In each circle, we have a sector that subtends an angle of 270 deg at the center, with a radius of 4
We can obtain the area of each sector as :
![\begin{gathered} \text{Area of sector = }\frac{\theta}{360^0}\text{ }\times\text{ }\pi r^2 \\ =\text{ }\frac{270^0}{360^0}\text{ }\times\text{ }\pi\text{ }\times4^2 \\ =\text{ 37.7 square units} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BArea%20of%20sector%20%3D%20%7D%5Cfrac%7B%5Ctheta%7D%7B360%5E0%7D%5Ctext%7B%20%7D%5Ctimes%5Ctext%7B%20%7D%5Cpi%20r%5E2%20%5C%5C%20%3D%5Ctext%7B%20%7D%5Cfrac%7B270%5E0%7D%7B360%5E0%7D%5Ctext%7B%20%7D%5Ctimes%5Ctext%7B%20%7D%5Cpi%5Ctext%7B%20%7D%5Ctimes4%5E2%20%5C%5C%20%3D%5Ctext%7B%2037.7%20square%20units%7D%20%5Cend%7Bgathered%7D)
Given that there are 4 of such sectors, we have:
![\begin{gathered} \text{Area of shaded region = 4 }\times\text{ 37.7} \\ =\text{ }150.8\text{ square units} \\ =\text{ 151 square units} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BArea%20of%20shaded%20region%20%3D%204%20%7D%5Ctimes%5Ctext%7B%2037.7%7D%20%5C%5C%20%3D%5Ctext%7B%20%7D150.8%5Ctext%7B%20square%20units%7D%20%5C%5C%20%3D%5Ctext%7B%20151%20square%20units%7D%20%5Cend%7Bgathered%7D)
Answer = 151 square units
Answer: .55
55/100
Step-by-step explanation:
Answer:
Yes, you are correct
Step-by-step explanation:
Since y = x•3 and x = -5, -5•3 = -15 so y = -15
To solve this, we should make an equation. The equation has to be in terms of L, which is Leon since Kim has $17 more than him.
The equation:
(L+17) + L = 111
The parenthesis represent how much Kim has. We can take the parenthesis out to actually solve the equation.
L + 17 + L = 111
Let's add like terms, which is L.
2L + 17 = 111
Subtract 17 on both sides.
2L= 94
Divide.
L= 47
We know Leon has 47, now we have to solve Kim by just adding 17 since she has 17 more than Leon.
47+17= 64
So Kim has 64. Let's check by adding and making sure their two values are equal up to 111.
64+47=111
Leon has $47 and Kim has $64.