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3 years ago

What is the area??????

Mathematics

1 answer:

OLga [1]3 years ago

4 0

Answer:

15.59

Step-by-step explanation:

The answer is 15.59 because to find the area of an equilateral triangle, you need to multiply the height by the length. In this scenario, the length is 6, and we need to find the height. Since we know that all of the sides of the equilateral triangle are 6, we can put a line dividing the equilateral triangle exactly in half as our height. This will form 2 triangles, and each of them will have a length of 3, and a slant height of 6. They would also be right triangles. Now, with this information you can do pythageroum thereom to find the height:: 3^2 + h^2 = 6^2. So, h = √27. Now, to find the area of a triangle, you must multiply the length by the height and then divide by 2. So (6 • √27)/2 is equal to 15.5884572681, which rounded is equivalent to 15.59. So the answer is 15.59.

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Write an integral in polar coordinates equivalent to the following:

Alex73 [517]

The region is a segment of a circle with radius √2 lying above the line $y=1$ . In polar coordinates, this line has equation

$y = r\sin(\theta) = 1 \implies r = \csc(\theta)$

and the circle has equation

$x^2+y^2 = r^2 = 2 \implies r=\sqrt2$

The two curves meet when

$\csc(\theta) = \sqrt2 \implies \sin(\theta) = \dfrac1{\sqrt2} \implies \theta = \dfrac\pi4 \text { or } \theta = \dfrac{3\pi}4$

Then the same integral in polar coordinates is

$\displaystyle \int_{-1}^1 \int_1^{\sqrt{2-x^2}} xy \, dy \, dx = \boxed{\int_{\pi/4}^{3\pi/4} \int_{\csc(\theta)}^{\sqrt2} r^3 \cos(\theta) \sin(\theta) \, dr \, d\theta}$

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2 years ago

Find the slope of the line that passes through these points. (4, 5) (7, 8)

harina [27]

Answer:

The slope would be 1

Step-by-step explanation:

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3 years ago

Moe painted the lid of a barrel. The circumference of the lid is 32 pi( pie) inches. Which measurement is closest to the area of

JulijaS [17]

Answer:

Area of lid = 804.35 square inches.

Step-by-step explanation:

Given the following data;

Circumference of lid = 32π inches

To find the area of the lid;

First of all, we would find the radius of the lid (circle).

Circumference of circle = 2πr

Substituting into the formula, we have;

32π = 2πr

Radius, r = 32π/2π

Radius, r = 16 inches.

Now, we can solve for the area of the circle using the formula;

Area of circle = πr²

Area of lid = 3.142*16²

Area of lid = 3.142 * 256

Area of lid = 804.35 square inches.

In terms of pie, area of lid = 256π square inches.

Therefore, the measurement which is closest to the area of the lid in square inches is 804.35 or 256π.

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3 years ago

Convert the mixed number to an improper fraction. 5 1/5...

I am Lyosha [343]

5=1+1+1+1+1
1=5/5
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3 years ago

1. Emily filled an empty horse trough with water. The water level, in centimeters, is proportional to time elapsed, in minutes,

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3 years ago