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Andreas93 [3]
3 years ago
14

Are these scalene triangles similar?

Mathematics
1 answer:
AnnZ [28]3 years ago
8 0
Yes! pretty sure they are
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bekas [8.4K]

Answer:

The answer is C.

Step-by-step explanation:

Hit 'em with the Law of Sines.

sin(A)/a = sin(B)/b.

Let's say x is equal to "A", thus 5 is "a".

sin(x)/5 = sin(B)/b.

We could go for the obvious choice for "B", which would be the 90 degrees shown. To solve for the hypotenuse which will be "b", let's use the Pythagorean Theorem:

a^2 + b^2 = c^2

5^2 + 20^2 = c^2

25 + 400 = 425

sqrt(425) = about 20.6, which we can now substitute "b" with.

sin(x)/5 = sin(90)/20.6

sin(x)/5 = 1/20.6

sin(x)/5 = 0.04854...

sin(x) = 0.2427...

You can plug in sin^-1(0.2427) into your calculator, and you should end up with something like 14.047... which equates to answer choice C.

6 0
3 years ago
What is the prime factor of 8
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Prime factor is a factor that is a prime number.
Prime factors of :
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12 : 2 × 2 × 3. Also can be written as
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20 : 2 × 2 × 5. Also can be written as
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30 : 2 × 3 × 5

56 : 2 × 2 × 2 ×7. Also can be written as
{2}^{3} \times 7

70 : 2 × 5 × 7

You can find all of them by using Factor Tree [ as shown in the picture] or Dividing by prime numbers.

5 0
3 years ago
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