9514 1404 393
Answer:
45, 56, 67
Step-by-step explanation:
Terms of an arithmetic sequence have a common difference. That is, the next term is found by adding that difference to the previous term.
Here, the difference is 12 -1 = 11, so each term is 11 more that the previous one. The next terms are found by repeatedly adding 11.
34 + 11 = 45
45 + 11 = 56
56 + 11 = 67
The next three terms are 45, 56, 67.
Answer:
7n-2
Step-by-step explanation:
hope I helped
Answer:
K would be -6 and w would be 9
Answer:
<B = 47°
<C = 28°
b = AC = 28.0
Step-by-step explanation:
Given:
∆ABC
AB = c = 18
BC = a = 37
<A = 105°
Required:
Length of AC = b
measure of angle B and angle C
SOLUTION:
==>Use the sine rule, sin A/a = sinC/c to find the angle of C:
SinA = sin(105) = 0.9659
a = 37
sinC = ?
c = 18
0.9659/37 = sinC/18
Cross multiply
0.9659*18 = 37*sinC
17.3862 = 37*sinC
Divide both sides by 37
17.3862/37 = sinC
0.4699 = sinC
sinC = 0.4699
C = Sin-¹(0.4699)
C = 28.0° (nearest tenth)
==>Find angle B using sum of angles in a triangle:
Angle B = 180 - (105+28)
Angle B = 180 - 133
Angle B = 47°
==>Find length of b using sine rule, b/sinB = c/sinC:
SinC = sin(28) = 0.4695
SinB = sin(47) = 0.7314
c = 18
b = ?
b/0.7314 = 18/0.4695
Cross multiply
b*0.4695 = 18*0.7314
b*0.4695 = 13.1652
Divide both sides by 0.4695
b = 13.1652/0.4695
b = 28.0 (nearest tenth)
Answer:
x is less then or equal to -3
x<-3 (the < has to have a line underneath)
Step-by-step explanation:
