In order to find this, you first must find the length of the sides. Using a manipulated formula for area of an equilateral triangle, we can determine the lengths of the side. Below if the formula.

S = $\frac{2}{3}3^{\frac{3}{4}} \sqrt{A}$

In this, S is the length of the side and A is the area. So we plug in and get:

S = $\frac{2}{3}3^{\frac{3}{4}} \sqrt{62.4}$

S = $\frac{2}{3}3^{\frac{3}{4}} 7.89$

S = 12

Now that we have the side as 12, we can use the Pythagorean Theorem to find the height. If you split a equilateral triangle down the middle, you are left with two right triangles. Using this right triangle, the hypotenuse would be 12, the first leg would be 6 (half of the base) and the height would be the other leg. So we plug in and solve.

$a^{2} + b^{2} = c^{2}$

$6^{2} + h^{2} = 12^{2}$

$36 + h^{2} = 144$

$h^{2} = 108$

h = 10.4

5 0

3 years ago

Please help me I’m so lost

Svetllana [295]

Answer:

759.88 square inches

Step-by-step explanation:

$r = \frac{1}{2}d = \frac{1}{2} \times 44 = 22 \\ \\ area = \frac{1}{2} \pi \: {r}^{2} \\ area = \frac{1}{2} \times 3.14 \times 22 \times 22 \\ area = 759.88 \: square \: inches$

4 0

3 years ago

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Use the distributive property to fill in the blanks below.

elena-14-01-66 [18.8K]

Answer:

(5×7)-(5×6) = 5×(7-6)

5 0

3 years ago

Which point is the solution to the following system of equations? x2 + y2 = 13 2x - y = 4

Anit [1.1K]

There are two solutions.
.. (3, 2)
.. (0.2, -3.6)

_____
If you're choosing possibilities from a list, trying them in the equations usually gives quick results.

4 0

3 years ago

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Caculate the sale price to two decimal places of an item which is sold at a discount of $95.64 to its regular price of $546.59.​

Caculate the sale price to two decimal places of an item which is sold at a discount of $95.64 to its regular price of $546.59.