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3 years ago

Please help me I will mark BRAINLIEST!!! Find the value of x

Mathematics

1 answer:

Basile [38]3 years ago

6 0

Answer:

x = 2√3 ≈ 3.464

Step-by-step explanation:

The side marked x is opposite the given 30° angle. The side marked 6 is adjacent to that angle. The trig function relating opposite and adjacent sides of a right triangle is ...

Tan = Opposite/Adjacent

Filling in values, we have ...

tan(30°) = x/6

Multiplying by 6 gives ...

x = 6tan(30°) = 6(√3/3)

x = 2√3 ≈ 3.464

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Algebra 2B

mixer [17]

The spread of the disease is an illustration of exponential equations, where the variables are exponents.

<h3>The initial number of people affected</h3>

The function is given as:

$P(t) = \frac{10000}{1 +e^{3-t}}$

At the initial time, the value of t is 0.

So, we have:

$P(0) = \frac{10000}{1 +e^{3-0}}$

$P(0) = \frac{10000}{1 +e^{3}}$

Estimate the quotient

$P(0) = 474$

Hence, the number of people infected initially is 474

<h3>The infected people after three hours</h3>

The function is given as:

$P(t) = \frac{10000}{1 +e^{3-t}}$

After three hours, the value of t is 3.

So, we have:

$P(3) = \frac{10000}{1 +e^{3-3}}$

$P(3) = \frac{10000}{1 +e^0}$

Estimate the quotient

$P(3) = 5000$

Hence, the number of people infected after three hours is 5000

<h3>The maximum number of people infected</h3>

The function is given as:

$P(t) = \frac{10000}{1 +e^{3-t}}$

As t approaches infinity, $e^{3-t}$ approaches 0

So, we have:

$P_{Max} = \frac{10000}{1 +0}$

Estimate the quotient

$P_{Max} = 10000$

Hence, the maximum number of people infected is 10000

<h3 />

The maximum number of people infected is 10000 because the denominator $1 + e^{3-t}$ cannot exceed 1

<h3>Time to warn its spread to over 800 people</h3>

The function is given as:

$P(t) = \frac{10000}{1 +e^{3-t}}$

When if affects 800 people, we have:

$\frac{10000}{1 +e^{3-t}} > 800$

Divide both sides by 10000

$\frac{1}{1 +e^{3-t}} > 0.08$

Take the reciprocal of both sides

$1 +e^{3-t} > 12.5$

Subtract 1 from both sides

$e^{3-t} > 11.5$

Take the natural logarithm of both sides

$3-t > \ln(11.5)$

Solve for t

$t < 3 - \ln(11.5)$

$t < 0.558$

Convert to minutes

$t < 0.558 * 60$

$t < 33.5$

Hence, the stadium should inform the guests before 33.5 minutes

Read more about exponential equations at:

brainly.com/question/11464095

6 0

2 years ago

Amaya is asked to find the side lengths of the triangle<br> shown below. What is her error?

lara31 [8.8K]

Answer:

<em>Her error was that she equated 2x to 6 instead of equating 2x to 3x-5</em>

Step-by-step explanation:

Find the diagram of the question attached.

According to the triangle given, you can see that the base angles are equal. This shows that the triangle is an isosceles triangle. If the base angles are the same, this means that the length of the slant sides are also equal i.e

2x = 3x-5

Get x first;

2x = 3x-5

2x - 3x = -5

-x = -5

x = 5

Get the side length

For side length 2x, the length is 2(5) = 10

For side length 3x-5, the length is 3(5) - 5 = 10.

Hence the length of the sides is 10

<em>Amaya is wrong because she equated the wrong sides. She equated 2x to 6 instead of equating 2x to 3x-5 as shown in the calculation above.</em>