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yKpoI14uk [10]
4 years ago
5

A theater can seat 864 people. The number of rows is 5 less than the number of seats in each row. How many rows of seats are the

re?
Mathematics
1 answer:
Dafna11 [192]4 years ago
6 0
There should be 27 rows of 32 seats.
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Sine 35 degrees = x / 20

x = sine 35 degrees * 20

x = .57358 * 20

x = 11.4716


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Help me solve this questions with steps please
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Answer:

B

Step-by-step explanation:

Since the triangle is right use the tangent ratio to find x

tan22° = \frac{opposite}{adjacent} = \frac{203}{x}

Multiply both sides by x

x × tan22° = 203 ( divide both sides by tan22° )

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Air pressure may be represented as a function of height (in meters) above the
denis-greek [22]

Answer: OPTION C.

Step-by-step explanation:

<h3> The complete exercise is: "Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below:</h3><h3>  P(h) =P_0e^{-0.00012h} </h3><h3> In this function P_o   is the air pressure at the surface of the earth, and h is the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 50% of the air pressure at the surface of the Earth"</h3><h3></h3>

Given the following function:

P(h) =P_0e^{-0.00012h}

In order to calculate at what  height the air pressure will be equal 50% of the air pressure at the surface of the Earth, you can follow these steps:

1. You need to substitute P(h)=0.5P_o into the function:

0.5P_o=P_0e^{-0.00012h}

2. Finally, you must solve for h.

Remember the following property of logarithms:

ln(b)^a=a*ln(b)\\\\ln(e)=1

Then, you get this result:

0.5P_o=\frac{P_o}{e^{0.00012h}}\\\\(0.5P_o)(e^{0.00012h})=P_o\\\\e^{0.00012h}=\frac{P_o}{0.5P_o}\\\\ln(e)^{0.00012h}=ln(2)\\\\0.00012h*1=ln(2)\\\\h=\frac{ln(2)}{0.00012}\\\\h=5576.2

7 0
3 years ago
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