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3 years ago

8

What is the 30°-60°-right triangle theorem?

1 answer:

kondaur [170]3 years ago

4 0

<span>the 30°-60°-right triangle theorem states that the
</span>In a right triangle, the hypotenuse is twice as long as a leg if and only if the measure of the
<span>angle opposite that leg is 30°
so the option C is correct from above all
</span>see the figure
hope it helps

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You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-

Nikitich [7]

Answer:

Perimeter = 28 yards

Area = 49 square yards.

Step-by-step explanation:

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let as consider the vertices of the floor are A(-2,-3), B(-2,4), C(5,4) and D(5,-3).

Using distance formula, we get

$AB=\sqrt{(-2-(-2))^2+(4-(-3))^2}=\sqrt{(-2+2)^2+(4+3)^2}=\sqrt{0+7}^2=7$

Similarly,

$BC=\sqrt{(5-(-2))^2+(4-4)^2}=7$

$CD=\sqrt{(5-5)^2+(4-(-3))^2}=7$

$AD=\sqrt{(5-(-2))^2+(-3-(-3))^2}=7$

It is conclude that, $AB=BC=CD=AD$ .

From the given points it is clear that all sides lie on either vertical or horizontal lines.

Since all sides are equal, and adjacent sides are perpendicular, therefore, the base is a square with edge 7 yards.

Perimeter of square floor is

$P=4a=4(7)=28\text{ yards}$

Area of square floor is

$A=a^2=7^2=49\text{ sq. yards}$

Therefore, the perimeter is 28 yards and the area is 49 square yards.

7 0

3 years ago

A 5-kilogram bag of rice costs $16.03. What is the unit price, rounded to the nearest cent?

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3 years ago

Step-by-step to reduce the radical of the square root Of 160

notka56 [123]

Answer:

$4\sqrt{10}$

Step-by-step explanation:

$\sqrt{160}$

$\sqrt{16 * 10}$

$4\sqrt{10}$

because 16 is a perfect square root and it splits into 4 * 4 while 10 isnt a perfect square root so it stays inside.

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3 years ago

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Put these questions in order from least to greatest 3/8 19/24 2/3

aleksandr82 [10.1K]

First 3/8, second 2/3, and third 19/24

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3 years ago

Solve the equation V - E + F = 2 for E

Anettt [7]

V + f − e = 2
<span>Add -2+e to both sides. </span>

<span>v + f − e -2+e = 2 -2+e </span>
<span>On simplification, we get </span>
<span>v + f − 2 = e </span>

<span>Yes, that is the solution for e.</span>

5 0

3 years ago