We have been given that in a circle an arc length 10 is intercepted by a central angle of 2/3. We are supposed to find the radius of the circle.
We will use arc-length formula to solve our given problem.
, where,
= Arc length,
= Radius,
= Central angle corresponding to arc length.
Upon substituting our given values in arc-length formula, we will get:




Therefore, the radius of the given circle would be 15 units.
Answer:
Step-by-step explanation:
Let's draw the given information first for better understanding . Check the image attached.
We can use cosine rule to find the angles .
for angle A ,



m∠A = 48.35 degrees
Similarly for angle B



m∠B = 94.94 degrees
Now use A+B+C=180 degrees
48.35+94.94+C=180
C=180-48.35-94.94
m∠C = 36.71 degrees
Answer:
16
Step-by-step explanation:
brainliest plss
Answer:
495 combinations of 4 students can be selected.
Step-by-step explanation:
The order of the students in the sample is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

How many combination of random samples of 4 students can be selected?
4 from a set of 12. So

495 combinations of 4 students can be selected.
Answer:
33.6f eet
Step-by-step explanation:
if
2=8 then
8.4x8= 67.2/2= 33.6 feet