Answer:
Option C, Ryder owed his mom $2.50. He babysits his sister and makes $8.75
Step-by-step explanation:
<em>Since it starts at 0 and goes to -2.5, that means that he owes $2.50</em>
<em>Since it goes from -2.5 to 6.25, that means that he ears $8.75</em>
Answer: Option C, Ryder owed his mom $2.50. He babysits his sister and makes $8.75
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:
y = ![\frac{16}{3}x-79](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B3%7Dx-79)
Step-by-step explanation:
From the given table,
Two points are (1, 15) and (7, 47)
If the two points
and
are lying on a line then slope 'm' of the line will be,
m = ![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
= ![\frac{47-15}{7-1}](https://tex.z-dn.net/?f=%5Cfrac%7B47-15%7D%7B7-1%7D)
= ![\frac{32}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B32%7D%7B6%7D)
= ![\frac{16}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B3%7D)
Let the equation of a line passing through (h, k) is,
y - h = m(x - k)
If the line passes through (1, 15)
y - 1 = ![\frac{16}{3}(x-15)](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B3%7D%28x-15%29)
y = ![\frac{16}{3}x-\frac{16}{3}(15)+1](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B3%7Dx-%5Cfrac%7B16%7D%7B3%7D%2815%29%2B1)
y = ![\frac{16}{3}x-80+1](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B3%7Dx-80%2B1)
y = ![\frac{16}{3}x-79](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B3%7Dx-79)
Here's my work. Hope it helps.