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marta [7]
3 years ago
13

is 392 a perfect cube? if not what is the what is the smallest natural number by which 392 must be multiplicated so that the pro

duct is a perfect cube
Mathematics
1 answer:
Karolina [17]3 years ago
6 0
Prime factorising 392, we get,
392=2×2×2×7×7
=2
3
×7
2
.
We know, a perfect cube has multiples of 3 as powers of prime factors.
Here, number of 2's is 3 and number of 7's is 2.
Therefore, 392 is clearly not a perfect cube.

Here, we need to multiply another 7 to the factorization to make 392 a perfect cube.
Hence, the smallest number by which 392 must be multiplied to obtain a perfect cube is 7.
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Y=4x+8x, Solve for x.<br><br> It's x=y/12, I just need to know how to work it out.
Scrat [10]

Step-by-step explanation:

<h2>Answer:-</h2>

\tt{y = 4x+8x}

First, we need to add up the x.

We know that 4+8 = 12, so

\tt{4x+8x=12x}

Now, equating it to y,

\tt{y = 12x}

Now, if I multiply \tt{\dfrac{1}{12}} on both sides,

I get,

\tt{\dfrac{y}{12}= \dfrac{\cancel{12}x}{\cancel{12}}}

Now, as 12 got cancelled , I got the final answer as

\boxed{\tt{x =\dfrac{y}{12}}}

Hope it helps :)

4 0
3 years ago
Algebra
vladimir2022 [97]
(2x + 3y = 12) x (-2)
(4x - 3y = 6) x 1

-4x - 6y = -24
4x - 3y = 6

You can cancel out the x values by adding the two equations together. 
(-4x + 4x) + (-6y - 3y) = (-24 + 6)
-9y = -18
y = 2

Solve for x now...
4x - 3(2) = 6
4x - 6 = 6
4x = 12
x = 3

Check... (x = 3, y = 2)
2(3) + 3(2) = 12 
6 + 6 = 12
12 = 12 <- this works! 

4(3) - 3(2) = 6
12 - 6 = 6
6 = 6 <- this works!
5 0
3 years ago
Read 2 more answers
Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,
Lina20 [59]

The shortest distance between the tip of the cone and its rim exits 51.11cm.

<h3>What is the shortest distance between the tip of the cone and its rim?​</h3>

If you draw a line along the middle of the cone, you'd finish up with two right triangles and the line even bisects the angle between the sloping sides. The shortest distance between the tip of the cone and its rim exists in the hypotenuse of a right triangle with one angle calculating 38.5°. So, utilizing trigonometry and allowing x as the measurement of the shortest distance between the tip of the cone and its rim.

Cos 38.5 = 40 / x

Solving the value of x, we get

Multiply both sides by x

$\cos \left(38.5^{\circ}\right) x=\frac{40}{x} x

$\cos \left(38.5^{\circ}\right) x=40

Divide both sides by $\cos \left(38.5^{\circ}\right)$

$\frac{\cos \left(38.5^{\circ}\right) x}{\cos \left(38.5^{\circ}\right)}=\frac{40}{\cos \left(38.5^{\circ}\right)}

simplifying the above equation, we get

$x=\frac{40}{\cos \left(38.5^{\circ}\right)}

x = 51.11cm

The shortest distance between the tip of the cone and its rim exits 51.11cm.

To learn more about right triangles refer to:

brainly.com/question/12111621

#SPJ9

7 0
1 year ago
Read 2 more answers
Find the average of<br> 8,11,14,13,14, 9,15
drek231 [11]

Answer:

12

Step-by-step explanation:

(8+11+14+13+14+9+15)/7 = 12

8 0
1 year ago
Read 2 more answers
Which is the equation of a line that is perpendicular to the line represented by y=7/6x+4
Mumz [18]
B because to be perpendicular the slope had to be opposite of the original slope but the same b. But parallel would be the exact same slope with a different b
5 0
3 years ago
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