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2 years ago

5 1/4 written in radical form

Mathematics

1 answer:

emmainna [20.7K]2 years ago

5 0

Answer:Exact Form:

4 √ 5

Step-by-step explanation:

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What is the length of BC , rounded to the nearest tenth?

Arte-miy333 [17]

Step $1$

In the right triangle ADB

Find the length of the segment AB

Applying the Pythagorean Theorem

$AB^{2} =AD^{2}+BD^{2}$

we have

$AD=5\ units\\BD=12\ units$

substitute the values

$AB^{2}=5^{2}+12^{2}$

$AB^{2}=169$

$AB=13\ units$

Step $2$

In the right triangle ADB

Find the cosine of the angle BAD

we know that

$cos(BAD)=\frac{adjacent\ side }{hypotenuse}=\frac{AD}{AB}=\frac{5}{13}$

Step $3$

In the right triangle ABC

Find the length of the segment AC

we know that

$cos(BAC)=cos (BAD)=\frac{5}{13}$

$cos(BAC)=\frac{adjacent\ side }{hypotenuse}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{AB}{AC}$

$\frac{5}{13}=\frac{13}{AC}$

solve for AC

$AC=(13*13)/5=33.8\ units$

Step $4$

Find the length of the segment DC

we know that

$DC=AC-AD$

we have

$AC=33.8\ units$

$AD=5\ units$

substitute the values

$DC=33.8\ units-5\ units$

$DC=28.8\ units$

Step $5$

Find the length of the segment BC

In the right triangle BDC

Applying the Pythagorean Theorem

$BC^{2} =BD^{2}+DC^{2}$

we have

$BD=12\ units\\DC=28.8\ units$

substitute the values

$BC^{2}=12^{2}+28.8^{2}$

$BC^{2}=973.44$

$BC=31.2\ units$

therefore

the answer is

$BC=31.2\ units$

8 0

2 years ago

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The area of a rectangular floor is 3.5m^2, one side is 1.5m longer than the other. Calculate the dimension

USPshnik [31]

Answer:

the area= 12.25 one side =: 1.5 then the dimension then answer is 13.75

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3 years ago

Please help this is due in 10 mins

solong [7]

Answer:

138.80

Step-by-step explanation:

I took 149.99 times 15% then times that by the tax rate to get your final answer.

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2 years ago

Identify the leading coefficient in the following polynomial: – 5x² + 3x - 7

insens350 [35]

Answer:

-5

Step-by-step explanation:

The leading coefficient means the thing you're multiplying your highest power by. Here, your highest power of x is x^2, and that term's coeff. is -5, so the leading coefficient is -5.

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2 years ago

A data set is made up of these values.

AVprozaik [17]

Answer:

The answer is C. 7 - 3 = 4

Step-by-step explanation:

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2 years ago