Hi there!
**Recall that tangent is Opposite / Adjacent**
tan (5π / 6) according to the unit circle equals -1 / √3. We can go through each choice and eliminate:
- tan (-5π / 6) is in the third quadrant which would mean that the value would be positive 1 / √3. This choice is incorrect.
- tan (7π / 6) is the same as tan (-5π / 6), which is positive 1 / √3. This choice is incorrect.
- cot (5π / 6) is the reciprocal of tan 5π / 6, which is incorrect.
- tan (-π / 6) is equal to -1 / √3. This choice is correct.
Therefore, the correct choice is tan (-π / 6).
Answer:
The interquartile range is 12.
Step-by-step explanation:
In a box-and-whisker plot, the left edge of the box is the lower quartile and the right edge of the box is the upper quartile. The line dividing the box is the median. The end of the left whisker shows the minimum value. The end of the right whisker shows the maximum value.
In your question, the lower quartile is 29, the upper quartile is 41, while the median is 32. The minimum value is 10 and the maximum value is 51.
The formula for the interquartile range is as follows:
Interquartile Range = Upper quartile - Lower quartile
In this question, interquartile range = 41 - 29 which equals 12. Hence, the answer is 12.
I got y = 2x + 12 because the question is only looking for the cost of Fitness Fest, not Gerry’s Gym.
Given:
Diameter if the spherical tank = 20 ft.
Now,
We know,
radius = diameter / 2
= 20 / 2
= 10 ft.
Now,
The area of the spherical tank =
=
=
=
=
Now,
According to the question,
400 ft² needs 1 gallon of paint
1 ft² needs (1 / 400) gallon of paint
1256.64 ft² needs (1 / 400) * 1256.64 gallon of paint
= 3.1416 gallon of paint
=
3.14 gallon of paint --------------> rounded
So, we need 3.14 gallon of paint
Answer:
x-36=214
Step-by-step explanation:
If you already have the elevation of the bottom floor, you need to figure out how to get the top floor's elevation by taking 124 and 36 and adding them together. You will get 160. Then, take 160 and plug it in for x, leaving you with x-36=124 or 160-36=124. Hope this helps.
