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SVEN [57.7K]
3 years ago
13

Which set of numbers forms a Pythagorean triple?

Mathematics
1 answer:
egoroff_w [7]3 years ago
6 0

Answer:

3, 4, 5

Step-by-step explanation:

3 ^2 = 9

4 ^2 = 16

5 ^2 = 25

9 + 16 = 25

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Solve the triangle.<br><br> B = 36°, a = 41, c = 20
svetoff [14.1K]

Answer:

See below

Step-by-step explanation:

When you have 2 sides and the angle between them you use the cosine theorem or law of cosines:

b^{2}=a^{2}+c^{2}-2acCos(B)

b^{2}=41^{2}+20^{2}-2(41)(20)cos36 \\b^{2}=1681 + 400-1327 \\b^{2}=754 \\b = 27.5

After you have a side and the opposed angle (side b and angle B), you use the law of sines:

\frac{a}{sinA} =\frac{b}{sinB}=\frac{c}{sinC}

I will calculate angle A first:

[tex]\frac{27.5}{sin36} =\frac{41}{sinA} \\sinA =\frac{41}{27.5} sin36 \\sin A = 0.876 \\A = 61.2\°[/tex]

Same for angle C:

\frac{27.5}{sin36} =\frac{20}{sinC} \\sinC =\frac{20}{27.5} sin36 \\sin C = 0.427 \\C = 25.3\°

The sum of the angles is 36° + 61.2° + 25.3° = 122.5°; The sum must be 180° so this isnt a triangle.

I re did the problem using B as 63° instead of 36° in case you wrote it wrong and I got a satisfactory answer.

using B = 36:

b = 36.6

angle A = 86.4°

angle C = 29.1°

A+B+C = 86.4° + 29.1° + 63° = 178.5° ~ 180°

5 0
3 years ago
Simplify the expression (6x^3/3x^4)^2<br> A. 12x^5/6x^6<br> B. 4/x^2<br> C. 2x^6/x^8<br> D. 2/x
Bess [88]
The Answer is B.
Sol: (6/3x^(3-4))^2
= (2/x)^2
=4/x^2


8 0
3 years ago
Read 2 more answers
Ms. Harlow had 56 tickets. She gave 2 tickets to each of her 21 students.
polet [3.4K]

Answer: 56 - 42

Step-by-step explanation: She gave 2 to EACH of her 21 students. So 2 * 21 = 42. 56 - 42

7 0
3 years ago
A line passes through the point (-1,5) and the point (3,5), what is the equation of the line?​
Lemur [1.5K]

Answer:

8

Step-by-step explanation:

took the test

have a nice day

mark brainlist plzzzzz

8 0
3 years ago
What is 3 2/3 rounded to the nearest half
dmitriy555 [2]

Answer:

3 \23 = 3 1\2

Step-by-step explanation:

so its 3 1\2

5 0
3 years ago
Read 2 more answers
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