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:
650
Step-by-step explanation:
Answer:
Step-by-step explanation:
For this case we have the following info given:
Weight before diet 180 125 240 150
Weight after diet 170 130 215 152
We define the random variable and we can calculate the inidividual values:
D: 10, -5, 25, -2
And we can calculate the mean with this formula:
And the deviation with:
And after replace we got:
And the confidence interval for this case would be given by:
The degrees of freedom are given by:
For the 95% of confidence the value for the significance is and the critical value would be . And replacing we got:
Answer:
The expression does not represent a percent increase greater than 12%.
Step-by-step explanation:
We are asked to find whether the expression represent a percent increase greater than 12% if the original amount is x.
First of all, we will find 12% increase. The total amount after x% increase would be original amount plus 12% of original amount.
Since 1.12 is greater than 1.016, therefore, the expression does not represent a percent increase greater than 12%.
We can rewrite as:
Let us convert to percent by multiplying by 100.
Since 1.6% is less than 12%, therefore, the expression does not represent a percent increase greater than 12%.
Answer:
B is correct
Step-by-step explanation: