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3 years ago

A triangle has sides of length 2, 2, and 3. Which of the following is the measure of the obtuse angle of the triangle?

Mathematics

1 answer:

kramer3 years ago

7 0

Answer:

$97.18^{\circ}$

Step-by-step explanation:

An obtuse angle in the triangle is opposite to the greatest side. The greatest side in the triangle with sides lengths 2, 2 and 3 is side with length 3. By the cosine rule,

$3^2=2^2+2^2-2\cdot 2\cdot 2\cdot \cos \alpha,\\ \\9=4+4-8\cos \alpha,\\ \\-8\cos \alpha=9-4-4=1,\\ \\\cos \alpha=-\dfrac{1}{8},\\ \\\alpha\approx 97.18^{\circ}.$

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State the domain of each function using interval notation pls show ur work!!

Serggg [28]

Answer:

(-∞ , -6] ∪ [6 , +∞)

Step-by-step explanation:

Let D be the domain of f .

D = {x ∈ IR ; where x² - 36 ≥ 0}

x² - 36 ≥ 0

⇔ x² ≥ 36

⇔ x² ≥ 6²

⇔ √(x²) ≥ √(6²)

⇔ |x| ≥ 6

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2 years ago

Solve for x. 6(x - 1) = 9(x + 2) x = -8 X = -3 X = 3 x = 8

Wewaii [24]

Answer:

$x=-8$

Step-by-step explanation:

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$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{24}{3}\\\mathrm{Divide\:the\:numbers:}\:\frac{24}{3}=8\\=-8\\$

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3 years ago

Read 2 more answers

Find the equation of the line that passes through (3,1) and is parallel to y=2x+1.

creativ13 [48]

9514 1404 393

Answer:

y = 2x -5

Step-by-step explanation:

The parallel line will differ only in the value of c. That can be found using the given point.

y = mx +c

c = y -mx . . . . . . subtract mx to solve for c

c = 1 -2·3 = -5 . . . . . . the value of m is 2 in the given equation (x, y) = (3, 1)

The equation of the parallel line is ...

y = 2x -5

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3 years ago

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cestrela7 [59]

Answer:

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Step-by-step explanation:

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Kitty [74]

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