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2 years ago

Polygon abcd has the following vertics: a( -3, 3) b (5, 5) c (5, -4 ), d (-3 -4). caculate the area of the polygon

Mathematics

1 answer:

Georgia [21]2 years ago

5 0

<h3>Analytic geometry (polygon in the coordinate system).</h3>

Mark the point on the coordinate system and draw the polygon (attachment).

This is the trapezoid.

The formula of an area of a trapezoid:

$A=\dfrac{a+b}{2}\cdot h$

a, b - the lengths of the parallel sides

h - the height

Substitute:

$a=9,\ b=7,\ h=8\\\\A=\dfrac{9+7}{2}\cdot8=\dfrac{16}{2}\cdot8=8\cdot8=64[u^2]$

$\huge\boxed{A=64u^2}$

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How do you solve this equation?

Lerok [7]

Answer:

p = A/(1 +rt)

Step-by-step explanation:

Combine terms using the distributive property, then divide by the coefficient of p.

A = p(1 +rt)

A/(1 +rt) = p

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3 years ago

Traffic flow is traditionally modeled as a Poisson distribution.A traffic engineer monitors the traffic flowing through an inter

babymother [125]

Answer:

There is a 6.07% probability that during next 2 min exactly 5 cars passing an intersection are from state.

Step-by-step explanation:

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

$e = 2.71828$ is the Euler number

$\mu$ is the mean in the given time interval.

In this problem, we have that:

A traffic engineer monitors the traffic flowing through an intersection with an average of 6 cars per minute. So in 2 minutes, 12 cars are expected to flow through the intersection.

If 75% of vehiclesare from state, what is the probability that during next 2 min exactly 5 cars passing an intersection are from state?

We want to know how many of these cars are from state. In 2 minutes, 0.75*12 = 9 cars from the state are expected to pass the intersection, so $\mu = 9$ .

We want to find P(X = 2).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 5) = \frac{e^{-9}*9^{5}}{(5)!} = 0.0607$

There is a 6.07% probability that during next 2 min exactly 5 cars passing an intersection are from state.

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3 years ago

10.5 divided by 8 i need to know

Diano4ka-milaya [45]

10.5 divided by 8 should be 1.3125

6 0

3 years ago

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the length of a sandbox is three feet longer than it’s width. Write the expression that would represent the area of the sandbox.

Rashid [163]

Part A : D.)

Part B : Length of the sandbox is 10 feet.

Step-by-step explanation:

Given,

Perimeter = 29 ft

We need to find the equation for the perimeter and also the length of the sandbox.

Solution,

Let the width of the sandbox be 'w'.

Now as per question said;

The length of the sandbox is 1 foot longer than twice the width of the sandbox.

So we can say that;

Length =

Now we know that the perimeter is equal to the sum of twice of length and width.

framing in equation form, we get;

Perimeter =

we have given the perimeter, so on substituting the value, we get;

Hence The equation used to find the width is .

Now we solve for 'w'.

Applying distributive property, we get;

Subtracting both side by '2' we get

Dividing both side by 6 we get;

Width of the sandbox = 4.5 ft

Length of the sandbox =

Hence Length of the sandbox is 10 feet.

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3 years ago

If i only have 1/3 cups how many 1/3cups do i need to make a cup? answer asap!?

Mrac [35]

Answer:

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3 years ago

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