Answer:
Hope it helps....!!!!!
Step-by-step explanation:
AB = c = 38
BC = a = 29
AC = b
Angle ABC = 63 degrees
Solving for AC "b":
Cosine rule: c^2 = a^2 * b^2 -2ab * cos C
38^2 = 29^2 * b^2 - (2* 29) * b * (cos 38)
1444 = 841 * b^2 - 58 * b * 0.955
(1444 + 58)/0.955 = b^2 * b
1572.77486911 = b^3
11.62935 = b
11.63 = b (rounded to two decimal places)
Now solving for angle A:
Sine rule: a/sinA = b/sinB
29/sinA = 11.63/sin(63)
sinA/29 = sin(63)/11.63
sin A = (sin(63)/11.63) * 29
sin A = 0.41731
A = sin^-1 (0.41731)
A = 24 degrees 39 minutes 53 seconds
Now solving for angle C:
Sine rule: c/sinC = b/sinB
38/sinC = 11.63/sin(63)
sinC/38 = sin(63)/11.63
sin C = (sin(63)/11.63) * 38
sin C = 0.54682
C = sin^-1 (0.54682)
C = 33 degrees 8 minutes 56 seconds
I hope this helps you
2x+4y=10
5x-4y=11
2x+4y+5x-4y=10+11
7x=21
x=3
y=1
Answer:
Step-by-step explanation:
We multiply 4/5 times 3/1 to find how many miles the penguins swam in one hour.
4 x 3/5 x 1
12/5
The penguins swam 12/5, or 2 and 2/5 miles in one hour.
Table:
Miles 4/5 12/5
Hours 1/3 1
Answer:
its B replace the pitcher he has a higher ratio of wins
Step-by-step explanation:
Answer:
153cm²
Step-by-step explanation:
Surface area of prism
= 2(
×6×3) + (6×9) + (9×4) + (9×5)
= 18 + 54 + 36 + 45
= 153cm²
