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3 years ago

What is the length of segment AB

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

8 0

Answer: $\large \boldsymbol {C) \ AB=\sqrt{41} }$

Step-by-step explanation:

The formula for the distance between points:

$\bf AB= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
Coordinates of point A (0;5 ); coordinates of point B(4;0)
$\bf AB= \sqrt{(0-4)^2+(5-0)^2} =\sqrt{16+25} =\sqrt{41}$

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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

$A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}$

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

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

a₂ = 0.8a

So, area is

$A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}$

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

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.

7 0

3 years ago

Name the property illustrated. 6 + 4 + 3 = 6 + 3 + 4

Iteru [2.4K]

Commutative property states that order does not matter. Multiplication and addition are commutative. Related Links: Properties. Associative, Distributive and commutative properties.

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3 years ago

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Korolek [52]

$260

I don’t know what model/formula you are supposed to be using.

But what I did first was calculated what 30% of 2700$ is.
2700 x .3 = 810

So it depreciates $810 per year.

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3 years ago

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umka21 [38]

Answer:

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Step-by-step explanation:

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The point estimate for the web browsing battery life of the iPad is: 12.5 hours

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3 years ago

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Tema [17]

Answer:

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Step-by-step explanation:

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3 years ago