The area of the circle is calculated through the equation,
A = πr²
where A is the area and r is the radius. An alternate equation can be used,
A = πD²/4
where D is the diameter.
Substituting the known value to the equation,
A = π(9.1 cm)² / 4
A = 65.03 cm²
The area of the sector, As, is calculated by multiplying the area of the circle by the ratio of the angle to the whole revolution.
As = (65.03 cm²) x (170°/360°)
<em>As = 30.71 cm²</em>
The answer to this question is therefore letter B.
Answer:
Charley's class.
Step-by-step explanation:
There are 25 students in Amanda class and 27 in Charley's.
Number of students with no pets in Amanda's = 7 which is 100 * 7/25 = 28%.
In Charley's class this is 8 which is 100 * 8/27 = 29.6%.
First, some housekeeping:
cos = 12/13 is incomplete; "cos" must have an argument (input).
cos x = 12/13 is fine; here "cos" has the argument (input) x.
Given that cos x = 12/13, find sin x. To do this, we'll need to find the length of the opposite side, given that the hypo length is 13 and the adj. side length is 12.
12^2 + opp^2 = 13^2, or opp^2 = 169-144 = 25.
Then the opp side could be either 5 or -5. Let's assume that it's +5, and that angle x is in the first quadrant.
Then sin x = opp / hyp = 5/13 (answer)
cos 2 is an entirely different kind of problem. Here you are told what the argument (input) to the cosine function is (it is 2, which here means 2 radians).
Using a calculator: cos 2 = -0.416. Note that the angle 2 rad is in QII, which is why the "adjacent side" is negative and also why the cos of 2 is negative.
Answer:
C
Step-by-step explanation:
Square root of 290: Use calculator OR estimate
17^2=289
Number of females = f
Total number of people in audience = n
0.4n = f
f + (f+ 100) = n
2f + 100 = n
Find n:
f = 0.4n --> Replace f with 0.4n in the equation 2f +100 = n
2(0.4n) + 100 = n --> Multiply out the brackets
0.8n + 100 = n --> Subtract 0.8n from both sides
100 = 0.2n --> To get n, multiply both sides by 5
n = 500
There were 500 people in the audience.