Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, and C = {1, 2, 4, 5, 8, 9}. List the element
podryga [215]
Answer:
(a) {6,10}
(b) {1, 3, 5, 6, 7, 9, 10}
(c) ∅
Step-by-step explanation:
Given,
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10},
A = {1, 3, 5, 7, 9},
B = {2, 4, 6, 8, 10},
C = {1, 2, 4, 5, 8, 9},
(a) Since,
,
,
,
(b)
(c)
The smallest amount of points at which they could intersect is 2.
7. general term of gp is given by ar^n-1
hence,4th term is given by
ar^3=15 ------(1)
ar^6=405-----(2)
equation 2/1,we get
r^3=27
so common ratio r=3
putting value of r in equation 1,
we get a=5/9
so gp upto 7 terms will be 5/9,5/3,5,15,45,135,405
8. a=3
given 4th term is -24
so ar^3=-24
substituting value of a we get r^3=-8
r^3= -2^3
so r = -2
using this x2 is ar= 3*-2=-6
x3 is ar^2= 3*4=12
Answer:
a= 4.993
c = 5.824
A= 59°
C = 90°
Step-by-step explanation:
b=3, B=31°
Since it's a right angle.
C = 90°
A = 180-90-31
A= 59°
For side a and c
a/sin A = b /sin B
a = sinA * b/sin B
a= sin 59 * 3/sin31
a= 4.993
a = 5
c/sin C = b/sin B
c = sin C * b/sin B
c = sin90 * 3/sin 31
c = 1* 5.824
c = 5.824
For the answer to the question above, given one side and the angle at each end of it with compass and straightedge or ruler. It works by first copying the line segment<span> to form one side of the triangle, then </span>copy the two angles<span> <span>onto each end of it to complete the triangle</span></span>