The length of the arc intercepted by a central angle is the ratio of the angle to 360 degrees times the circumference. From the given values above,
S = (30° / 360°) x 2 x π x (6 ft)
S = π
The angle intercepted an arc which measures π feet. The answer is letter A.
Answer
Find out the conversion factor for seconds to minutes and convert 135 seconds to minutes.
To prove
1 minute = 60 second
for seconds to minutes.
Therefore the conversion factor for seconds to minutes be
Now convert 135 seconds to minutes.
= 2.25 minutes
Hence proved
V solid = π *
* 13 / 3 + π *
* 2 = 3.14 * 25 *13 / 3 + 3.14 * 50 = 340.16 + 157 = 497.16 ≈ 497.20 cubic centimeters;
Answer:
0.9797
Step-by-step explanation:
We have X = number of insects in the 25bgrams of butter
Then the legal limit of concentration in peanut butter = 30 fragments/ 100 grams
Then insect amount in 25 grams =
E(X) = 30/100 x 25
= 0.3 x 25
= 7.5 fragments of insects
Using the poisson function in Excel, the probability of at least 3 crunchy critters
1 - p(X<=2)
p(X<=2) = POISSON (2, 7.5, TRUE) = 0.020156715
1 - 0.020156715
= 0.9797
Using the given linear function of best-fit, the most likely approximate height of the plant after 8 weeks would be of 7.4 centimeters.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The line of best-fit goes through points (0,1) and (5,5). Point (0,1) means that the y-intercept is of b = 1. The slope is given as follows:
m = (5 - 1)/(5 - 0) = 4/5 = 0.8.
Hence the equation that gives the approximate height after x weeks is:
y = 0.8x + 1.
After 8 weeks, the expected height is:
y = 0.8 x 8 + 1 = 6.4 + 1 = 7.4 centimeters.
More can be learned about linear functions at brainly.com/question/24808124
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