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3 years ago

Find the length of the short leg of a 30-60-90 triangle if the long leg is 3cm

Mathematics

1 answer:

antoniya [11.8K]3 years ago

7 0

Answer:

Short leg = √3 cm

Step-by-step explanation:

the opposite angle of long leg is 60°

hypotenuse : x

sin 60° = 3/x = √3 / 2

x = (3 x 2) / √3 = 2√3

short leg length (s)

Cos 60° = 1/2 = s / x = s / 2√3

s = √3

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A group of friends are at a baseball game and are purchasing souvenirs. Dustin purchased 5 t-shirts and 1 baseball cap, spending

Inessa [10]

Answer:

Shirt-$19

Cap-$24

Step-by-step explanation:

5s+1c=119

1s+1c=43

1c=43-1s

substitute:

5s+(43-1s)=119

5s+43-1s=119

4s=119-43

4s=76

1s=19

substitute:

1c=43-(19)

1c=24

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3 years ago

Could someone answer these 3 for me?

KengaRu [80]

Answer:

x=4.77

Angle 3=98.32 degrees

Angle 6= 81.68 degrees

Step-by-step explanation:

(Assuming these are parallel lines), Angle 3 and angle 5 are equal because they are alternate Angles. Therefore we can write the following equation to solves for x:

16x+22=3x+84 (angle 3=angle5)

Which we can now solve:

16x +22 - 22 - 3x=3x-3x+84-22

13x=62

13x/13=62/13

x=4.77 (2dp)

We can then use this x to calculate angle 3:

16(4.77)+22

76.33+22=98.32 degrees

Finally,

Angle 6 and angle 3 are interior angles, so they add up to 180 degrees.

So to find angle 6,we can just subtract angle 3 from 180:

180-98.32=81.68 degrees.

Hope this helped!

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3 years ago

A TV production warehouse can assemble 120 TV’s in 4 hours. How long does it

nirvana33 [79]

$\huge\boxed{2\ \text{minutes}}$

First, convert the number of hours to minutes.

$4*60=240$

Now, divide by the number of TVs assembled in that time.

$240\div 120=\boxed{2}$

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2 years ago

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kotegsom [21]

Asnwer:
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3 years ago

Read 2 more answers