Answer:
825.663706143591cm
Step-by-step explanation:
80cm × 4 = 320cm
100cm × 3 = 300cm
The radius is 40
40 × 2 = 80cm
Circumference is πd
π80 = 251.327412287183
÷ 2 = 125.663706143591cm
In total
320 + 300 + 80 + 125.663... =
825.663706143591cm
The domain for which the function is defined is given by:
D. 
.
<h3>What is the domain of a function?</h3>
The domain of a function is the set that contains all possible input values for the function.
A square root is only defined for non-negative values, hence:
.
.
The intersection of these two domains is , hence option D is correct.
More can be learned about the domain of a function at brainly.com/question/10891721
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Since Theoretical probability is the ratio desired outcomes/total outcomes, the theoretical probability would be 41/240
Answer:
1/2 is the slope of the line
Step-by-step explanation:
To find slope, use the following equation
slope (m) = (y₂ - y₁)/(x₂ - x₁)
First, set each coordinate. Let:
(x₁ , y₁) = (8 , -6)
(x₂ , y₂) = (4 , -8)
Plug in the corresponding numbers for the corresponding variables.
m = (y₂ - y₁)/(x₂ - x₁)
m = (-8 - (-6))/(4 - 8)
Simplify. Note that two negative signs would result in a positive sign.
m = (-8 + 6)/(4 - 8)
Combine like terms.
m = -2/-4
Simplify. Divide common factors from both the numerator and denominator.
m = (-2/-4)/(-2/-2) = 1/2
1/2 is the slope of the line
~
Using the given formula speed = distance over time:
Speed = 70 miles / 3 hours
Speed = 23.33 miles per hour
Convert miles per hour to meters per hour:
1 mile = 1609 meters:
23.33 miles x 1690 meters = 37,543.33 meters per hour.
Now convert meters per hour to meters per second:
1 hour = 3600 seconds:
37,543.33 / 3600 = 10.4 meters per second.
