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3 years ago

What is the area of the triangle?

Mathematics

1 answer:

Drupady [299]3 years ago

6 0

$A=b*h \\\\ 8\frac{1}{3}ft\to \frac{25}{3}ft \\\\ 14\frac{1}{4}ft\to\frac{57}{4}ft \\\\\\\ A=\frac{25}{3}ft*\frac{57}{4}ft \\\\ A= \frac{25}{1}ft*\frac{19}{4}ft \\\\ A=\frac{475}{4}ft^2 \\\\ \boxed{A=118\frac{3}{4}ft \to \ variant\ D}$

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The distribution of the average amount of sleep per night gotten by college students is roughly bell-shaped with mean 412 minute

kirza4 [7]

Answer:

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Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

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Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

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3 years ago

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lukranit [14]

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Step-by-step explanation:

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3 years ago

A cereal comes in three different package size what is the ratio of the cost of an 8 ounce box to a 16 ounce box of cereal

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3 years ago

In ABC, A = 4x, B = 3x + 1, C = 7x + 11. List the sides of ABC in order from shortest to longest.

BlackZzzverrR [31]

Sum of all angles of a triangle is equal to 180°. Therefore,

A + B + C = 180

Given that, A = 4x, B = 3x + 1, C = 7x + 11.

Hence, we can set up an equation as following:

4x + 3x + 1 + 7x + 11 = 180

14x + 12 = 180 Combine the like terms.

14x + 12 -12 = 180 - 12 Subtract 12 from each sides.

14x = 168

$\frac{14x}{14} =\frac{168}{14}$ Divide each sides by 14.

So, x= 12.

Now by plug in x=12 in the given expressions of A, B and C we can get the measure of eah angles of the triangle. Therefore,

A = 4x = 4(12) = 48

B= 3x + 1= 3(12) + 1 = 36 + 1 = 37

C= 7x + 11 = 7(12) + 11 = 84 + 11 =95

From the above result we can see that C is the largest angle and B is the smallest angle.

There is a relationship of a triangle which state that the largest side is opposite side of the largest angle and similarly smallest side is opposite side of the smallest angle.

Here AB is the opposite side of the largest angle C. So, AB is the largest side.

Similarly AC is the smallest side.

So, the order from shortest to longest is B: AC, BC, AB

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