Answer:
a. 80.83 ft b. 40.42 ft
Step-by-step explanation:
Let h = height of pole = 70 ft, L = length of cable and x = distance of cable on ground to pole and Ф = angle between cable and ground.
a) How long is the cable?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and L being the hypotenuse side, by trigonometric ratios,
sinФ = h/L
L = h/sinФ
L = 70 ft/sin60°
L = 70 ft/0.8660
L = 80.83 ft
b) How far from the pole should the cable be attached to the ground?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and x being the adjacent side, by trigonometric ratios,
tanФ = h/x
x = h/tanФ
x = 70 ft/tan60°
x = 70 ft/1.7321
x = 40.42 ft
600x1000 is how you would convert it
Answer:
Step-by-step explanation:
x + 4 = 2x + 1
-x -x
4 = 1x + 1
-1 -1
3 = 1x
-- --
1 1
3 = x
Check:
3 + 4 = 2(3) + 1
7 = 6 + 1
7 = 7
Answer:
20 students
Step-by-step explanation:
Sample is basically a selected subset of a population. A researcher is investigating the effect of sugary cereal on the aggression of second graders during morning play period. For this purpose, a researcher selected 20 student and feed them a sugary cereal and then observe their behaviors. Here, 20 student are selected from the all second grader students. So, the sample in the conducted study are 20 students.
Answer:
and 
Step-by-step explanation:
The asymptote equation of a translate hyperbola with equation 
is 
The given hyperbola has equation: 
Or 
Comparing to 
We have a=6 and b=8, h=1 and k=2.
We substitute this values to get:
We split the plus or minus sign to get:
Or
