Mathematics, 30.09.2019 16:00 blackboy21

What is the area of to the nearest tenth of a square centimeter? use special right triangles to find the height. show your work.

What is the area of to the nearest tenth of a square centimeter? use special right triangles to fi

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Answer from: momomo4

That is a 30 60 90 triangle.
In such a triangle the "middle" size = short side * sq root (3)
height = 5 * sq root (3) = 8.6602540378
Area = (1/2) * 5 * 8.6602540378
Area = 2.5 * 8.6602540378
Area = 21.6506350946 square centimeters

Answer from: robert7248

$21.7\text{ cm}^2$

Step-by-step explanation:

We have been given an image of a 30-60-90 triangle. We are asked to find the area of our given triangle.

$\text{Area of triangle}=\frac{1}{2}\times (\text{Base}\times\text{Height})$

First of all, we need to find the height of our given triangle.

In a 30-60-90 triangle, the shorter leg that corresponds to 30 degree angle is units long. The sides corresponding to 60 and 90 degree angles are $x\sqrt{3}$ and respectively.

Since the value of is 5 cm, so the height of our given triangle (corresponding to 60 degree angle) will be:

$x\sqrt{3}=5\sqrt{3}$

Upon substituting our given values in area of triangle formula we will get,

$\text{Area of triangle}=\frac{1}{2}\times (5\times 5\sqrt{3})$

$\text{Area of triangle}=\frac{1}{2}\times (25\sqrt{3})$

$\text{Area of triangle}=12.5\sqrt{3}$

$\text{Area of triangle}=21.65063509\approx 21.7$

Therefore, the area of our given triangle is 21.7 square centimeters.

Answer from: Quest

option: d is correct

step-by-step explanation:

Answer from: Quest

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

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What is the area of to the nearest tenth of a square centimeter? use special right triangles to fi...