The geometric sequence is starting with 2 and multiplying by 3 every time. We can get the rule of this sequence by...
If 2 is a_0, 6 is a_1, 18 is a_2, etc.
a_n=2*3^n
For the 14th term, which is a_13, the value is 2*3^13.
Using a calculator because I'm too lazy to calculate 3^13 sorry, we can get.
3188646
The third is because the prove is x = fifteen and if a number is next to a letter, it means multiply, sorry I could only do one.
No they are not equivalent
Make a ratio:
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Make sure shadow is in same location on both fractions (either numerator or denominator) </span>
x/90=5/8
Cross multiply:
8x=90x5
8x=450
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x=56.25 feet </span>
Therefore, the approximate height of the building to the nearest foot would be 56.25 feet.
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That makes sense, too, because the woman's shadow is taller than she is, but is less than double her height. </span>The building shadow is taller than the building, but it's less than double the height of the building.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
Answer: -1
Step-by-step explanation:
You want to find an angle that is coterminal to 495. So, subtract 360 degrees until youre in the range of 0-360. I got 495 - 360 = 135°
Tangent is equal to 
, we already solved theta which was 135°
This next part is hard to explain to someone who doesnt know their trig circle, idk if you do. The angle 135 is apart of the pi/4 gang. So we know this is going to be some variant of √2/2. Sine of quadrant 1 and 2 is gonna be positive:
Now lets do cosine of 135°, which again is apart of the pi/4 gang because its divisible by 45°. Its in quadrant 2 so the cosine will be negative.
The final step is to divide them. They are both fractions so you should multiply by the reciprocal.
