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Artyom0805 [142]
3 years ago
11

If the measurement of a central angle is 5 pie /6 , find the length of its intercepted arc in a circle with a radius of 15 inche

s.
Mathematics
1 answer:
Dahasolnce [82]3 years ago
8 0
The relationship between central angle lengtho of arc and radius is 
L =R x teta, so L= (<span>5 pie /6) x15, L= 75Pi/6 inches</span>
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50 points! I understand A. and B. but I would really appreciate help with C.
FromTheMoon [43]

Answer:

51.72\text{ cells per hour}

Step-by-step explanation:

So, the function, P(t), represents the number of cells after t hours.

This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.

C)

So, we are given that the quadratic curve of the trend is the function:

P(t)=6.10t^2-9.28t+16.43

To find the <em>instanteous</em> rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:

\frac{d}{dt}[P(t)]=\frac{d}{dt}[6.10t^2-9.28t+16.43]

Expand:

P'(t)=\frac{d}{dt}[6.10t^2]+\frac{d}{dt}[-9.28t]+\frac{d}{dt}[16.43]

Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:

P'(t)=6.10\frac{d}{dt}[t^2]-9.28\frac{d}{dt}[t]

Differentiate. Use the power rule:

P'(t)=6.10(2t)-9.28(1)

Simplify:

P'(t)=12.20t-9.28

So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:

P'(5)=12.20(5)-9.28

Multiply:

P'(5)=61-9.28

Subtract:

P'(5)=51.72

This tells us that at <em>exactly</em> t=5, the rate of growth is 51.72 cells per hour.

And we're done!

7 0
3 years ago
0.933333 as a fraction show work
Art [367]

Answer:

84/90

Step-by-step explanation:

Let 0.9333....... be x.

10x = 9.3333....... & 100x = 93.33333.......

So,

=> 100x - 10x = 93.33333...... - 9.333333.....

=> 90x = 84

=> x = 84/90

6 0
3 years ago
Read 2 more answers
I need help man pls​
Tanya [424]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
You purchase a sweater for $70 that was originally priced at $82 what percent was the sale
lisov135 [29]

Answer:

14.7%

Step-by-step explanation:

82/12 = 100/x

x= 14.7

3 0
3 years ago
Given that angleAXB is complementary to both angleCYD and angleFZE, and mangleAXB = 20°, what is mangleCYD + mangleFZE?
EastWind [94]
Complementary angles add up to 90 degrees. We know that AXB is 20 degrees, and AXB is complementary to CYD and FZE. So CYD and FZE are 90-20, so each angle is 70 degrees
CYD = 70 degrees
FZE = 70 degrees
CYD + FZE = 70 + 70 = 140
3 0
3 years ago
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