Answer:
3^(n+1) - 3^n / 3^(n-1) = 6
$1000 dollars is how much you need to pay for the trip.
You already have $350.
$1000 - $350 = $650. So, you need to make $650 more.
$650 <span>÷ 8 = 81.25
So you final answer is: 81.25 hours.
Hope this helped you! :D
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Answer:
angle = 50.8° (to the nearest tenth of a degree)
Step-by-step explanation:
In a right triangle:
- The angle between the shorter leg and the hypotenuse is the larger acute angle of the triangle.
- The angle between the longer leg and the hypotenuse is the smaller acute angle of the triangle.
We have been given the measures of the <u>shorter leg</u> and the <u>hypotenuse</u>, so the angle between them is the <u>larger acute angle</u> (which we need to find).
shorter leg = 3√6 cm
hypotenuse = 3√15 cm
So to find the angle, we need to use the trig ratio: 
If 
is the angle, then the short leg is the "adjacent" side to the angle and the "hypotenuse" is the hypotenuse.
Substituting the given values:
⇒ 
Therefore, the angle = 50.8° (to the nearest tenth of a degree)
Step-by-step explanation:
remember, the sum of all angles in a triangle is always 180°.
and the sum of all angles around one point at one side of a line is also airways 180° (because you can imagine that point to be the center of a circle, and the line would cut that circle in half = 180° for every half).
in the triangle LKM we know 2 angles already :
angle 1 = 44°
angle K = 90° (right angle).
so, angle 2 = 180 - 90 - 44 = 46°
and so, angle 5 = 180 - 46 = 134°.
as the angles around point L on line KL are the angles 2 and 5.
angle 5 = 134°
