Answer:
86.6 feet (3 s.f.)
Step-by-step explanation:
Please see attached picture.
tan60°= height of tower/ 50
Height of tower
= 50tan60°
= 50√3
= 86.6 ft (3 s.f.)
tanѲ= opp/ adj
Answer:
b perpendicular
Step-by-step explanation:
all that is needed to do is the Y2 - y1 / X2 - X1 formula and then compare the two slopes making sure they are inverse opposites
Line 1) -7 -8 / -3 -2 X= 3X
Line 2) -3 - 0 / 12 - 3 X = -1 / 3X
Because they are inverse opposites of each other they are perpendicular had they had the exact same slopes they would have been parallels.
Choices "a" and "c" will form triangles
5x + 4x = 720
9x = 720 (divide by 9)
X= 80
In order to get the bigger ratio, which is 5, you would substitute x for 80. (I'm bad at explaining)
Work:
5(80)= 400
Every confidence interval has associated z value. As confidence interval increases so do the z value associated with it.
The confidence interval can be calculated using following formula:

Where

is the mean value, z is the associated z value, s is the standard deviation and n is the number of samples.
We know that standard deviation is simply a square root of variance:

The confidence interval of 95% has associated z value of <span>1.960.
</span>Now we can calculate the confidence interval for our income: