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Neko [114]
2 years ago
6

The law of cosines reduces to the Pythagorean theorem whenever the triangle is acute. true or false

Mathematics
2 answers:
inysia [295]2 years ago
6 0
False- the included angle must be a right angle for cos C to be 0 & two other points are normally used
Sholpan [36]2 years ago
3 0

Answer:

The given statement is False.

Step-by-step explanation:

Let us suppose a triangle ABC.

The law of cosine is given by

c^2=a^2+b^2-2ab\cos C

And the Pythagorean theorem is given by

c^2=a^2+b^2

Now, in order to the law of cosine to be in the form of Pythagorean theorem, we must have 2abcos C =0.

a and b can't be zero since it represent the sides of the triangle. Hence, we have

cos C= 0

thus, the value of C is 90 degrees. Hence, the triangle must be a right angle triangle.

Thus, the triangle shouldn't be acute triangle.

Therefore, the given statement is false/

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a piece of wood used for construction is 2 inches by 4 inches by 24 inches. what is the surface area of the wood
FrozenT [24]
2*2*4+2*2*24+2*4*24
16+96+192=304

304 is the answer
8 0
2 years ago
Selena is driving to visit her grandmother who lives 325 miles away from Selena home. she travels an average of 60 miles per hou
GalinKa [24]

Answer:

Step-by-step explanation:

independent quantity=60 m/h

dependent =time taken=t

60 t=325

t=325/60=65/12=5 5/12 hours

4 0
3 years ago
Brainliest to the first correct answer!
Goryan [66]

Answer:

D.

Step-by-step explanation:

You know that 0.25 went to 2.00. That means that it's a 1.75 jump. In order to jump the other two prices up and keep the ratio the same, you must also jump them 1.75.

0.05 + 1.75 = 1.80

0.10 + 1.75 = 1.85

To double check the ration we can look back on the original. 0.05 to 0.10 is a scale of 0.05. 0.10 to 0.25 is a scale of 0.15

Then we look at our new one. 1.80 to 1.85 is a scale of 0.05. 1.85 to 2.00 is a scale of 0.15.

The ratios stayed the same, so this is the correct answer.

I hope this helped :)

7 0
3 years ago
Read 2 more answers
Ratio =240cm to 400cm​
Vanyuwa [196]

Answer:

I think it's 3:5

Step-by-step explanation:

I really don't understand your question

5 0
2 years ago
an English teacher would like to divide 15 boys and 6 girls into groups each with the same combination of boys and girls and nob
tamaranim1 [39]

Answer:

7groups

Step-by-step explanation:

15+6/3=7groups

6 0
2 years ago
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