Answer: 5 is 2 and 1/2 6 is 2 and 3/4 7 is 3 and 4/5 8 is 10 and 1/2
Step-by-step explanation:
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Answer:
11.8
Step-by-step explanation:
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:
365.9 Inches
Step-by-step explanation:
To find the value of Sin A can be found using the sine rule. the rule states that the ratio of the length facing an angle in a triangle to the sine of the angle is constant. As such,
a/Sin A = b/Sin B = c/Sin C
Where is a is the side facing angle A, b is the side facing angle B and c is the side facing angle C.
Hence,
58/Sin 19 = r/Sin 115
r = 58 Sin 115/ Sin 19
= 365.9 Inches
Since you know it's a square, you also know that all the sides are 3 2/3. So to find area you multiply, so 3 2/3 x 3 2/3. An easy way to do this is convert it to a mixed number (11/3) and then multiply:
11/3 x 11/3 = 121/9
