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3 years ago

Find the greatest common factor of thefollowing monomials:12b 40b4

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

8 0

Answer:

Step-by-step explanation:

The GCF is the largest number that will multiply into each term. It can be both numbers and letters.

12b = 2*2*3*b and 40b^4 = 2*2*2*5*b*b*b*b has GCF 2*2*b = 4b

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What is the area of this triangle ?

oee [108]

Answer:

Area of triangle is 9.88 units^2

Step-by-step explanation:

We need to find the area of triangle

Given E(5,1), F(0,4), D(0,8)

We will use formula:

$Area\,\,of\,\,triangle =\sqrt{s(s-a)(s-b)s-c)} \\where\,\, s = \frac{a+b+c}{2}$

We need to find the lengths of side DE, EF and FD

Length of side DE = a = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side DE = a = $=\sqrt{(5-0)^2+(1-8)^2}\\=\sqrt{(5)^2+(-7)^2}\\=\sqrt{25+49}\\=\sqrt{74}\\=8.60$

Length of side EF = b = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side EF = b = $=\sqrt{(0-5)^2+(4-1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\=5.8$

Length of side FD = c = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side FD = c = $=\sqrt{(0-0)^2+(8-4)^2}\\=\sqrt{(0)^2+(4)^2}\\=\sqrt{0+16}\\=\sqrt{16}\\=4$

so, a= 8.60, b= 5.8 and c = 4

s = a+b+c/2

s= 8.6+5.8+4/2

s= 9.2

Area of triangle= $=\sqrt{s(s-a)(s-b)s-c)}\\=\sqrt{9.2(9.2-8.6)(9.2-5.8)(9.2-4)}\\=\sqrt{9.2(0.6)(3.4)(5.2)}\\=\sqrt{97.5936}\\=9.88$

So, area of triangle is 9.88 units^2

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3 years ago

The diameter of a round rug is 42 inches. What is the approximate area of the rug?

aksik [14]

Answer:

D, It would be 1,385 Square Inches

Step-by-step explanation:

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3 years ago

Find the probalitywhen a pair of 8-sided fair die is rolled and the sum of the roll is greater than 9

Tresset [83]

Odd Numbers : 1, 3, 5, 7 = 4 numbers

Total numbers on 8-sided die = 8

P(rolling an odd number) = 4/8 = 1/2

Die is defined as ceasing to live, exist, or disappear. An example of this is pulling a plant out of the ground by its roots. An example of death is when a person's heart stops and the brain stops working. stop living; dead out.

Use ``die of'' when someone dies of direct causes. We use ``die of'' when someone died from an indirect cause. "die by" is used when someone dies from something. He died of cancer.

Learn more about die here

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1 year ago

What appears to be the scale factor used to create this dilation?

stealth61 [152]

The answer is 0.5

Just take one point from the original shape and one from the transformed one. The just write the ordered pair out. Mine was (3,4) and (1.5, 2) Now in order for you to get from 3 to 1.5 you need to multiply 0.5 so the scale factor that was used is 0.5

Pls mark Braille at

7 0

2 years ago

Read 2 more answers

What is the value of x in the equation x - y = 30, when y = 15?

igor_vitrenko [27]

Answer:

o 200

fctvtvtv

Step-by-step explanation:

O200 o200

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2 years ago

Find the greatest common factor of thefollowing monomials:12b 40b4​

Find the greatest common factor of thefollowing monomials:12b 40b4