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gregori [183]
4 years ago
8

Prove that 3:8 is equivalent to 12:32 use diagrams to support your answer. Use the description of equivalent ratios to support y

our answer
Mathematics
1 answer:
baherus [9]4 years ago
5 0
12 divided by 3 = 4

therefore both sides must be multiplied by 4

3*4 = 12
8*4 = 32

(brainliest would be appreciated)
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How do you do this problem? Please explain.
horrorfan [7]

Answer:  8.632

<u>Step-by-step explanation:</u>

First, you need to find the length of AE. Since ΔAEC is a right triangle, we can use:

sin\ C=\dfrac{AE}{AC}\\\\\\sin\ 50 = \dfrac{AE}{5}\\\\\\5\ sin\ 50=AE\\\\3.83=AE

Next, Use Heron's formula to find the Area of ΔADE.

  • AE = 3.83
  • ED = 6
  • AD = 9

Heron's formula is:

A=\sqrt{s(s-a)(s-b)(s-c)}\quad \text{where}\ s = \dfrac{a+b+c}{2}\\\\s=\dfrac{AE+ED+AD}{2}=\dfrac{3.83+6+9}{2}=\dfrac{18.83}{2}=9.415\\\\A=\sqrt{9.415(9.415-3.83)(9.415-6)(9.415-9)}\\\\.\quad=\sqrt{9.415(5.585)(3.415)(0.415)}\\\\.\quad=\sqrt{74.519}\\\\.\quad=8.632

5 0
3 years ago
What's the answer and how do I work the problem out?!!
Kobotan [32]
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3 years ago
Find X<br> A. 11√3<br> B. 33<br> C. 44√2<br> D. 33√2
igor_vitrenko [27]

Answer:

  B.  33

Step-by-step explanation:

The side opposite the 45° angle has measure 11√6×sin(45°). The side opposite the 60° angle has measure tan(60°) times that, so we have ...

  x = 11√6×sin(45°)×tan(60°) = 11√6×(√2/2)×√3 = 11×(√6)²/2

  x = 33

_____

The mnemonic SOH CAH TOA can be a useful reminder of the definitions of the trig functions. It tells you ...

  Sin = Opposite/Hypotenuse

  Tan = Opposite/Adjacent

Using these relations, we can find the sides of interest:

  Opposite = Hypotenuse × Sin . . . . for the 45° triangle

  Opposite = Adjacent × Tan . . . . . . for the 60° triangle

where the side opposite the 45° angle is the side adjacent to the 60° angle.

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3 years ago
kelly has 47 model cars. Jamal has 58 model cars. Yesterday , jamal traded 8 model cars to kelly for 14 of her cars. How many ca
lana [24]

Answer:

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