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vladimir2022 [97]
2 years ago
11

What does x2 + y2 equal.

Mathematics
1 answer:
Yuri [45]2 years ago
5 0
That’s the equation for the radius of a circle, it would equal r2
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What is the square root of -1
MAXImum [283]

Answer:

i

Step-by-step explanation:

\sqrt{-1} is the same thing as i, which is an imaginary number.

Since you can't take the square root of negative numbers, we use i to do it.

5 0
3 years ago
|a|=6 solve please I need help
gregori [183]

a can either b 6 or -6.

a = \pm 6

5 0
3 years ago
The base of a solid right pyramid is a regular hexagon with a radius of 2x units and an apothem of units. A solid right pyramid
Xelga [282]

Answer:

6 x^2*\sqrt{3}

Step-by-step explanation:

The base of the pyramid we need to study is a hexagon.

Let's look at the attached image of an hexagon to understand how we are going to find the area of this figure.

Notice that an hexagon is the combination of 6 exactly equal equilateral triangles in our case of size "2x" (notice that the "radius" of the hexagon is given as "2x")

Therefore the area of the hexagon is going to be 6 times the area of one of those equilateral triangles.

We know the area of a triangle is the product of its base times its height, divided by 2: \frac{base*height}{2} = \frac{2x*height}{2}

We notice that the triangle's height is exactly what is called the "apothem" of the hexagon (depicted in green in our figure) which measures x\sqrt{3}, so replacing this value in the formula above for the area of one of the triangles:

\frac{2x*height}{2}= \frac{2x*x\sqrt{3} }{2}=x^2\sqrt{3}

Then we multiply this area times 6 to get the total area of the hexagon (6 of these triangles):

Area of hexagon = 6x^2\sqrt{3}

which is the last option given in the list.

5 0
3 years ago
Read 2 more answers
The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown.
lions [1.4K]

Answer:

5.29

Step-by-step explanation:

Pythagorean theorem is used

We will call AB x

x^2 + 6^2 = 8^2

x^2 + 36 = 64

x^2 = 28

x = 5.2915026

<u>x = 5.26</u>

4 0
3 years ago
Look at the right-angled triangle ABC.
olga_2 [115]

Answer:

∠x = 90°

∠y = 58°

∠z = 32°

Step-by-step explanation:

he dimensions of the angles given are;

∠B = 32°

Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;

∠A = 90°

∠B + ∠C = 90° which gives

32° + ∠C = 90°

∠C = 58°

∠x + Interior angle of the square = 180° (Sum of angles on a straight line)

∠x + 90° = 180°

∠x = 90°

∠x + ∠y + 32° = 180° (Sum of angles in a triangle)

90° + ∠y + 32° = 180°

∠y = 180 - 90° - 32° = 58°

∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)

58° + ∠z +90° = 180°

∴ ∠z = 32°

∠x = 90°

∠y = 58°

∠z = 32°

8 0
2 years ago
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