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balandron [24]
3 years ago
13

Look at the image for the problem :)

Mathematics
1 answer:
8_murik_8 [283]3 years ago
5 0

Answer:

\displaystyle V = 28 \pi \ ft^3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Volume of a Cylinder Formula: \displaystyle V = \pi r^2h

  • V is volume
  • r is radius
  • h is height

Step-by-step explanation:

<u>Step 1: Define</u>

Radius <em>r</em> = 2 ft

Height <em>h</em> = 7 ft

<u>Step 2: Solve for V</u>

  1. Substitute in variables [Volume of a Cylinder Formula]:                                \displaystyle V = \pi (2 \ ft)^2(7 \ ft)
  2. [Volume] Evaluate exponents:                                                                         \displaystyle V = \pi (4 \ ft^2)(7 \ ft)
  3. [Volume] Multiply:                                                                                             \displaystyle V = 28 \pi \ ft^3
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Please can I check with you the answer for nbr 12?<br> Is it correct?
Crank

Answer:

B and C

Step-by-step explanation:

  • B = 2,4,6
  • =3,6
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8 0
2 years ago
I don’t understand this help please
Elodia [21]

Answer:

  9

Step-by-step explanation:

The first simplification we can make is to replace 6^0 with 1.

The first rules of exponents we can apply are ...

  <em>(a·b)^c = a^c·b^c</em> . . . . . . similar to the distributive property

<em>   (a^b)^c = a^(b·c)</em>

This reduces your expression to ...

  (2^8\cdot 3^{-5})^{-2}\cdot\left(\dfrac{3^{-2}}{2^3}\right)^4\cdot 2^{28}=2^{8(-2)}\cdot 3^{-5(-2)}\cdot\dfrac{3^{-2(4)}}{2^{3(4)}}\cdot 2^{28}\\\\=2^{-16}\cdot 3^{10}\cdot\dfrac{3^{-8}}{2^{12}}\cdot 2^{28}

Now we can apply another two rules of exponents:

<em>   (a^b)(a^c) = a^(b+c)</em>

<em>   1/a^b = a^-b</em>

Using these, we have ...

  =2^{-16-12+28}\cdot 3^{10-8}\\\\=2^0\cdot 3^2\\\\=1\cdot 9=9

The value of the expression is 9.

3 0
3 years ago
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Vaselesa [24]

Answer:

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Step-by-step explanation:

I hope this helps!

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2 years ago
An isosceles right triangle has legs of equal length if the hypotenuse is 10 cm long find the length of each leg
ICE Princess25 [194]

Since this is a right triangle, we know we have to use the Pythagorean Theorem: A² + B² = C² , where A and B = the legs of the triangle (which are shorter than the hypotenuse) and C = the hypotenuse.

In this isosceles triangle, A = B (because the legs are the same size) and C is 10cm longer than A and B.

Thus we get the following,

A = x

B = x

C = x + 10

We simply plug in these variables into the equation and solve for x:

x² + x² = (x+10)²

2x² = x² + 20x + 100

x² - 20x - 100 = 0

We solve for x by completing the square:

(x² - 20x + 100) - 100 = 100

(x-10)² -100 = 100

(x-10)² = 200

x - 10 = √(200)

x - 10 = 10 √2

x = 10 + 10√2 = 24

Finally,

A ≈ 24 (or 10 + 10√2)

B ≈ 24 (or 10 + 10√2)

C ≈ 24 + 10 ≈ 34 (or 10 + 10√2 + 10 = 20 + 10√2)

3 0
2 years ago
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Fynjy0 [20]

Answer:

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Step-by-step explanation:

Since -8 and -5 have like variables, you can subtract them. -8-5 is -13, so the answer is -13a.

4 0
3 years ago
Read 2 more answers
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