Answer:
Yes
Step-by-step explanation:
Answer:
Is it a multiple choice question
Step-by-step explanation:
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
<h2><em>Width=w
</em></h2><h2><em>Length=l
</em></h2><h2><em>Perimeter=p
</em></h2><h2><em>
</em></h2><h2><em>p=2w+2l
</em></h2><h2><em>l=20+w
</em></h2><h2><em>p=2w+20+w+20+w
</em></h2><h2><em>p=4w+40
</em></h2><h2><em>
</em></h2><h2><em>4w+40=160
</em></h2><h2><em>4w=160-40=120
</em></h2><h2><em>w=120:4=30
</em></h2><h2><em>w=30
</em></h2><h2><em>l=20+w
</em></h2><h2><em>l=20+30=50</em></h2>
Answer/step-by-step explanation:
The graph of f(x) above is said to be the quantity of liquid a cylinder holds when poured into it at a given time, x.
This means the quantity of the liquid poured in the cylinder is a function of time.
f(x) values (quantity of liquid) are plotted on the y-axis, while x values (time) are plotted on the x-axis.
f(3) is the value at the y-axis when x = 3. Thus, when x = 3, y = 6.
Therefore, the value of f(3) = 6
f(3) = 6, represents the quantity of liquid poured in the cylinder at 3 seconds.
