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Marrrta [24]
3 years ago
11

I NEED HELP PLEASE, THANKS!!!

Mathematics
1 answer:
denpristay [2]3 years ago
3 0

Answer:

C. 105 mm^2

Step-by-step explanation:

<em><u>The formula for a regular polygon is:</u></em>

<em><u /></em>\frac{1}{2}pa   → p is the perimeter and a is the apothem

\frac{1}{2} (42)(5)

105

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HELPPPP 100 points if you help!!!!
nignag [31]

Answer:

Part A)

Chorus:

c(t)=15(1.12)^t

Band:

b(t)=2t+30

Part B)

After 9 years:

The chorus will have about 41 people.

And the band will have 48 people.

Part C)

About approximately 11 years.

Step-by-step explanation:

We are given that there are 15 people in the chorus. Each year, number of people in the chorus increases by 12%. So, the chorus increases exponentially.

There are 30 people in the band. Each year, 2 new people join the band. So, the band increases linearly.

Part A)

Since after each year, the number of people in the chorus increases by 12%, the new population will be 112% or 1.12 of the previous population.

So, using the standard form for exponential growth:

c(t)=a(r)^t

Where <em>a</em> is the initial population and <em>r</em> is the rate of change.

We will substitute 15 for <em>a </em>and 1.12 for <em>r</em>. Hence:

c(t)=15(1.12)^t

This represents the number of people in the chorus after <em>t</em> years.

We are given that 2 new people join the band each year. So, it increases linearly.

Since there are already 30 people in the band, our initial point or y-intercept is 30.

And since 2 new people join every year, our slope is 2. Then by the slope-intercept form:

b(t)=mt+b

And by substitution:

b(t)=2t+30

This represents the number of people in the band after <em>t</em> years.

Part B)

We want to find the number of people in the chorus and the band after 9 years.

Using the chorus function, we see that:

c(9)=15(1.12)^9\approx41.59\approx41

There will be approximately 41 people in the chorus after 9 years.

And using the band function, we see that:

b(9)=2(9)+30=48

There will be 48 people in the band after 9 years.

Part C)

We want to determine after approximately how many years will the number of people in the chorus and band be equivalent. Hence, we will set the two functions equal to each other and solve for <em>t</em>. So:

15(1.12)^t=2t+30

Unfortunately, it is impossible to solve for <em>t</em> using normal analytic methods. Hence, we can graph them. Recall that graphically, our equation is the same as saying at what point will our two functions intersect.

Referring to the graph below, we can see that the point of intersection is at approximately (10.95, 51.91).

Hence, after approximately 11 years, both the chorus and the band will have approximately 52 people.

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Amir can run 15 kilometers in one hour. how many kilometers can amir run per minute? there are 60 minutes in 1 hour.
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Amir can run 0.25 kilometers per minute.
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Answer:

165 degrees Celsius

Step-by-step explanation:

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AB is perpendicular to CD. If the slope of AB is 2/5, what is the slope of CD?​
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Given a slope m, the slope m' of a line perpendicular to m is the opposite of the inverse of m

In other words:

mm' = -1 \iff m' = -\dfrac{1}{m}

So, the slope of CD is -5/2.

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Function test(name, birth_year, current_year) {
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I don't inform my personal information to anyone

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