Answer:
Add -4x to both sides--> 6x+9=4x-3 and 2x+9=-3
multiply both sides by -1/4 --> -4(5x+7)=-18 and 5x-7=4.5
multiply both sides by 1/4--> 12x+4=20x+24 and 3x+1=5x+6
multiply both sides by -4--> -5x/4=4 and 5x=-16
add -4 to both sides--> 8-10x=7+5x and 4-10x=3+5x
Answer:
56
Step-by-step explanation:
171÷3=57
56,57,58
9:6 is the ratio of tickets he has to the tickets he has used.
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:
- The mean length of 10 children's big finger is 8.1 cm
Average length of all the 10 children's finger is (8.1×10) cm = 81 cm.
- The mean length of 11 adult's big finger is 14.1 cm
Average length of all the 11 adult's big finger is (14.1×11) cm =155.1
- Mean length of these 21 people's big finger is
- Hence, <em><u>11.24</u></em> is the right answer.