Answer:
24 ft²
6 × 3 + (½ × 4 × 3)
Step-by-step explanation:
Split shape into a rectangle and triangle;
The rectangle is 6 by 3 ft, the area can be found by multiplying the 2 dimensions:
6 × 3 = 18
The triangle has base 4 ft, the total length of the shape (10 ft) take the 6 ft that is part of the rectangle;
The height is 3 ft;
The area us found by ½ × base × height:
½ × 4 × 3 = 6
Add this together to get the total area.
Answer:
amplitude = 2
Step-by-step explanation:
the amplitude is the distance from the x- axis(midline ) to the maximum value , that is
amplitude = 2
Answer: 16 rotations
Step-by-step explanation:
Given : Shawn is coasting down a 500 cm long ramp on his inline skates. The wheels on his inline skates are 32 cm in circumference.
Length of ramp = 500 cm
Circumference of wheels = 32 cm
Formula :
Number of rotations = Length of ramp divided by Circumference of wheels
= 500 cm ÷ 32 cm
= 15.625 ≈ 16 [approx]
Therefore, each wheel makes 16 rotations while Shawn is coasting down the ramp.
Answer:
f(x) = 8x⁴-8x²+1
Step-by-step explanation:
I will assume that f(cos θ) = cos(4θ). Otherwise, f would not be a polynomial. lets divide cos(4θ) in an expression depending on cos(θ). We use this properties
- cos(2a) = cos²(a) - sin²(b)
- sin(2a) = 2sin(a)cos(a)
- sin²(a) = 1-cos²(a)
cos(4θ) = cos(2 * (2θ) ) = cos²(2θ) - sin²(2θ) = [ cos²(θ)-sin²(θ) ]² - [2cos(θ)sin(θ)]² = [cos²(θ) - ( 1 - cos²(θ) ) ]² - 4cos²(θ)sin²(θ) = [2cos²(θ)-1]² - 4cos²(θ) (1 - cos²(θ) ) = 4 cos⁴(θ) - 4 cos²(θ) + 1 - 4 cos²(θ) + 4 cos⁴(θ) = 8cos⁴(θ) - 8 cos²(θ) + 1
Thus f(cos(θ)) = 8 cos⁴(θ) - 8 cos²(θ) + 1, and, as a result
f(x) = 8x⁴-8x²+1.
Answer:
The midpoint is
( (x1+x2)/2, (y1+y2)/2)
Step-by-step explanation:
To find the x coordinate of the midpoint
(x1+x2)/2
To find the x coordinate of the midpoint
(y1+y2)/2
The midpoint is
( (x1+x2)/2, (y1+y2)/2)