Answer:
Measure of central angle is 3.665 radians
Step-by-step explanation:
In this question, we are trying to get the value of the central angle.
As we can see, the radius of the circle is 12cm while the length of the major arc is 14 pi cm.
Mathematically the length of an arc is calculated as follows;
Length of arc = theta/360 * 2 * pi * r
Plugging the values we have from the question;
14 pi = theta/360 * 2 * pi * 12
divide both sides by 2pi
7 = theta/360 * 12
360 * 7 = 12 theta
theta = (360 * 7)/12
theta = 210
Since 1 degree = pi/180 radian
it means 210 degrees = 210 * pi/180 = 3.665 radians
Answer: 9
Step-by-step explanation: You can start by setting this up as an equation, where X is Brooke’s age.
X + 2(x)+ 3 = 30
The 2(X) + 3 signifies the part of the problems identifying that Mia is twice her sisters age plus 3 years.
Combine x’s
3x + 3 = 30
Subtract 3 from both sides to isolate the x term
3x= 27
Divide both sides by 3 to reduce to a single x
X= 9 , which is brooke’s age
Answer:
79.77%
Step-by-step explanation:
P(X≥120) = normalcdf(120,1e99,130,12) = 0.7976716754 ≈ 0.7977 = 79.77%
Therefore, about 79.77% of operations last at least 120 minutes
Hi there, the factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96. So, we want the highest factor of 96. The factor we will use is the number 16. Lets get solving. √96=√16*6=√16*√6=4√6, Therefore, the square root of 96 simplified is 4√6 and the square root of 96 is 9.79795897113
I got 8/10 or 80% because if you add up all sandwichs together, you get 50, then you add up ham and tuna sandwichs and get 40 so 40/50 would be 80/100 to make it a percent or fraction.. hopefully this makes sense and i helped:) i wish i could just send the work to you so it could make more sense lol
