A rope, attached to a weight, goes up through a pulley at the ceiling and back down to a worker. The worker holds the rope at th
e same height as the connection point between the rope and weight. The distance from the connection point to the ceiling is 40 ft. Suppose the worker stands directly next to the weight (i.e., a total rope length of 80 ft) and begins to walk away at a constant rate of 2 ft/s. How fast is the weight rising when the worker has walked: 10 feet? Answer = 30 feet? Answer =
1 answer:
Answer:0.246ft/s
Step-by-step explanation: when the the worker starts moving and stops 10 feets away from lateral rope connecting the load, it forms a right angle triangle as see in the pix.
V = s/t ... equ 1
S= distance traveled by worker while pulling the rope = 10 ft
V = velocity of worker = 2ft/s
T = time taken the worker to move 10 ft = time taken for the load to move up = 5seconds
Use Pythagoras theorem to determine distance from pulley to new position of worker
Square root of (40^2 + 10^2) = 41.23ft
Distance traveled by load = D = 41.23 - 40
=1.23ft
Speed of load = D/ t...equ2
Substituting D and the into equ2
S.l = speed of load = 1.23/5 =0.246ft/s
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Question:
Use the expression to complete the statements.
________ is the power .
(0.5) is the ________
A ______ is another way to write
Answer:
0.5 is the base
10 is the power
-- another way to write
Step-by-step explanation:
Given
Required
Fill ion the gaps
is pronounced as; 0.5 raise to the power of 10
From the above statement, we can deduce the following:
0.5 is the base
10 is the power
Lastly, another way to write
Express 0.5 as a fraction
Simplify the fraction
Hence:
<u>Given</u>:
The base of each triangular base is 42 m.
The height of each triangular base is 20 m.
The sides of the triangle are 29 m each.
The height of the triangular prism is 16 m.
We need to determine the surface area of the triangular prism.
<u>Surface area of the triangular prism:</u>
The surface area of the triangular prism can be determined using the formula,
where b is the base of the triangle,
h is the height of the triangle,
s₁, s₂ and s₃ are sides of the triangle and
H is the height of the prism.
Substituting the values, we get;
Thus, the surface area of the triangular prism is 2440 m²