Answer:
Hence, the arc length is 2π feet or 6.28 feet.
Step-by-step explanation:
In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians.
If the central angle is measured in degrees than the arc length is given by:
arc length=(θ\360°)×2πr.
and if central angle is measured in radians than the arc length is given by:
arc length=θr. ( where r is the radius of the circle)
where θ is the central angle.
Hence, here we have:
r= 3 ft.
and θ=2π/3.
Hence the arc length is given by:
Arc length=(2π/3)×3=2π feet.
Hence, the arc length is 2π feet or 2×3.14=6.28 feet.
Answer:
2 π
explanation:
I took the quiz
Answer:
a = √(c² - b²)
General Formulas and Concepts:
Pre-Algebra
Step-by-step explanation:
Step 1: Define
a² + b² = c²
Step 2: Rearrange
And we have our final answer!
Q(−2,1),R(−3,4),S(−5,3),T(−4,0)
B
Q(−2,−1),R(−3,−4),S(−5,−3),T(−4,0)
C
Q(1,2),R(4,3),S(3,5),T(0,4)
D
Q(2,−1),R(3,−4),S(5,−3),T(4,0)
Answer:
The correct answer is:
D) Q(2,1) R(3,-4) S(5,-3) T(4,0)
Step-by-step explanation:
When you reflect over the x-axis the vertices of the parallelogram, the y -coordinates is multiplying by -1.
Then the new coordinates of the parallelogram are:
Q(2,-1) R(3,-4) S(5,-3) T(-4,0)
A. 5
B. 6.8
C. 1
D. x
Answer: A. 5
Step-by-step explanation:
The given exponential equation:
To calculate the y intercept , we need to substitute x =0 , the given equation, we get
Hence, the y intercept of the given exponential equation = 5.
The slope of the function y = 2x^2 + 2 at the point x = 3 is 12.
The slope of a function can be determined using the derivative of the function. In this case, the function is y = 2x^2 + 2. Taking the derivative of this function gives us dy/dx = 4x. To find the slope at x = 3, we substitute x = 3 into the derivative: dy/dx = 4(3) = 12.
#SPJ1
15h+9>110
9h+15<110
9h+15>110
Answer:
Let h = number of hours she worked on Monday
Given that she makes $9 per hour, it is 9 x h or 9h.
If her tips is a fixed $15 amount, then we simply add 15.
9h + 15
This expression above is the amount she made last Monday.
Since she made no less than $110, meaning she made more than $110 last monday.
The final inequality is: 9h + 15 > 110.
Step-by-step explanation: