Given:
Circular racetrack with a diameter of 1/2 mile
Find: how far does a car travel in one lap around the track?
We need to find the circumference of the racetrack.
Circumference is multiplying pi to the diameter of the racetrack.
Circumference = 3.14 * 1/2 mile
Circumference = 3.14/2 mile
Circumference = 1.57 miles rounded to the nearest tenth is 1.60 miles.
Answer:
V = 314.2 ft^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h r is the radius (5) and h is the height (4)
Using the pi button for pi
V = pi (5^2) (4)
V =314.1592654
Rounding to the nearest tenth
V = 314.2 ft^3
Answer:
y=1/2x+3
Step-by-step explanation:
-4x+8y=24
Slope-intercept form: y=mx+b
Add -4x on each side
-4x+8y=24
+4x +4x
8y=4x+24
Divide by 8 on each side
<u>8y</u>=<u>4x+24</u>
8 8
y=4/8x + 3
Simplify 4/8x
y=1/2x+3
A system of linear equations will have no solution when the two lines making up the equation are parallel. Here, a system having x + y = 2 will have no solution if the second equation is x + y = a. where a is any real number.
Answer:
a≈2.343
Step-by-step explanation:
View Image
Integrating an equation from boundary x₀ to x₁ gives you the area underneath that boundary.
So to find the boundary that split the equation into 2 equal areas, the boundary must lie somewhere between the 2 place to want to split up. In other word, <em>a</em> is the end boundaries of the first integral and the starting boundary of the second integral.
Since the two area must equal to each other, set the two integral equal to each other and solve for a.
