)](https://tex.z-dn.net/?f=C%3D2%283.14%29%2818%29)
![C=113.04\ ft](https://tex.z-dn.net/?f=C%3D113.04%5C%20ft)
step 2
Find the linear speed in feet per minute
we know that
The wheel is rotating at 10 revolutions per minute
Convert revolutions to feet
Remember that
One revolution is equal to the circumference of the circle
so
10 revolutions is equal to
![(10)113.04=1,130.4\ ft](https://tex.z-dn.net/?f=%2810%29113.04%3D1%2C130.4%5C%20ft)
therefore
The linear speed is ![1,130.4\frac{ft}{min}](https://tex.z-dn.net/?f=1%2C130.4%5Cfrac%7Bft%7D%7Bmin%7D)
The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.
<h3>How to calculate the ellipse? </h3>
From the information given, the equation of parabola will be:
= (x - 3)²/5² + (y - 2)²/3² = 1
Hence, h = 3, k = 2, a = 5, b = 3
e = ✓1 - ✓3²/5²
E = 4/5 = 0.8
The directix will be:
x = 3 + 5/0.8
x = 9.25
x = 3 - 5/0.8
x = -3.25
Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.
Learn more about ellipse on:
brainly.com/question/16904744
Answer:
of course 34
Step-by-step explanation:
Answer:
y=3x+7
Step-by-step explanation:
Where y is the dependent variable and x is the independent variable. When we change x , Y also changes.
Answer:
186.5 + 2x
Step-by-step explanation:
First, radify 25. Luckily it's a perfect square so it will be 5.
Second, divide within the parentheses. You're expression should look like this.
(93-5+x+42/8)2
Divide 42/8. The decimal form would be 5.25, while the fraction should be 5 1/4.
Third, solve within the parentheses from left to right. Right now you're expression should look like this:
(93-5+x+5.25)2
Add all like terms
93-5+5.25=93.25
Fourth, multiply. Right now the expression should look like this:
(93.25 + x) 2
186.5 + 2x