This equation can be solved graphically by plotting the equations
f(x) = 3^x
and
g(x) = 5x-1.
The x-coordinate of the point(s) of intersection is the solution.
_____
On my graphing calculator, I find it easier to locate x-intercepts, so I would rewrite the equation as
3^x -(5x -1) = 0
and plot the function
h(x) = 3^x -(5x -1)
The x-intercept(s) would be the solutions. (There are two: x≈0.577, x=2.)
Answer: 119.57 cu. ft.
Step-by-step explanation:
Volume of a hemisphere = (2/3)πr^3
= (2/3) * 22/7 * 3.85^3
Answer:
- Area of the circle is 56.25π square feet.
Step-by-step explanation:
<u>Given that</u>:
- The circumference of a circle is 15π ft.
<u>To Find</u>:
- What is the area, in square feet?
<u>We know that</u>:
- Circumference of a circle = 2πR
- Area of a circle = πR²
Where,
<u>Finding the radius of the circle</u>:
Circumference of a circle = 15π
⟶ 2πR = 15π
⟶ 2πR = 2π × 7.5
Cancelling 2π.
⟶ R = 7.5
∴ Radius of the circle = 7.5 ft.
<u>Finding the area of the circle</u>:
⟶ Area = πR²
⟶ Area = π(7.5)²
⟶ Area = π × 7.5 × 7.5
⟶ Area = π × 56.25
⟶ Area = 56.25π
∴ Area of the circle = 56.25π ft.²
Answer:
8.1 inches
Step-by-step explanation:
Area of a triangle = ½ × base × height = Area
Rearranged =

Base is the length by the way.

=8.1 inches