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3 years ago

What is the length of the altitude of the equilateral triangle below?

Mathematics

1 answer:

balandron [24]3 years ago

3 0

$\bf \textit{height or altitude of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2}~~ \begin{cases} s=\stackrel{length~of}{a~side}\\ \cline{1-1} s=8\sqrt{3} \end{cases}\implies h=\cfrac{8\sqrt{3}\cdot \sqrt{3}}{2}\implies h=\cfrac{8\sqrt{3^2}}{2} \\\\\\ h=4\cdot 3\implies h=12$

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Round up 77,690 to the hundred place

Soloha48 [4]

Answer:

77,700

Step-by-step explanation:

look at 690. since the nine is greater than 5 round to 700

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3 years ago

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When graphing a linear inequality in two variables, explain how to determine which side of the boundary line to shade. Please he

Murrr4er [49]

$\ \textgreater \$ means you shade the part above the line, and $\ \textless \$ means you shade the part under the line.

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4 years ago

The length of triangle base is 26. A line, which is parallel to the base divides the triangle into two equal area parts. Find th

Yanka [14]

Answer:

Step-by-step explanation:

It is given that the length of triangle base is 26, then let ABC be the triangle and BC be the base of the triangle=26.Let DE be the parallel line to the base that divides triangle ABC into two equal area parts.

Now, Let AD=a, DB=b, DE=c, AE=d and EC=e, then

Since, triangle ABC is similar to triangle ADE, thus using basic proportions, we get

$\frac{AD}{AB}=\frac{DE}{BC}=\frac{AE}{AC}$

$\frac{AD}{AD+DB}=\frac{DE}{BC}=\frac{AE}{AE+EC}$

$\frac{a}{a+b}=\frac{c}{26}=\frac{d}{d+e}$

Taking the first two equalities,we get

$\frac{a}{a+b}=\frac{c}{26}$

$c=\frac{26a}{a+b}$

Thus, the length of the segment between triangle legs is $\frac{26a}{a+b}$

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4 years ago

In a translation, what math process is used?

forsale [732]

Addition/ subtraction

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3 years ago

PLEASE HELP!!!!

Black_prince [1.1K]

Answer:

The probability that you would choose a green candy: $\frac{45}{139}$ or approximately 32%.

Step-by-step explanation:

The general form of probability can be calculated as the following fraction:

$\frac{number of desired outcomes}{total number of outcomes}$

First, to find the total number of outcomes, you need to add all of the candies together: 42 + 45 + 20 + 32 = 139, so there are 139 total outcomes. Since there are a total of 45 green candies, the probability of choosing green from the total can be written as:

$\frac{45}{139}$

Dividing the numerator by the denominator and multiplying by 100 gives us the percentage of approximately 32%.

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3 years ago