Answer:
y = 5cos(πx/4) +11
Step-by-step explanation:
The radius is 5 ft, so that will be the multiplier of the trig function.
The car starts at the top of the wheel, so the appropriate trig function is cosine, which is 1 (its maximum value) when its argument is zero.
The period is 8 seconds, so the argument of the cosine function will be 2π(x/8) = πx/4. This changes by 2π when x changes by 8.
The centerline of the wheel is the sum of the minimum and the radius, so is 6+5 = 11 ft. This is the offset of the scaled cosine function.
Putting that all together, you get
... y = 5cos(π/4x) + 11
_____
The answer selections don't seem to consistently identify the argument of the trig function properly. We assume that π/4(x) means (πx/4), where this product is the argument of the trig function.
The perfect square monomial and its square root are shown in options 1, 2, and 5.
- A perfect square in mathematics is an expression that factors into two equally valid expressions. A monomial is a single phrase that is made up of the product of positive integer powers of the constants, variables, and constants. Consequently, a monomial that factors into two monomials that are the same is called a perfect square monomial.
- 1) 121, 11
- 11² = 121
- A perfect square monomial and its square root are represented by this equation.
- 2) 4x², 2x
- (2x)² = 4x²
- A perfect square monomial and its square root are represented by this equation.
- 3) 9x²-1, 3x-1
- (3x-1)² = 9x²- 6x +1
- This phrase does not depict a square monomial and its square root in perfect form.
- 4) 25x, 5x
- (5x)² = 25x²
- This phrase does not depict a square monomial and its square root in perfect form.
- 5) 49(x^4), 7x²
- (7x²)² = 49(x^4)
- A perfect square monomial and its square root are represented by this equation.
To learn more about monomial, visit :
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The ramp will form a triangle with height 2ft and base 6ft.
The length of the ramp will be the hypotenuse of this triangle.
length² = height² + base²
length = √(height² + base²)
length = √(2² + 6²)
length = √(4 + 36)
length = √40
length = 6.3ft
Therefore, the ramp will be 6.3ft long.
Answer:40.00212258
Step-by-step explanation:
(4 x 75384) ➗ 7538
301536 ➗ 7538=40.00212258
Answer:
-170= -10m - 20
Step-by-step explanation:
-20 is the y intercept, so in the equation y=mx+b that would be the b. Because he is going down at 10 meters per minute, it means that the -10 would go into the x spot and the -170 is where he needs to get to. Hope this helped!
