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Rom4ik [11]
4 years ago
13

Given a 30-60-90 triangle whose shortest leg is 3 centimeters what is the length of the hypotenuse

Mathematics
1 answer:
Neporo4naja [7]4 years ago
8 0

the lenght of the hypotenuse is determined either by taking into account sin 30, respectively sin60 and/or cos60, respectively cos30.

Sin 30 = cos60=1/2

the opposite line to the 30 degrees angle is (in this case) called "the shortest leg"

Therefore the value of the hypothenuse is 30×2=60mm

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Answer:

How many miles does he ride his bike there and back?

6 miles.

What information is extra?​

The hour at which he leaves his house.

Step-by-step explanation:

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Then he rides 3 miles from his house to his friend's house, and another 3 miles from his friend's house to his house.

So he rides 3 miles both times, if we add that, we get:

3 miles + 3 miles = 6 miles

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6 miles.

And to answer the other question, we need to look at the given information that we did not use in this calculation. In this case, is the hour at which he leaves his house.

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allochka39001 [22]

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8 0
3 years ago
Can someone please help me
Readme [11.4K]
Surface Area of the figure is 1208 square centimeters
a=20
b=13
c=12
d=5
e=8
Top face:
A1=a×e=20×8
ae=160
Bottom face:
A2(a+2d)×e=(20+2×5)×8=(20+10)×8=30×8
(a+2d)e=240
Front face:
Rectangle
a×c=20×12=240
Triangle:
12c×d=12×12×5=6×5=30
A3Rectangle +2 triangles
240+2×30=240+60=300
(a+d)c=300
Slant face:
A4=b×e=13×8=104
be=104
Total surface area
A=A1+A2+2(A3+A4)
A1=160
A2=240
A3=300
A4=104
Thus,
A=160+240+2(300+104)
A=400+2(404)
A=400+808=1208
Surface Area of the figure is 1208 square centimeters


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