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valkas [14]
3 years ago
15

How can you determine if two triangles are congruent when you are given the coordinates of the vertices ?

Mathematics
2 answers:
ivolga24 [154]3 years ago
5 0

I would plot the points and then see from there

tino4ka555 [31]3 years ago
4 0

plot the points then work foward from there , also can you give me the brainliest answer then rate/thanks <3

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According to police sources, a car with a certain protection system will be recovered 87% of the time. Find the probability that
WITCHER [35]

Answer: 0.01145

Step-by-step explanation:

We use Binomial distribution , where the probability of getting x successes in n trial is given by :-

P(x)=^nC_xp^x(1-p)^{n-x} , p = probability of getting each success in each trial.

As per given

The proportion that a car with a certain protection system will be recovered= p=0.87

n= 8

Let x be the number of cars will be recovered.

Then, the probability that 4 of 8 stolen cars will be recovered:

P(X=4)=^8C_4(0.87)^4(1-0.87)^{8-4}

=\dfrac{8!}{4!(8-4)!}(0.87)^4(0.13)^4\\\\= 70(0.57289761)(0.00028561)\\\\=0.0114537700474\approx0.01145

Hence, the required probability is 0.01145.

5 0
3 years ago
5.- En una canasta hay 60 duraznos. Evelyn los va
maksim [4K]

Answer: Quedarían nueve

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
I know it's late but im having trouble in math.I need an exper to help for BRAINLEST and extra points​
frez [133]

Answer:

B'(- 2, 2 )

Step-by-step explanation:

Given the translation rule (x, y ) → (x + 3, y - 2 )

This means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, that is

B(- 5, 4 ) → B'(- 5 + 3, 4 - 2 ) → B'(- 2, 2 )

8 0
3 years ago
The Department of Agriculture is monitoring the spread of mice by placing 100 mice at the start of the project. The population,
uranmaximum [27]

Answer:

Step-by-step explanation:

Assuming that the differential equation is

\frac{dP}{dt} = 0.04P\left(1-\frac{P}{500}\right).

We need to solve it and obtain an expression for P(t) in order to complete the exercise.

First of all, this is an example of the logistic equation, which has the general form

\frac{dP}{dt} = kP\left(1-\frac{P}{K}\right).

In order to make the calculation easier we are going to solve the general equation, and later substitute the values of the constants, notice that k=0.04 and K=500 and the initial condition P(0)=100.

Notice that this equation is separable, then

\frac{dP}{P(1-P/K)} = kdt.

Now, intagrating in both sides of the equation

\int\frac{dP}{P(1-P/K)} = \int kdt = kt +C.

In order to calculate the integral in the left hand side we make a partial fraction decomposition:

\frac{1}{P(1-P/K)} = \frac{1}{P} - \frac{1}{K-P}.

So,

\int\frac{dP}{P(1-P/K)} = \ln|P| - \ln|K-P| = \ln\left| \frac{P}{K-P} \right| = -\ln\left| \frac{K-P}{P} \right|.

We have obtained that:

-\ln\left| \frac{K-P}{P}\right| = kt +C

which is equivalent to

\ln\left| \frac{K-P}{P}\right|= -kt -C

Taking exponentials in both hands:

\left| \frac{K-P}{P}\right| = e^{-kt -C}

Hence,

\frac{K-P(t)}{P(t)} = Ae^{-kt}.

The next step is to substitute the given values in the statement of the problem:

\frac{500-P(t)}{P(t)} = Ae^{-0.04t}.

We calculate the value of A using the initial condition P(0)=100, substituting t=0:

\frac{500-100}{100} = A} and A=4.

So,

\frac{500-P(t)}{P(t)} = 4e^{-0.04t}.

Finally, as we want the value of t such that P(t)=200, we substitute this last value into the above equation. Thus,

\frac{500-200}{200} = 4e^{-0.04t}.

This is equivalent to \frac{3}{8} = e^{-0.04t}. Taking logarithms we get \ln\frac{3}{8} = -0.04t. Then,

t = \frac{\ln\frac{3}{8}}{-0.04} \approx 24.520731325.

So, the population of rats will be 200 after 25 months.

6 0
3 years ago
Please help, will mark brainliest!
sashaice [31]
The second option , s = 74 - 33
6 0
2 years ago
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