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Naya [18.7K]
3 years ago
6

Find the value of x using the geometric mean theorems.

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
8 0

Answer:

Step-by-step explanation:

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A cylinder has a volume of 245 cubic units and a height of 5 units. The diameter of the cylinder is
Vikki [24]

Answer:

The diameter is twice that, or approx. 7.90 units.

Step-by-step explanation:

the equation for the volume of a cylinder of radius r and height h is

V = πr²h.  Here we need to calculate the diameter after having found the radius.  Solving V = πr²h for r², we get:

           V

r² = -----------

         πh

Substituting the given values, we obtain for r² the following:

         145 units³

r² = ------------------------  = 15.6 units²

       3.14159(5 units)

Taking the square root of both sides, we get:

r = √15.60, or approx. 3.95 units.

The diameter is twice that, or approx. 7.90 units.

3 0
4 years ago
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Can someone help with this asap
Radda [10]

Answer:

There are 5⁸ blades.

Step-by-step explanation:

Given that,

The area of land =5^{12}\ \text{acres}

Each acre has 5⁴ blades of grass

We need to find how many blades of grass have by the entire land. It can be calculated as follows :

n=\dfrac{5^{12}}{5^4}\\\\n=5^{12-4}\\\\n=5^8

Hence, there are 5⁸ blades.

3 0
3 years ago
Solve each inequality. Graph and check the solution.
goldfiish [28.3K]
1. -4x > -16...divide by -4 and change inequality sign
     x < -16/-4
     x < 4

2. -y/2 < 6 ...multiply both sides by 2
     -y < 12 ...multiply both sides by -1 and change inequality sign
      y > -12

3. -5a < -20....divide both sides by -5 and change inequality sign
     a > -20/-5
     a > 4

4. -b/2 > -1....multiply both sides by 2
     -b > -2...multiply both sides by -1 and change inequality sign
     b < 2

5. -4b < 24....divide both sides by -4 and change inequality sign
     b > -24/4
    b > - 6

6. -7c < -14....divide both sides by -7 and change inequality sign
     c > -14/-7
     c > 2

7. -d/3 > -9...multiply both sides by 3
    -d > -27...multiply both sides by -1 and change inequality sign
     d < 27
8 0
3 years ago
Which expressions are equivalent to the one below. Check all that apply. Log9 1 * log9 81
blsea [12.9K]
Log9 1 = 0
Log9 81 = 2
0 * 2 = 0
6 0
3 years ago
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The inequality graphed below represents the ages, a, of
galina1969 [7]

Answer:

the first one

Step-by-step explanation:

the others don't make any sense and also the first one's the only one that's in inequality form.

6 0
3 years ago
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