A) Gigabytes = x
B) 35+5x = 25+10x
10 = 5x
2 = x
C) After 2 gigabytes, the wireless services will cost the same ($45)
A \greenD{7\,\text{cm} \times 5\,\text{cm}}7cm×5cmstart color #1fab54, 7, start text, c, m, end text, times, 5, start text, c, m
erma4kov [3.2K]
Answer:
The area of the shaded region is 148.04 cm².
Step-by-step explanation:
It is provided that a 7 cm × 5 cm rectangle is inside a circle with radius 6 cm.
The sides of the rectangle are:
l = 7 cm
b = 6 cm.
The radius of the circle is, r = 6 cm.
Compute the area of the shaded region as follows:
Area of the shaded region = Area of rectangle - Area of circle
![=[\text{l}\times\text{b}]-[\pi\test{r}^{2}]\\\\=[7\times5]+[3.14\times 6\times 6]\\\\=35+113.04\\\\=148.04](https://tex.z-dn.net/?f=%3D%5B%5Ctext%7Bl%7D%5Ctimes%5Ctext%7Bb%7D%5D-%5B%5Cpi%5Ctest%7Br%7D%5E%7B2%7D%5D%5C%5C%5C%5C%3D%5B7%5Ctimes5%5D%2B%5B3.14%5Ctimes%206%5Ctimes%206%5D%5C%5C%5C%5C%3D35%2B113.04%5C%5C%5C%5C%3D148.04)
Thus, the area of the shaded region is 148.04 cm².
Answer:
arc DB length = 14π feet
Step-by-step explanation:
Assuming point A is the center of the circle, arc DC has measure 180°. Arc DB has measure 40° less, so is 140°. Since you want this in terms of π, we need to convert the degree measure to radians. We do that by multiplying by (π/180) radians per degree:
arc DB = 140° = 140°(π/180°) radians
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Now that we know the arc measure in radians, we can find the length of the arc. It is given by the formula ...
s = rθ
where r represents the radius and θ is the measure of the arc in radians.
The arc length is ...
s = (18 ft)(7π/9) = 14π ft
Arc DB has a length of 14π feet.
