Answer:
37.8579
This value is approximate and rounded to four decimal places
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Explanation:
The tangent function is being applied to some unknown angle x. To isolate x, we undo whatever tangent is doing. So we apply the inverse function. Specifically the inverse tangent function. This is also known as "arctangent" and your calculator most likely shows it as a button with a "-1" exponent above the "tan"
So apply the arctangent to both sides to get
tan(x) = 0.7773
arctan(tan(x)) = arctan(0.7773)
x = 37.8579
Answer:
B and E
Step-by-step explanation:
To verify which are solutions, substitute the given values into the left side of the equation and if equal to the right side then they are solutions.
A
2(20)² + 18(20) = 800 + 360 = 1160 ≠ 20 ← not a solution
B
2(1)² + 18(1) = 2 + 18 = 20 ← solution
C
2(- 2)² + 18(- 2) = 2(4) - 36 = 8 - 36 = - 28 ≠ 20 ← not a solution
D
Is a repeat of C
E
2(- 10)² + 18(- 10) = 2(100) - 180 = 200 - 180 = 20 ← solution
F
2(- 1)² + 18(- 1) = 2(1) - 18 = 2 - 18 = - 16 ≈ 20 ← not a solution
Then B and E are solutions to the equation
Answer: 1: 7 | 2: 2 | 3: 729 | 4: 2 | 5: 100 | 6: about 140
Hope this helps :)
Step-by-step explanation:
Answer:
Percent
Step-by-step explanation:
the amount of decrease divided by the original amount times 100 equals <u><em>percent of decrease</em></u>
The two planes are flying in opposite directions.One plane travels at 560miles per hour and the other travels at a speed of 500 miles per hour. As time proceeds, they would travel further from each other and that can be described by the equation that follows:
560(t)+500(t) =2000, since we are given a 2000 distance limit. Then we are to find the time when they are at this distance. Solve for t, which is equal to 0.53 hours or 32 minutes.