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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dezoksy [38]

Use the following formula to find the answer to this question:

S * Q + M * Q = P

Representations:

S = The amount of points for short-answer questions.

M = The amount of points for multiple-choice questions.

Q = Number of questions for each of the type of questions that add up to the total number of questions on the test (20 questions).

P = Total points on the test.

Since there is a total of 50 points on the 20 question test, you would need to divide up the amount of questions there are for each of the type there are on the test, short-answer, and multiple-choice.

3 * Q + 1 * Q = P

Now find how many of the type of questions there are out of 20 questions on the test that would add up to the total number of points on the test.

3 * Q + 1 * Q = 50

(15 + 5 = 20 questions on the test, 15 and 5 can be used for the number of questions for each type of question on the test).

3 * 15 + 1 * 5 = 50

45 + 5 = 50

50 = 50

So, your total number of multiple choice questions are: 5.
And, your total number of short answer questions are: 15.

I would go with D. for your answer. I may be wrong.

I hope this helps. 

~ Notorious Sovereign

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3 years ago

Aaron says that all

Softa [21]

Answer:

Step-by-step explanation:

Look at the figure attached below, we know that the area of the cone is the sum of area of circle part and cone part of the figure.

to find the surface area of the cone, first measure the radius of the base and find the area of the circle part by formula $\pi r^2$ . Then measure the side (slant height) length of the cone part and find the area of the cone part by the formula $\pi rl$ .

Now the surface area of the cone is circumference of the circle plus area of the cone part.

i.e. $surface\ Area\ of\ the\ cone=\pi r^{2}+\pi rl$

From the above discussion we concluded that surface area of the cone does not depend only on the circumference of the base but also we need side length of the cone part as well thus all cones with a base circumference of 8 inches will not have the same surface area.