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noname [10]
3 years ago
10

Determine the measure of x, to the nearest tenth of a degree.

Mathematics
2 answers:
Masteriza [31]3 years ago
4 0

Answer:

About 73 degrees

Step-by-step explanation:

By the law of cosines:

26^2=11^2+27^2-2(11)(27)\cos(x) \\\\\\676=121+729-594\cos(x) \\\\\\-174=-594\cos(x) \\\\\\\cos(x)= 0.\overline{29} \\\\\\x\approx 73.0^{\circ}

Hope this helps!

coldgirl [10]3 years ago
3 0

Answer:

73 degrees

Step-by-step explanation:

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For which pairs of function is (f x g ) (x) = 12x
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Find the missing x- and y-values and Pythagorean triples can be generated using the identity given. Write the triple in parenthe
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The complete question is:

Find the missing x- and y-values and Pythagorean triples using the identity given:

(x² - y²)² + (2xy)² = (x² + y²)²

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Y Value: 3

Pythagorean Triples: ?

X Value: 5

Y Value: ?

Pythagorean Triples: (9,40,41)

X Value: ?

Y Value: 3

Pythagorean Triples: (27,36,45)

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Pythagorean Triples: ?

Step-by-step explanation:

Pythagorean triples are three numbers p, q, r, that satisfy Pythagoras' theorem.

That is, they are numbers such that

r² = p² + q².

Given the identity

(x² - y²)² + (2xy)² = (x² + y²)²

We can say tha

p = x² - y²

q = 2xy

r = x² + y²

Now, let us use this to solve the given problems.

X Value: 4

Y Value: 3

p = 4² - 3² = 7

q = 2×3×4 = 24

r = 3² + 4² = 25

Pythagorean Triples: (7,24,25)

X Value: 5

Y Value: ? = (4)

q = 2xy = 40

2×5×y = 40

y = 40/10 = 4

Pythagorean Triples: (9,40,41)

X Value: ? = (6)

Y Value: 3

2xy = q = 36

2×3×x = 36

x = 36/6 = 6

Pythagorean Triples: (27,36,45)

X Value: 7

Y Value: 5

p = 7² - 5² = 24

q = 2×7×5 = 70

r = 7² + 5² = 74

Pythagorean Triples: ? = (24,70,74)

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Step-by-step explanation:

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