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anygoal [31]
2 years ago
6

Help me find the answer plss​

Mathematics
1 answer:
Olin [163]2 years ago
5 0

Answer:

about 8.2 cm

Step-by-step explanation:

The key is to realize that the volume never changes.
The formula for the volume of a sphere is (4/3)*pi*radius^3
22/7 is being substituted in place of pi in this problem
The volume of one of the small spheres is
(4/3)*(22/7)*2^3 is about 33.524 cm^3
64 of those spheres would have a volume of 33.524*64, or about 2145 cm^3
Now, the problem is to find a sphere with a volume of 2145 cm^3
Volume = (4/3)*(22/7)*radius^3
plug in and solve
2145 = 4.1905*r^3
r^3=511.87
r is about equal to 8.2 centimeters

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The cross-sectional areas of a triangular prism and a right cylinder are congruent. The triangular prism has a height of 5 units
Yanka [14]

Answer:

Step-by-step explanation:

The volume of the prism is not equal to the volume of the cylinder.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the cross sectional areas of a triangular prism and a right cylinder.

Volume of cylinder = cross sectional area * height = 3 * x = 3x

Volume of triangular prism = cross sectional area * height = 5 * x = 5x

The volume of the prism is not equal to the volume of the cylinder.

Find out more on equation at: brainly.com/question/2972832

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7 0
2 years ago
Mary pays income tax according to the graduated schedule shown below. A 3-column table with 6 rows. Column 1 is labeled If taxab
Katarina [22]

Answer:

$13564

Step-by-step explanation:

\left|\begin{array}{c|c|c}$If taxable&& \\$income&&\\$ is over&$but not over&$the tax is\\---&---&---\\$0 &7,825 &$10\%  of the amount over 0\\7,825 &31,850 &$782.50 plus $15\% $ of the amount over 7,825$ \end{array}\right|\left|\begin{array}{c|c|c}31,850 &77,100 &$4,386.25 plus 25\%  of the amount over 31,850 \\77,100 &160,850 &$15,698.75 plus 28\%  of the amount over 77,100\end{array}\right|

\left|\begin{array}{c|c|c}160,850 &349,700 &$39,148.75 plus 33\%  of the amount over 160,850 \\349,700 &$no limit&$101,469.25 plus 35\%  of the amount over 349,700\end{array}\right|

Mary’s taxable income= $68,562

From the table, If taxable income is over $31,850 but not over $77,100

The tax = $4386.25 + 25% of the amount over 31,850

Amount over $31,850=$68,562-$31,850

=$36,712

Therefore:

Mary's tax = $4386.25 + (25% of $36,712)

=$4386.25 +9,178

=$13564.25

=$13564 (to the nearest dollar)

5 0
3 years ago
Read 2 more answers
So I'm not good with story problems and im trying to figure this one question out. How do I format it?​
sashaice [31]

Answer:   $76,000

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

State Income Tax = Salary × Income Tax Rate

                   3040 = Salary × 0.04

              <u>   ÷ 0.04 </u>    <u>            ÷0.04 </u>

                76,000 = Salary

5 0
3 years ago
Which expression is the same as 8x (4 x 2)? ​
ANTONII [103]

Answer:

64x

Step-by-step explanation:

because 4 * 2 is in parenthesis, that means you multiply 8x by them.

8x (4*2)

8x (8)

64x

5 0
3 years ago
She will pay an extra?
swat32

She will pay $30.80

22.40/80=0.28

80+30=110

0.28*110=30.80

3 0
3 years ago
Read 2 more answers
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