Answer:
To the nearest hundredth, this is 30.79 units
Step-by-step explanation:
To find the length of the arc, we simply apply the length of arc formula
Mathematically, that would be;
theta/360 * 2 * pi * r
Theta here is 98
r is 18 units
So the length of the arc will be;
98/360 * 2 * 22/7 * 18
= 30.7876 units
to the nearest hundredth, this is;
30.79 units
Answer:
The value of Mary's investment after two years = £12362.7
Step-by-step explanation:P = Principal / initial amountR = rate of interest per cent per yearT = number of yearsA = final amount at the end of T yearsThen:A = P*(1 + R/100)^2In our example:P = £12000R = 1.5 per cent per yearT = 2 yearsThus:A = 12000*(1 + 1.5/100)^2 = 12000*(1 + 0.015)^2 = 12000*(1.015)^2 = 12000*(1.030225) = 12362.7Value of investment after two years = £12362.7
The histogram is attached. Every column shows on the bottom the range of age and on the left the number of cars of that particular age.
In order to find the percentage of cars with less than 20 years or more than 40 years, you have to sum up the numbers of cars in the first two columns from left (age 0-9 and 10-19) and the last two (age 40-49 and 50-59).
The number of cars of requested age is: 3 + 2 + 0 + 3 = 8
Now, you need to calculate the total number of cars (sum the cars of every column): 3 + 2 + 8 + 4 + 0 + 3 = 20
Lastly, you need to calculate the ration between the cars of requested age and the total number of cars, and transform it into a percentage:
8 ÷ 20 = 0.40 = 40%
Therefore, your answer is
40%.
Answer:
D, Circle
Step-by-step explanation:
All the other shapes are 3D and have a volume.