Answer:
4.5 m
Step-by-step explanation:
Distance from center to the the bottom part where headroom begins is 3.9 m-2.6 m=1.3 m
Since the radius is 2.6 m and acts as hypotenuse(see attached image), then the other length will be
![\sqrt {2.6^{2}-1.3^{2}=5.07}=2.25166605 ](https://tex.z-dn.net/?f=%5Csqrt%20%7B2.6%5E%7B2%7D-1.3%5E%7B2%7D%3D5.07%7D%3D2.25166605%0A)
Approximately 2.25 m
The half width is 2.25 m hence full width will be 2.25*2=4.5 m
ANSWER
![-\sqrt{3}](https://tex.z-dn.net/?f=%20-%5Csqrt%7B3%7D)
EXPLANATION
The given angle is 870°.
870°-360°-360°=150°
This means that:
870° is coterminal with 150°, hence its terminal side is in the second quadrant.
It makes an acute angle of 30° with the x-axis.
Note that cotangent is negative in the second quadrant,
Hence,
![\cot(870 \degree) = \cot(150 \degree) = - \cot(30 \degree) = - \frac{1}{ \tan(30 \degree) } = - \sqrt{3}](https://tex.z-dn.net/?f=%20%5Ccot%28870%20%5Cdegree%29%20%20%3D%20%20%5Ccot%28150%20%5Cdegree%29%20%20%3D%20%20-%20%20%5Ccot%2830%20%5Cdegree%29%20%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B%20%5Ctan%2830%20%5Cdegree%29%20%7D%20%20%3D%20%20-%20%5Csqrt%7B3%7D%20)
The first option is correct.
Answer:
65.3658 inches
Step-by-step explanation:
Let X be the height of a woman randomly choosen. We know tha X have a mean of 63.6 inches and a standard deviation of 2.5 inches. For an x value, the related z-score is given by z = (x-63.6)/2.5. We are looking for a value
such that
, but,
, i.e.,
is the 76th percentile of the standard normal distribution. So,
,
. Therefore, the height of a woman who is at the 76th percentile is 65.3658 inches.
Answer:
8
Step-by-step explanation:
Answer:
(-3, 5) is C
(0,-2) is D
(-2, -2) is E
Step-by-step explanation: