Answer:
5. c = 8pi cm
6. c = 18pi ft
7. c = 8.6pi in
8. c = 11/2pi m
Step-by-step explanation:
The circumference of a circle can be easily found using the formula: c = 
d, where the diameter is d.
Now you just plug your numbers into the formula!
5. c = pi x d
c = 8pi cm
6. This one gives you the radius instead of the diameter. All you need to do now is to double the radius to find the diameter.
9 ft x 2 = 18 ft
Now, it follows the formula.
c = pi x d
c = 18pi ft
7. c = pi x d
c = 8.6pi in
8. c = pi x d
c = pi x 2(2 3/4m) - Note that this is a mixed fraction. To be able to multiply it, you need to convert it to an improper fraction.
c = pi x 2(11/4)
c = pi x 11/2
c = 11/2pi m
:)
Answer:
He made $25,000 in total. A 10% is 1 tenth of the total. so multiply 2500 by 10.
Step-by-step explanation:
Answer:
D) (2, 14)
Step-by-step explanation:
substitute each coordinates into the inequality:
(0, 0)
y > 5x
0 > 5*0
0 > 0
this is false, 0 = 0.
(3, 12)
y > 5x
12 > 5 * 3
12 > 15
this is false, 12 < 15
(-2, -10)
y > 5x
-10 > 5 * -2
-10 > -10
this is false, -10 = -10
(2, 14)
y > 5x
14 > 5 * 2
14 > 10
this is true, 14 > 10
Answer:
The equation of the perpendicular line would be y = -2/5x - 1
Step-by-step explanation:
In order to find this line, we must first find the slope of the original line. We do this by solving for y.
-5x + 2y = -10
2y = 5x - 10
y = 5/2x - 5
This shows us a slope of 5/2. TO find the perpendicular slope, we use the opposite and reciprocal. This means we negative 5/2 to get -5/2 and then we flip it to get -2/5. Now that we have this, we can use the slope and the point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 1 = -2/5(x + 5)
y - 1 = -2/5x - 2
y = -2/5x - 1
To determine the probability that one or the other circumstances will occur, you will count the number of possible outcomes and divide it by all the possible outcomes.
#of female teaching assistants + # of male teaching assistants + # of female professors
6 + 16 + 11 = 33
Total = 41
33/41 = 80
There is a approximate 80% probability that one or the other will occur.
