Answer:
Step-by-step explanation:
(40,5) and (0,0) are points on the line.
Slope of line = (40 miles)/(5 minutes) = 8 Mikes per minute
Answer:
The circumference of the circle = 26π unit.
Step-by-step explanation:
Given:
Radius of the circle, r = "x+6"
Diameter of the circle, d = "3(x)+5"
We have to find the circumference of the circle in terms of pi.
Formula to be used:
Circumference of a circle = 2πr or πd
As we know that:
Radius = Half of diameter
So,
⇒ ![radius=\frac{diameter}{2}](https://tex.z-dn.net/?f=radius%3D%5Cfrac%7Bdiameter%7D%7B2%7D)
⇒
⇒ ![2\times (x+6)=\frac{3x+5}{2}\times 2](https://tex.z-dn.net/?f=2%5Ctimes%20%28x%2B6%29%3D%5Cfrac%7B3x%2B5%7D%7B2%7D%5Ctimes%202)
⇒ ![2x+12=3x+5](https://tex.z-dn.net/?f=2x%2B12%3D3x%2B5)
⇒
...<em>Arranging variables and constants. </em>
⇒
Plugging x = 7 we will find the radius and the diameter.
⇒ Radius = "x+6" = "7+6" = 13
⇒ Diameter = "3(x)+5" = 3(7)+5 =26
Lets find the circumference of the circle.
⇒ Circumference =
Or
⇒ Circumference =
The circumference of the circle = 26π unit.
Answer:
1/10 + 3/5=7/10
Step-by-step explanation:
Answer:
Initially, you have 2573 pieces.
You use 5 pieces each minute.
Right when you start, you have 2573 pieces.
One minute after that, you have 2573 - 5 pieces.
Another minute after, you have 2573 - 2*5 pieces.
Another minute after, you have 2573 - 3*5 pieces.
And so on.
You can see the pattern here, and with this, we can find the linear equation that represents the number of pieces that you have as a function of time.
Then, if the variable t represents the number of minutes that passed since you started, we can write the equation:
f(t) = 2573 - 5*t
That represents the number of pieces that you have after t minutes.
Answer:
m = 4√2
Step-by-step explanation:
This is a right angled isosceles triangle whose sides are in the ratio 1:1:√2.
So = 8 / √2
= 8 *√2 / 2
= 4√2