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guajiro [1.7K]
3 years ago
10

What is the area of the equilateral triangle with the length of each side equal to a?

Mathematics
2 answers:
Blizzard [7]3 years ago
6 0

Answer:

(C)

Step-by-step explanation:

From the given figure, it can be seen that the all the sides of the triangle are equal and are equal to a.

Now, area of the equilateral triangle is given as:

A=\frac{\sqrt{3}}{4}a^2

Now, we know that sin60^{\circ}=\frac{\sqrt{3}}{2}

then, (A) \frac{1}{2}asin60^{\circ}=\frac{\sqrt{3}}{4}a

which is not equal to the value of area of equilateral triangle, thus this option is not correct.

(B) 3asin60^{\circ}=\frac{3\sqrt{3}}{2}a

which is not equal to the value of area of equilateral triangle, thus this option is not correct.

(C) \frac{1}{2}a^2sin60^{\circ}=\frac{\sqrt{3}}{4}a^2

which is equal to the value of area of equilateral triangle, thus this option is correct.

(D) a^2sin60^{\circ}=\frac{\sqrt{3}}{2}a^2

which is not equal to the value of area of equilateral triangle, thus this option is not correct.

Stolb23 [73]3 years ago
3 0
Its the 3rd one !! 1/2a^2 sin 60
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A class has 6 boys and 15 girls what is the ratio of boys to girls
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Ratio = division

now, division of boys over girls

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(C) "serpentine"

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2 years ago
Alex is making puppets for a show. He bought all the string needed for $125. It costs $18 for the remaining materials to make ea
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Alex bought all the string needed for $125.

It costs $18 for the remaining materials to make each puppet.

So if we closely observe then we see that here $125 is the fixed cost because its not going to change with number of puppets.

And the variable cost is $18.

In this case we can model a Total cost function C(x) for for x number of puppets as below

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