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storchak [24]
3 years ago
14

What is the GCF of 24a^3 b and 36ab^2? 2ab 4a^3b 12ab 72a^3b^2

Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
6 0
12ab will be the right answer.

Since 24a^3 = 12ab(2a^2)

And 36ab^2 = 12ab(3b)
laiz [17]3 years ago
6 0

Answer with explanation:

Two numbers are , 24 a³b and 36 a b².

The meaning of G C F between two number is that greatest number which divide both the number.

We will factorize , 24 a³b and 36 a b² and take out the common factors to determine their G CF.

→24 a³ b= 2×2×2×3×a×a×a×b

→36 a b²=2×2×3×3×a×b×b

G C F(Greatest common factor)=2×2×3×a×b

       =12 a b

Option C

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A regular octagon has all its eight sides congruent. The line segments joining each of the vertices of a regular octagon to its center are called the radii of the octagon. These 8 radii divide a regular octagon into 8 congruent isosceles triangles. Area of each isosceles triangle is

A_{triangle}=\dfrac{1}{2}a^2\sin \alpha,

where a is length of the side of the octagon and \alpha is the angle between two radii of the octagon.

In regular octagon

\alpha=\dfrac{360^{\circ}}{8}=45^{\circ}.

Then the area of regular octagon is

A_{octagon}=8A_{triangle}=8\cdot \dfrac{1}{2}a^2\sin \alpha=4\cdot (6)^2\cdot \sin 45^{\circ}=4\cdot 36\cdot \dfrac{\sqrt{2}}{2}=72\sqrt{2} sq. m.

Answer: A_{octagon}=72\sqrt{2} sq. m.


7 0
4 years ago
The perimeter is 40. How much bigger is the longest side than the shortest side?
sesenic [268]

Answer:

10

Step-by-step explanation:

40=2a<u>-3</u>+2a+3a<u>+1</u>

add like terms

  • 40=7a-2

get 'a' by its self

  • 40(+2)=7a<u>-2(+2)</u> [2 cancels out]
  • 42(÷7)=7a(÷7) [7 cancels out]
  • a=6

plug in the answer for Equations

  • biggest: 3(6)+1= 18+1= 19
  • smallest: 2(6)-3= 12-3=9

subtract smallest from biggest

  • 19-9=10

3 0
4 years ago
I WILL GIVE YOU BRAINLIEST IF YOU ANSWER THE WHOLE QUESTION CORRECTLY.
Elden [556K]

Answer:

X=6,-4

Step-by-step explanation:

0=x^2-2x-24

First substitute x with 6

0=(6)^2-2(6)-24

36-12-24

=0

Now try -4

0=(-4)^2-2(-4)-24

Two negative numbers time each other turns it into a positive number -4 x -4=16

24-24=0

7 0
3 years ago
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6 0
4 years ago
Need help on my qyiz​
Evgesh-ka [11]
H is equal to 8
M is equal to 15.3

20-12= 8
9+6.3= 15.3

Hope this helped
4 0
3 years ago
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