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Artyom0805 [142]
2 years ago
13

Find the value of x. If necessary, write your answer in simplest radical form. x=?

Mathematics
1 answer:
Sever21 [200]2 years ago
5 0
Pythagoras’ theorem

a^2 + b^2 = c^2

Where a and b are two sides on a triangle and c is the hypotenuse.

Rearrange to find one to the sides that isn’t the hypotenuse.

a^2 = c^2 - b^2
a^2 = 25^2 - 10^2
a^2 = 625 - 100
a^2 = 525

(square root)

a = √525

= 5√21
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What is the volume of this solid? Use 3.14 for pi. 37.68 cm³ 138.16 cm³ 169.56 cm³ 207.24 cm³ A solid consisting of a cone on to
yulyashka [42]
Volume of Solid = Volume of Cylinder + Volume of Cone
Volume of Cylinder = πr²h
v= 3.14 * (3)² * 6
v = 169.56

Volume of Cone = πr² h/3
v = 3.14 * (3)² * 4/3
v = 37.7

Now, V = 169.56 + 37.7 = 207.26 cm³

Hope this helps!
8 0
3 years ago
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Meg surveyed some students at her school about their favorite professional sports. Of the students surveyed, 2 said football was
elixir [45]

Answer:

\frac{1}{5}

Step-by-step explanation:

Assuming a total of ten students were asked, \frac{2}{10} chose football and \frac{8}{10} chose other sports. \frac{2}{10} simplified is \frac{1}{5}, so that's the experimental chance that the next student favors football.

4 0
2 years ago
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A regular octagonal pyramid. Each side of the base is 6 cm long. it has a height of 10cm. Find the surface area of the pyramid​
attashe74 [19]

9514 1404 393

Answer:

  470.16 cm²

Step-by-step explanation:

The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.

The apothem of the base for side length s is ...

  s/2 = a·tan(π/8)

  a = s/(2·tan(π/8)) ≈ 7.24 cm

The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...

  x² = 10² + a² = 100 +52.46

  x ≈ √152.46 ≈ 12.35

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The area of the 8 triangular faces will be ...

  A = 1/2Px . . . . where P is the perimeter of the pyramid

The area of the base will be ...

  A = 1/2Pa

So, the total surface area is ...

  A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²

8 0
3 years ago
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Dan invests £800 into his bank account.
Ronch [10]

Answer:

£160

Step-by-step explanation:

Ammount he receives per year times 4.

800 x 0.05 x 4

= £160

6 0
3 years ago
Drag each tile to the correct box.
mr_godi [17]

Answer:

-2.76

-2.57

-2.5

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Hopefully this is what you mean. Have a nice day!

Step-by-step explanation:

7 0
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