This is a case where we have to multiply fractions.
4/5 × 2/3 = 8/15
Hope this helps!
Answer: ![96\pi\text{ units}^2](https://tex.z-dn.net/?f=96%5Cpi%5Ctext%7B%20units%7D%5E2)
Step-by-step explanation:
From the given picture, it can be seen that the radius of the circle = 16 units
Also, the measure of central angle XYZ
radians
The area of sector with radius r and angle x radian is given by :-
![\text{Area of sector}=\dfrac{1}{2}r^2\ x](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20sector%7D%3D%5Cdfrac%7B1%7D%7B2%7Dr%5E2%5C%20x)
Now, the area of the shaded sector is given by :-
![\text{Area of the shaded sector}=\dfrac{1}{2}(16)^2\dfrac{3}{4}\pi\\\\\Rightarrow\text{Area of the shaded sector}=96\pi\text{ units^2}](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20the%20shaded%20sector%7D%3D%5Cdfrac%7B1%7D%7B2%7D%2816%29%5E2%5Cdfrac%7B3%7D%7B4%7D%5Cpi%5C%5C%5C%5C%5CRightarrow%5Ctext%7BArea%20of%20the%20shaded%20sector%7D%3D96%5Cpi%5Ctext%7B%20units%5E2%7D)
Answer:
The second one
Step-by-step explanation:
This is just solving percentages which is fairly easy! :)
To solve an equation like this, make all the percentages into decimals:
-.30
-.25
Now, take 750$ and multiply it by .30 = 225$
Do the same with .25 % = <span>187.50
Now add the two variables together, and subtract from 750 $
The author will take home = </span><span>337.5</span>
The "mean" is the same thing as the "average".
To get the average, you add up all the numbers on the list,
then divide the big sum by the number of items on the list.
If there are 100 numbers on the list, then in order to find their average,
you would add up all 100 numbers, then divide the big sum by 100.
If you wound up with an average of 51.18, then you must have had
5,118 just before you divided it by 100. So the big sum is 5,118.