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VikaD [51]
4 years ago
14

Derive an equation d = acos(bt) for the displacement d (in feet) in relation to sea level of a piece of cloth tied to a water wh

eel over t seconds. Assume the water wheel is half-submerged and takes 24 seconds to complete one turn. At t = 0 seconds, the cloth is at a height of 10 feet above sea level, its maximum displacement from the surface of the water.
Find the values of a and b.
Mathematics
1 answer:
Alisiya [41]4 years ago
4 0

Answer:

hjjhbvbyj

Step-by-step explanation:

a=10

b=pi/12

d=10cos(pi/12t)

t=6

d=5

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dsp73
6+(4/5)

=(30/5)+(4/5)

=34/5
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3 years ago
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Find m∠DEC (the picture is not drawn to scale).
pochemuha

Answer:

M∠DEC equals 123º.

Step-by-step explanation:

The sum of a triangle's three angles always equal 180º. The exterior angle, x, equals the two non-adjacent interior angles.

180 - {(x - 45)+(x - 12)} = m∠DEC

m∠DEC + x = 180

<u>(x - 45) + (x - 12) = x</u>

Solving for x:

(x - 45) + (x - 12) = x

x - 45 + x - 12 = x                             Remove parenthesis

2x - 57 = x                                       Combine like terms

2x = x + 57                                      Add 57 to both sides

<u>x = 57</u><u>                                             Subtract x from both sides</u>

Finding m∠D:

x - 45 = ?

<u>57 - 45 = </u><u>12º                                          </u>

Finding m∠C:

x - 12 = ?

<u>57 - 12 = </u><u>45º                                           </u>

<em>** </em><em>(Checking x: 12 + 45 = 57) </em><em>**</em>

<em>Finding </em>m∠DEC:

AC is a straight line, and because straight lines are equivalent to 180º, we subtract 57 from 180:

180 - 57 = 123º

Hope this helps,

❤<em>A.W.E.</em><u><em>S.W.A.N.</em></u>❤

8 0
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Answer:

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Step-by-step explanation:

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Need help asap!!!!!!!
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Answer:

Multiplication

Step-by-step explanation:


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