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ExtremeBDS [4]
3 years ago
14

A cylinder has a base diameter of 14m and a height of 15m. What is its volume in

Mathematics
1 answer:
BabaBlast [244]3 years ago
3 0

Answer:

2310m^3

Step-by-step explanation:

base area which is the circle = πr^2

But diameter, d = 14, r = 14/2 = 7

area = π × (7)^2 = 22/7 × 49 = 22 × 7 = 154

Volume = base area × height

= 154 × 15 = 2310

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A geometric sequence has a4 = 4 and a5 = 7. What is a1 ? Your answer​
svetlana [45]

Answer:

  • 4⁴/7³ or 256/343

Step-by-step explanation:

<u>Given GP with </u>

  • a₄ = 4
  • a₅ = 7
  • a₁ = ?

<u>Let the common difference is r, then</u>

  • a₅ = a₄r
  • a₁r³ = 4
  • a₁r⁴ = 7

<u>Solve for r and then a₁:</u>

  • 4r = 7 ⇒ r = 7/4
  • a₁(7/4)³ = 4
  • a₁ = 4*(4/7)³ = 4⁴/7³ = 256/343
5 0
3 years ago
Which number produces a rational answer when added to 0.85
ZanzabumX [31]

The number that produces a rational answer when added to 0.85 is; 193/180

<h3>How to identify rational numbers?</h3>

A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or not infinitely long. If they aren't, then these are called irrational numbers.

Now, let us convert 0.85 to a fraction. Thus;

0.85 = 85/100 = 17/20

From the given options, the only one that when added to 0.85 will yield a rational number is 2/9. This is because;

17/20 + 2/9 = 193/180

193/180 is a rational number.

The missing options are;

A. 2/9

B. 0.2645751311...

C. √2

D.

Read more about rational numbers at; brainly.com/question/4694420

#SPJ1

3 0
1 year ago
Solve this and get 12 points
Pachacha [2.7K]

Answer:

9

Step-by-step explanation:

First, find <em>x</em>. Since <em>x</em> is the average of the three number, add the three up and then divided by three. Thus:

x=\frac{13+-16+6}{3}=3/3=1

<em>y</em> is the cube root of 8. Thus:

y=\sqrt[3]{8}=2

So:

x^2+y^3\\=(1)^2+(2)^3\\=1+8=9

5 0
3 years ago
Read 2 more answers
Which choice is the appropriate simplified form n restriction for the variable 3x^2 + 6x / x^2 - 2x - 8
mrs_skeptik [129]
\frac{3x^{2}+6x}{x^{2}-2x-8} = \frac{3x(x+2)}{(x-4)(x+2)}= \frac{3x}{x-4} &#10;\\ \\ \frac{3x}{x-4} , x \neq 4

x \neq -2
3 0
3 years ago
What value is equivalent to 108-8x(5-2)-60
emmasim [6.3K]

Answer:

-28    +    -1    =    -29

     -14    +    -2    =    -16

     -7    +    -4    =    -11

     -4    +    -7    =    -11

     -2    +    -14    =    -16

     -1    +    -28    =    -29

     1    +    28    =    29

     2    +    14    =    16

     4    +    7    =    11

     7    +    4    =    11

     14    +    2    =    16

     28    +    1    =    29

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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