Answer:
-3 + 9i
Step-by-step explanation:
The conjugate of -3i is - 3 - i.
(- 3 i) × (- 3 - i)
Multiply both terms.
-3 + 9i
'A' is the square root of 25. That's 5, so take A=5 with you
as you go to the next step.
B is A³. A³ means (A x A x A). We know that 'A' is 5, so 'B' is (5x 5 x 5) = 125 .
Take B=125 with you to the next step.
'C' is B - 25. We know that 'B' is 125. So C = (125 - 25) = 100 .
Take C=100 with you to the next step.
'D' is the square root of 'C'. We know that C=100, so D = √100 .
The square root of 100 is 10, so D=10.
Take D=10 with you to the next step .
'E' is D+39. We know that D=10. So E=(10+39) = 49 .
Take E=49 with you to the last step.
'F' is the square root of 'E'. We know that E=49.
Answer:
36 minutes
Step-by-step explanation:
The key is to get the same amount of time for each.
9 * 12 = 108
At 12 minutes per job,
in 108 minutes Alyssa could do
108/12 = 9 jobs
At 9 minutes per job,
Together in 108 minutes they could do
108/9 = 12 jobs
--------------------------
In 108 minutes Mirada does
12 - 9 = 3 jobs
108/3 = 36 minutes per job
Answer:
7.2 m²
Step-by-step explanation:
Use the appropriate area formula, fill in the given values, and do the arithmetic.
A = (1/2)ab·sin(C)
where "a" and "b" represent triangle side lengths and C is the angle between them.
A = (1/2)(4 m)(8.5 m)sin(25°) ≈ 7.2 m²
