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2 years ago

9

The two triangles shown in the diasram are congruent. Name an isometry that would correct map one of the triangles onto the othe

r.

1 answer:

yuradex [85]2 years ago

4 0

Both sides are equivalent

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A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed

lord [1]

Answer:

Number of books = 4480.

Step-by-step explanation:

Given that fixed cost = $45920

Given that variable cost = $11.25 per book

Let number of books = x

then cost equation is given by 11.25x + 45920

Given that selling price of 1 book = $21.50

then selling price is given by 21.50x

Now we need to find about how many books must the publisher produce and sell so that the production costs will equal the money from sales.

So let's set both equal

21.50x = 11.25x + 45920

21.50x - 11.25x = 45920

10.25x = 45920

x = 45920/10.25

x = 4480

Hence number of books = 4480.

8 0

3 years ago

The population of a town doubled approximately every 5 years during the first several decades after it was founded. If the origi

zzz [600]

Answer:

624 people

(I put two ways to look at the problem.)

Step-by-step explanation:

What is describe here is an exponential function of the form:

$P=P_0 e^{kt}$

$t$ is the number of years after 1761.

$P_0$ is the initial population.

So t=0 represents year 1761.

t=1 represents year 1762

t=2 represents year 1763

....

t=20 represents year 1781.

So we have the doubling time is 5 years. This means the population will be twice what it was in 5 years. Let's plug this into:

$P=P_0e^{kt}$

$2P_0=P_0e^{k\cdot 5}$

Divide both sides by $P_0$ :

$2=e^{5k}$

Convert to logarithm form:

$5k=\ln(2)$

Multiply both sides by 1/5:

$k=\frac{1}{5}\ln(2)$

$k=\ln(2^{\frac{1}{5}})$ By power rule.

So in the next sentence they actually give us the initial population and we just found k so this is our function for P:

$P=39e^{\ln(2^{\frac{1}{5}})t}$

So now we plug in 20 to find how many residents there were in 1761:

$P=39e^{\ln(2^{\frac{1}{5}})(20)}$

This is surely going to the calculator:

$P=624$

Now if you don't like that, let's try this:

Year 0 we have 39 people.

Year 5 we have 39(2)=78 people.

Year 10 we have 78(2)=156 people.

Year 15 we have 156(2)=312 people.

Year 20 we have 312(2)=624 people.

7 0

4 years ago

You are riding on a road at 5mph and your friennd in the same direction at 3mph with a head start of 1/2 mile. how long will it

VashaNatasha [74]

You will catch up in 15 minutes

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4 years ago

Pls Help, Me give Brainliest plllllssssss I offer 56 points ppppppppppppppppplllllllllllllllsssssssssssssssss

timurjin [86]

Answer:

I can't see the map!!!

Step-by-step explanation:

please post again but with less points

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3 years ago

Can someone help fast to find a and c

Kisachek [45]

Answer: 15 10

Step-by-step explanation:

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3 years ago