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Paha777 [63]
3 years ago
6

Trigonometry

Mathematics
2 answers:
schepotkina [342]3 years ago
5 0

The area of the triangle ABC is 207.5 square units.

Explanation:

The measurements of the sides of the triangle are AB=19, AC=24 and m\angle A=65^{\circ}

We need to determine the area of the triangle ABC.

<u>Area of the triangle:</u>

The area of the triangle can be determined using the formula,

{Area}=\frac{1}{2} b c \sin A

where b=19, c=24 and m\angle A=65^{\circ}

Substituting these values in the above formula, we get,

{Area}=\frac{1}{2}(19)(24)  \sin 65^{\circ}

Simplifying the values, we get,

{Area}=\frac{1}{2}(456) (0.91)

{Area}=\frac{1}{2}(414.96)

{Area}=207.48

Rounding off to the nearest tenth, we get,

{Area}=207.5

Thus, the area of the triangle ABC is 207.5 square units.

svlad2 [7]3 years ago
5 0

Answer:

206.6 units²

Step-by-step explanation:

Area = ½ × AB × AC × sin(A)

= ½ × 19 × 24 × sin(65)

= 206.6381754444

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Answer:

B.  1/(3xy^3)

Step-by-step explanation:

The minus sign can be dealt with first, then the root taken.

\left(9x^{2}y^{6}\right)^{-\frac{1}{2}}=\dfrac{1}{\sqrt{9x^{2}y^{6}}}\\\\=\dfrac{1}{\sqrt{9}\sqrt{x^2}\sqrt{y^6}}=\dfrac{1}{3xy^3}

8 0
3 years ago
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gulaghasi [49]

Answer:

1/61.8 its right valu of x

Step-by-step explanation:

here we find the first valu and second is also same but there isx so cross the eqal side and get same answer

4 0
3 years ago
I need help with Multiplication Properties of Exponents desperately!! I've tried to solve both problems repeatedly and I cannot
Yuliya22 [10]

Answer:

1) x= -36.

2) x = 0.

Step-by-step explanation:

1) Taking the 3rd power to both sides and using the following exponent law:

\left(a^b\right)^c = a^{bc}

we get:

\left(\left(m^{x}\right)^{\frac{1}{3}}\right)^3 = \left(m^{-12}\right)^3 \\ m^x = m^{-36}

So this tells us that x = -36.

2) We can distribute the power inside every term. So the left side becomes:

\left(3x^3y^x\right)^3 = 3^3\left(x^3)^3y^{3x} = 27x^9y^{3x}

Now, the trick here is to remember that y^0 = 1, so replacing 1 with y^0, which then gives us:

27x^9y^{3x} = 27x^9y^{0}, telling us that 3x = 0 and thus, x = 0.

7 0
3 years ago
This season, the probability that the Yankees will win a game is 0.61 and the
zhannawk [14.2K]

The probability that the Yankees will lose when they score fewer than 5 runs is 17.16%.

<h3><u>Probability </u></h3>

Given that this season, the probability that the Yankees will win a game is 0.61 and the probability that the Yankees will score 5 or more runs in a game is 0.56, and the probability that the Yankees win and score 5 or more runs is 0.44, to determine what is the probability that the Yankees will lose when they score fewer than 5 runs the following calculation must be made:

  • 1 - 0.61 = 0.39
  • 1 - 0.56 = 0.44
  • 0.39 x 0.44 = X
  • 0.1716 = X

Therefore, the probability that the Yankees will lose when they score fewer than 5 runs is 17.16%.

Learn more about probability in brainly.com/question/11234923

#SPJ1

6 0
2 years ago
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aliina [53]

Answer:

MAGNITUDE

Step-by-step explanation:

4 0
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