Answer:
=13.73 ft²
Step-by-step explanation:
The diameter of the largest possible circle that can be cut out of a square is equal to the length of the side of the square.
Therefore the diameter of the circle cut from a square of side 8ft =8ft
r=4ft
Area of the remaining board= Area of square- area of circle
=side²-πr²
=8²-π×4²
=64-16π
=13.73 ft²
Answer:
36
Step-by-step explanation:
x+4y=8+4(7)=8+28=36
The inequalities are x + y < 5000 and 0.10x + 0.15y ≤ $450 which shows each month, you want to only spend up to $450 and use less than 5,000 minutes on both of the devices.
<h3>What is inequality?</h3>
Inequality is defined as a mathematical expression in which both sides are not equal and have mathematical signs that are either less than or greater than.
Let's suppose the total minutes of uses for cell phone is x
and total minutes of uses of for tablet is y
Cell phone cost $0.10 each minute and tablet cost $0.15 each minute.
Then total minutes will be:
x + y < 5000 (as it is given that the time will be less than 5,000 minutes on both of the devices)
And total cost = $450
0.10x + 0.15y ≤ $450
Thus, the inequalities are x + y < 5000 and 0.10x + 0.15y ≤ $450 which shows each month, you want to only spend up to $450 and use less than 5,000 minutes on both of the devices.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ1
Answer:
a. 18 b. 119°, 118°
Step-by-step explanation:
a. Given angles are vertical, so they are equal.
6a+11 = 2a+83
6a-2a = 83-11
4a = 72
a = 72/4
a = 18
b. Substituting the value of a in the given angles,
6a+11 = 6*18+11 = 108+11 = 119°
2a+83 = 2*18+83 = 36+83 = 118°
