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3 years ago

Find the length and surface area.Width = 2Height = 12Volume = 240

Mathematics

1 answer:

blondinia [14]3 years ago

6 0

Answer:

Length: 10

Surface Area: 20

Step-by-step explanation:

Length:

2*12=24

240/24=10

Surface Area:

2*10=20

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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

$BC=31.2\ units$

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3 years ago

Read 2 more answers

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lara31 [8.8K]

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1: 10x-5

2: 6.5w-3y

3: 15+3n

4: not sure

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2 years ago

The Blue devils had won 37.5 games. they had played 24 games altogether. how may games had they won?

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The Blue Devils are trying to sell us a bridge and a bill of goods.
But we are sharp, and we are not falling for their story.

We are smart enough to spot two glaring weaknesses in their story.

1). There is no way to win .5 of a game.

2). There is no way to win 37 games if you've
only played 24 so far.

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3 years ago

The area of a round table in Kim’s living room is 201 square inches. What is the circumference of the round table, to the neares

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3 years ago

(1+1/3)^2-2/9 PLS HELPPPP MEEEE

Amiraneli [1.4K]

Answer:

14/9 or 1.555556

Step-by-step explanation:

1) Simplify 1 + 1/3 to 4/3.

(4/3)^2 - 2/9

2) Use Division Distributive Property: (x/y)^a = x^a/y^a.

4^2/3^2 - 2/9

3) Simplify 4^2 to 16.

16/3^2 - 2/9

4) Simplify 3^2 to 9.

16/9 - 2/9

5) Simplify.

14/9

(Decimal form: 1.555556)

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1 year ago

Find the length and surface area.Width = 2Height = 12Volume = 240​

Find the length and surface area.Width = 2Height = 12Volume = 240