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Whitepunk [10]
2 years ago
8

3x(x + 2) and 6x(2x - 3) find the Least common multiple

Mathematics
1 answer:
Dafna1 [17]2 years ago
3 0

The LCM of 3x( x + 2 ) and 6x(2x -3) is 6x ( x + 2 )( 2 x -3). 6x( x + 2)( 2x -3)

Greetings

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Find the volume of a sphere with a great circle area of 201.06 square inches
Vikentia [17]
Assuming you meant a "circular cross-section" of 201.06 in².

so, we know if we cut the sphere like a cantaloupe, in half, the circular inner-part of the cantaloupe will have an area of 201.6 in².

keeping in mind that, the radius of that circular section, is the same radius of the sphere, what is it anyway?

\bf \textit{area of a circle}\\\\
A=\pi r^2~~
\begin{cases}
r=radius\\
-----\\
A=201.06
\end{cases}\implies 201.06=\pi r^2
\\\\\\
\cfrac{201.06}{\pi }=r^2\implies \sqrt{\cfrac{201.06}{\pi }}=r\\\\
-------------------------------

\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}\qquad \qquad \implies V=\cfrac{4\pi \left( \sqrt{\frac{201.06}{\pi }} \right)^3}{3}\implies V=\cfrac{4\pi \left( \frac{\sqrt{201.06^3}}{\sqrt{\pi ^3}} \right)}{3}
\\\\\\
V=\cfrac{4\pi \cdot \frac{\sqrt{201.06^3}}{\pi \sqrt{\pi }}}{3}\implies V=\cfrac{\frac{4\sqrt{201.06^3}}{\sqrt{\pi }}}{3}\implies V=\cfrac{4\sqrt{201.06^3}}{3\sqrt{\pi }}
6 0
3 years ago
What subsets of numbers does 8 2/3 belong to?
Ne4ueva [31]
By simplifying the number given which is 8 2/3, we get an improper fraction of 26/3. Also, when we try to divide 26 by 3, we get an answer of 8.6667, with 6 as a repeating number after the decimal place. Therefore, this number is an example of real and rational number. Thus the answer is the second choice. 
5 0
4 years ago
1.50/ 4 oz<br> ☕️<br> Hhhhhhhhuuuuuuuuuuuuuuuu
Nimfa-mama [501]

Answer:

0.375

Step-by-step explanation:

6 0
3 years ago
What the surface area of the regular square pyramid?is (Figure is not drawn to scale.)7 cm9 cm A) 120.5 cmo B) 144 cm C) 207 cm
Sindrei [870]
The answer is C. 207 cm. The formula to find the area of a triangle is 1/2 base times height. So the base is 9cm and the height is 7cm. Multiply them and you get 63, but you have to divide by 2 because the formula so you get 31.5 cm. Multiply that by 4 because there are four triangles. So you get 126 cm. Then to find the area of the square, you do s times s. Side times side so 9 times 9 is 81. Add the 81 and 126 together and your answer is 207. hope i helped ya!!
6 0
3 years ago
Write a complete two-column proof for the following information. Hint: Use the Angle Addition Theorem and the fact that a line i
kramer

Answer:

Step-by-step explanation:

Given: m∠1 = 62° and lines t and l intersect

Prove: m∠4 = 62°

Proof:

Statement                                        Reason

m∠1 = 62°                                         Given

m∠1 , m∠2 are supplementary       t is a straight line hence linear pair.

m∠4 , m∠2 are supplementary       r is a straight line hence linear pair.

Angle 2=180-62 = 118                      Definition of supplementary angles

Angle 4 = 180-118 =62                     -do-

Angle 1 = Angle 4                            Equality property

Hence proved

6 0
3 years ago
Read 2 more answers
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