I NEED HELP ASAP PLEASE!!!!!!!

Convert <br> 32 ½ meters to feet

Olin [163]

Answer: 32 1/2 meters = 106.63 ft

Step-by-step explanation: 1 meter is 3 ft and 3.37 inches, or 39.37 inches :)

5 0

2 years ago

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Find the height of the triangle

Paul [167]

There are two -main- approaches to answer this problem. By using the sine identity, or applying law of sines.

We'll do the sine trig. identity, as it is the most effective.

Given an angle ' $\alpha$ ' in a right triangle, ' $sin( \alpha )$ ' is defined as the opposite side of the triangle to the given angle, over the triangle's hypotenuse.

So, for this setup:
$sin(20)= \frac{x}{10}$

Now, we solve for x:
$x=10sin(20)=3.42$

So, answer is 3.4

7 0

2 years ago

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The population of a particular type of bacteria is known to triple in 22 days. What is the daily growth rate

Paul [167]

Answer: ∛(3)

Step-by-step explanation:

Suppose that at day 0 the population was A.

at day 3, the population will be: 3*A

at day 6, the population will be 3*(3*A) = A*3^2

then, at day N = 3*n (where n = 0, 1, 2.....) the population will be:

P(N) = A*3^n

Particularly, if we take n = 1/3 we will have:

N = 3*1/3 = 1

This means that this is the first day after the day 0.

P(1) = A*3^(1/3)

(then in day one, the population grow by a factor of 3^(1/3))

N = 2 is when n = 2/3, then:

P(2) = A*3^(2/3)

The quotient between P(2) and P(1) is equal to the growth between day one and day two, this should be the same as the growth between day zero and day one.

A*3^(2/3)/(A*3^(1/3)) = 3^( 2/3 - 1/3) = 3^(1/3)

So we found that the daily growth rate is 3^(1/3) or ∛(3)

3 0

2 years ago

A restaurant advertises their lunch menu has 200 different combinations if you choose a soup, salad, and sandwich. There are 5 s

BARSIC [14]

Let me see if 57.3 is correct I’m not sure tho does it give you options?

7 0

2 years ago

Calculate the difference in the proportion of males and the proportion of females that smoke. Give your answer to 2 decimal plac

Xelga [282]

The difference in the proportion of males and the proportion of females that smoke is 0.08

<h3>Missing information </h3>

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

<h3>How to determine the proportion difference?</h3>

The given parameters are:

Male Female

Sample 61 48

Smokers 15 8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08