Csc theta=-2 then theta equals csc^-1(-2) then theta would equal 5pi/6, 7pi/6
Answer: d) +/- 2/3
Step-by-step explanation: Since x^2 is a exponent, to cancel it out you would have to square root both sides. Therefore, x is equal to +/- 2/3.
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
Answer:
<u>The correct answer is that AC = 4x - 2 or 2(2x - 1)</u>
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
AD = 6x + 10
CD = 2x + 12
2. Let's find the length of AC
AC = AD - CD
Replacing with the real values:
AC = (6x + 10) - (2x + 12)
AC = 6x + 10 - 2x - 12
AC = 6x - 2x + 10 - 12
<u>AC = 4x -2 or 2(2x - 1)</u>
