Answer:
The irrational number is 4.37124...
Step-by-step explanation:
This is because the number is non-terminating and non-repeating; as in the numbers don't repeat in the same order and they never end.
Answer:
x=30
Step-by-step explanation:
because 3 times 30 equal 90 minus 5 is 85
Answer:
6 slices
Step-by-step explanation:
The full pizza is 12 pieces. Divide 12 by 4 to find out how much she ate on Thursday. 1/4 of 12 is 3 so she ate 3 slices on Thursday. Subtract 3 from 12 to find out how much was left for the next day. There were 9 slices the next day. Next, divide 9 by 3 to find out what 1/3 of 9 is. 1/3 of 9 is 3 so subtract 3 from the 9 slices. 6 slices are the original pizza remain.
Step-by-step explanation:
Rate of change = final - initial / time(in years)
= 41 - 43 / 2014 - 2012
= - 2 / 2
<u>Rate of change</u> = <u>- 1</u>
Therefore, the number of employees with health care benefits reduced by 1 person per year between 2012 - 2014 in response to policy changes.
Answer:
Step-by-step explanation:
The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.
The volume of the square prism is given by , where is the base length and is the height. Substituting given values, we have:
The volume of a trapezoidal prism is given by , where and are bases of the trapezoid, is the length of the height of the trapezoid and is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases () multiplied by the trapezoid's height ().
Substituting given values, we get:
Therefore, the total volume of the composite figure is (ah, perfect)
Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer: