Answer:
Area of the shaded region = 23.33 in²
Step-by-step explanation:
Area of a sector = 
Where θ = Central angle subtended by an arc
r = radius of the circle
Area of the sector BCD = 
= 52.36 in²
Area of equilateral triangle BCD = 
= 
= 
in²
= 43.30 in²
Area of the shaded portion in ΔBCD = 52.36 - 43.3
= 9.06 in²
Area of sector CAD = 
= 39.27 in²
Area of right triangle CAD = 
= 
= 
= 25 in²
Area of the shaded part in the ΔACD = 39.27 - 25
= 14.27 in²
Area of the shaded part of the figure = 9.06 + 14.27
= 23.33 in²
Answer: 5, 8
<u>Step-by-step explanation:</u>
The difference between 3 times a number and -8 is BETWEEN 23 and 32
Note: "difference" means subtraction --> 3x - (-8) --> 3x + 8
23 < 3x + 8 < 32
15 < 3x < 24 <em> subtracted 8 from all 3 sides</em>
--> 5 < x < 8 <em>divided 3 from all 3 sides</em>
First, we must understand why the three other choices are not mixtures. Salt is a compound made from elements Sodium and Chlorine. Aluminum is an element. Carbon dioxide is also a compound composed of Carbon and Oxygen.
Now, gasoline. is substance made from refined crude oils (or hydrocarbons). As a matter of fact, gasoline is an example of a homogenous mixture.
Thus, amongst the choices, the mixture would be gasoline<span>.
</span>
Answer:
Bath towels: $10 Hand towels: $5
Step-by-step explanation:
If Joy bought two bath towels, that are $10 each that's $20 total; but she returned 3 hand towels that cost $5 and $15 total. 20-15=5
Answer:
4π in ≈ 12.57 in
Step-by-step explanation:
One full revolution (2π radians) is made in 60 minutes. In 40 minutes, the hand moves through an angle θ of (40/60)(2π) = 4π/3 radians. The length of the arc is ...
s = rθ = (3 in)(4π/3) = 4π in ≈ 12.57 in
