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2 years ago

How do I solve this equation ???

Mathematics

1 answer:

Anastaziya [24]2 years ago

8 0

To solve for the variable $b$ , we have to make it alone. The first thing we do is add $6.5$ to both sides of the equation:

$13.7b-6.5+6.5=-2.3b+8.3+6.5\\13.7b=-2.3b+14.8$

Now add $2.3$ to both sides:

$13.7b+2.3b=-2.3b+14.8+2.3b\\16b=14.8$

Finally, divide both sides by 16 to get the final answer:

$\frac{16b}{16} =\frac{14.8}{16}$

Therefore,

$b=0.3$

Hope this helps!

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The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of

kompoz [17]

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

$A=\frac{\sqrt{3} }{4} a^{2}$

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

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$A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}$

Triangle DEF is 20% smaller than the original, which means its side is:

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So, area is

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$A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}$

Now, comparing areas:

$\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )$

$\frac{A_{1}}{A_{2}} =$ 2.25

The area of ΔABC is 2.25x greater than the area of ΔDEF.

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2 years ago

Please helme guys.....

vesna_86 [32]

Sorry this took so long! I managed to do everything except for the parts involving standard deviation. (I tried but I couldn't quite figure it out.)

~Hope this helps!~

Download xlsx

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