Answer:
Step-by-step explanation:
Given that two tangents to a circle intersect at a point B outside the circle
A and C are points of contact.
By theorem on circles we have angle ABC is equal to 1/2 the difference of intercepted arcs.
Angle of minor arc =110 and hence major arc
Difference =
Measure of angle ABC 1/2 of 140 = 70 degrees.
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Step-by-step explanation:
Answer:
512
Step-by-step explanation:
Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7
.
For instance, if I divide the set into parts {1,2,4}
and {3,5}, the first part adds up to 7, and its complement adds up to 8
.
Once one makes that observation, the rest of the proof is straightforward. There are 25=32
different subsets of this set (including itself and the empty set). For each one, either its sum, or its complement's sum (but not both), must be ≥8. Since exactly half of the subsets have sum ≥8, the number of such subsets is 32/2, or 16.
Answer:
C
Step-by-step explanation:
=1/7 X 100
=14.3
I hope this helps a bit
2^9 - 2^4 = 496
when you multiply exponents, you just add the two (4 and 5) and keep the coefficient the same.
when you multiply by an exponent (^2), you multiple the exponents and keep the coefficient the same.
circumference= 2(pi)r OR (pi)d
d is diameter and r is radius
if the circumference is given, then you would have to work backwards.
in this case, Circumference = 78.5 ft
the equal you would use for the radius would be 78.5 = 2 x 3.14(pi) x r
- multiply 2 x 3.14 and get 6.28
- divide 6.28 on both sides to get ‘r’ by itself
- 12.5 = r
next, for the diameter you can use C= (pi) x d
- 78.5 = 3.14 x D
- divide 3.14 on both sides to get ‘d’ by itself
- 25 = d
hope this helps! make brainliest please
