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sergeinik [125]
3 years ago
10

PYTHAGORAS THEROM AND TRIGONOMETRY RATIO​

Mathematics
1 answer:
marysya [2.9K]3 years ago
7 0

Answer:

1) ΔACD is a right triangle at C

=> sin 32° = AC/15

⇔ AC = sin 32°.15 ≈ 7.9 (cm)

2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:

AB² = AC² + BC²

⇔ AB² = 7.9² + 9.7² = 156.5

⇒ AB = 12.5 (cm)

3)  ΔABC is a right triangle at C

=> sin ∠BAC = BC/AB

⇔ sin ∠BAC = 9.7/12.5 = 0.776

⇒ ∠BAC ≈ 50.9°

4) ΔACD is a right triangle at C

=> cos 32° = CD/15

⇔ CD = cos32°.15

⇒ CD ≈ 12.72 (cm)

Step-by-step explanation:

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3 years ago
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kotegsom [21]

Answer:

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Step-by-step explanation:

we want to find the surface area of the cylinder

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height = 40in

formula to find surface area of a cylinder: SA = 2πr^2 + 2πrh (where h = height and r = radius)

in order to find the SA of a cylinder we need to know the radius

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we can acquire the measure of the radius by dividing the diameter by 2 ( this is because the radius is equal to half of the diameter )

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6 0
3 years ago
-34 + 52 + -18 (Intergers!!)
enyata [817]
We need to follow PEMDAS

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3 0
3 years ago
Please help! 30 points ((:
KiRa [710]

Hello from MrBillDoesMath!

Answer:

a = 2.7

Discussion:

(2/3) ( 6a + 9 )  = 16.8         => the Distributive law

(2/3) (6a) + (2/3)9 = 16.8    =>

4a              + 6         = 16.8   => subtract 6 from both sides

4a                             = 16.8 -6 = 10.8     (divide both sides by 4)

a  = 10.8/4

   = 2.7

Thank you,

MrB

4 0
3 years ago
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3 years ago
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