Given: In the given figure, there are two equilateral triangles having side 50 yards each and two sectors of radius (r) = 50 yards each with the sector angle θ = 120°
To Find: The length of the park's boundary to the nearest yard.
Calculation:
The length of the park's boundary (P) = 2× side of equilateral triangle + 2 × length of the arc
or, (P) = 2× 50 yards + 2× (2πr) ( θ ÷360°)
or, (P) = 2× 50 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)
or, (P) = 100 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)
or, (P) = 100 yards + 209.33 yards
or, (P) = 309.33 yards ≈309 yards
Hence, the option D:309 yards is the correct option.
Answer:
maybe but (-4,2) only because the -4 is in the x place (x,y)
Step-by-step explanation:
Ordered pair usually refers to a set of two numbers used to locate a point in a coordinate plane. When an ordered pair refers to the location of a point in the coordinate plane, they are called the coordinates of the point.
Answer:
The coefficient of correlation does not change.
Step-by-step explanation:
We are given the following in the question:
The daily intake food is measured in ounces.
The body weight is measured in pounds.
Correlation between food intake and body weight = 0.80
Properties of correlation:
- Correlation is a technique that help us to find or define a relationship between two variables.
- It is a measure of linear relationship between two quantities.
- The correlation between two variables is not effected by the units of the variable.
- Even if the variable of the explanatory variable or the response variable changes, the correlation does not not change and remains same.
Conclusion:
A shift in units from ounces to grams and from pounds to kilogram does not change the value of coefficient of correlation.
Assuming that the fee is purely based on duration, the equation would look like this:
c= a*p
where c= cost, a= rates per hour, p= hours of parking
Alexandra pays 7$ for 3 hours parking. So, a would be:
c= a*p
7$= a * 3 hr
a= 7$/3hr
Then the final equation would be:
c= (7/3) *p