Answer:
Suppose U={1,2,3,4,5,6,7,8,9,10} is the universal set and M={7,8,9,10}. What is M'?
A. {1,2,3,4,5,6}
B. {1,2,3,4,5,6,7,8,9,10}
C. cannot be determined
D. {7,8,9,10}
My answer is D.
Step-by-step explanation:
M' means the complement of M.
M' will encompass all the elements in the universal set but NOT in the set M.
Answer:
Step-by-step explanation:
(21²+10²)½ = 23.25= 23.3
Answer:
At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is 53°. Find the height of the tree to the nearest foot.
I got 50xtan53 = 66.35 nearest foot ? would I use tan or sin since I'm finding the foot of the tree
Step-by-step explanation:
.
sinA+sinB+sinC
=2sin(A+B)/2cos(A-B)/2+sin C
=2sin(pi-C)/2cos(A-B)/2+2sin C/2cosC/2
=2cosC/2(cos(A-B)/2+cos(A+B)/2)
=4 cos A/2 cos B/2 cos C/2
= RHS
Answer:
, 
, and 
.
Step-by-step explanation:
What is a rational number? By definition, a rational number can be represented as the fraction of two integers.
The goal is to find three fractions in the form 
between 
and 
.
.
At this moment, there doesn't seems to be a number that could fit. The question is asking for three of these numbers. Multiple the numerator and the denominator by a number greater than three (e.g., five) to obtain
.
Since 
and 
can be any integers, let 
.
.
.
Possible values of are 26, 27, and 28. That corresponds to the fractions
, , and .
These are all rational numbers for they are fractions of integers.
