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yarga [219]
3 years ago
10

Find Volume for the cones. Round to the nearest TENTH. (A) Radius of 2 in, and a height of 4 inches (B) Diameter of 6 m, and a h

eight of 3 m (c) Diameter of 5 in, and a height of 10 in
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0

Answer:

A. 16.8 in³

B. 28.3 m³

C. 65.4 in³

Step-by-step explanation:

The volume of a cone is given as:

V = ⅓ * pi * r² * h

Where r = radius of base of cone

h = height of cone

A. Radius = 2 inches, height = 4 inches

It's volume is:

V = ⅓ * pi * 2² * 4

V = 16.8 in³

B. Diameter of 6 m, and a height of 3 m

It's diameter is 6 m, therefore, it's radius is:

r = d / 2 = 6 / 2 = 3 m

It's volume is:

V = ⅓ * pi * 3² * 3

V = 28.3 m³

C. Diameter of 5 in, and a height of 10 in

It's diameter is 5 in, therefore, it's radius is:

r = d / 2 = 5 / 2 = 2.5 m

It's volume is:

V = ⅓ * pi * 2.5² * 10

V = 65.4 in³

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BARSIC [14]
His brothers have 4 games
He had 10 games
So in total there are 14 games
And if there are 2 cases and each one had the same amount, then in each one there would be 14÷2=7

In each case, there are 7 games.
8 0
3 years ago
How can I factor 5x^2 + 26x - 24 = 0 using the completing the square method.
kifflom [539]
<h2><u>QUADRATIC EQUATION</u></h2>

<h2>\mathbb{ANSWER:}</h2>
  • \bold{x = 0.8 \: } \:  \sf \:  {\color{grey}or} \:  \:  \:  \bold{ x=  \frac{4}{5} } \\

  • \bold{x =  - 6}

— — — — — — — — — —

<h3>Step-by-step explanation:</h3>

<u>How can </u><u>we</u><u> factor 5x^2 + 26x - 24 = 0 using the completing the square </u><u>method?</u>

Let's solve your equation step-by-step.

\bold{Given \:  Equation: \color{brown} 5x²+26x-24=0}

First, add 24 to both sides.

  • \bold{5x²+26x-24 - \purple{ 24} = 0 +  \purple{24}}

  • \bold{ \implies \: 5x²+26x = 24 }

Since the coefficient of 5x² is 5, divide both sides by 5.

  • \bold{ \frac{5 {x}^{2} + 26x }{5} =  \frac{24}{5}  } \\

  • \bold{ \implies \:  {x}^{2} +  \frac{26}{5} x =  \frac{24}{5}  } \\

The coefficient of 26/5x is 26/5. So, let b=26/5.

Then we need to add (b/2)²=169/25 to both sides to complete the square.

Add 169/25 to both sides.

  • \bold{ {x}^{2} +  \frac{26}{5} x +  \frac{  \purple{169}}{ \purple{25}}=  \frac{24}{5}    +  \frac{ \purple{169}}{ \purple{25}} } \\

  • \bold{ \implies \:\bold{ {x}^{2} +  \frac{26}{5} x +  \frac{  169}{ {25}}=  \frac{289}{25}  } } \\

Factor the left side.

  • \bold{(x +  \frac{13}{5} ) {}^{2} =  \frac{289}{25}  } \\

Take square root.

  • \bold{x +  \frac{13}{5} = ±  \:  \sqrt{ \frac{289}{25}  }} \\

Then, add (-13)/5 to both sides.

  • \bold{x +  \frac{13}{5} +  \frac{\purple{ - 13} }{\purple{ 5}} = \frac{{ - 13} }{{ 5}} ± \:      \sqrt{ \frac{289}{25}}} \\

  • \bold{  \: x =  \frac{ - 13}{5} ± \sqrt{ \frac{289}{25} } } \\

  • \implies \: \underline{ \boxed{ \bold{   \frac{4}{5}  } \sf  \:  \: or \:  \:  \bold{ x =  - 6}}} \\

_______________❖_______________

3 0
2 years ago
Read 2 more answers
Eleven subtracted from the quotient of a number and five is -13
madam [21]
X/5 - 11 = -13

x/5 - 11 (+11) = -13 (+11)

x/5 = -2

x/5 (5) = -2(5)

x = -10

-10 is your number

hope this helps
5 0
3 years ago
The triangles below are similar. Triangle Y X Z. Side Y X is 6 centimeters, X Z is 7 centimeters, and Z Y is 3 centimeters. Tria
Olin [163]

Answer:

I would go with c.

Step-by-step explanation:

Hope this helped!

6 0
3 years ago
Read 2 more answers
What is 2(x-4)+4(45x+6)
Ray Of Light [21]

Answer:

182x + 16

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

2(x - 4) + 4(45x + 6)

<u>Step 2: Simplify</u>

  1. Distribute:                              2x - 8 + 180x + 24
  2. Combine like terms (x):         182x - 8 + 24
  3. Combine like terms (Z):        182x + 16
7 0
3 years ago
Read 2 more answers
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