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3 years ago

To the nearest hundredth what is the value of X

Mathematics

2 answers:

faust18 [17]3 years ago

5 0

Due To My Calculations, The Answer Is 90.16.

disa [49]3 years ago

4 0

<h2>Hello!</h2>

The answer is:

The value of "x" is 90.16

To solve the problem we need to use the trigonometric identity of the sine that establish that:

$Sin(\alpha )=\frac{OppositeSide}{Hypotenuse}$

So, we are given the following information:

$\alpha =48(degrees)\\\\OppositeSide=67$

Then, applying the trigonometric identity, we have:

$Sin(48)=\frac{67}{Hypotenuse}$

$Sin(48)=\frac{67}{Hypotenuse}\\\\Hypotenuse=\frac{67}{sin(48)}=90.157=90.16$

Hence, the value of "x" is (rounded to the nearest hundreth) 90.16.

Have a nice day!

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3 years ago

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Two dice are numbered 1,2,3,4,5,6 and 1,1,2,2,3,3 respectively. They are rolled and

Alexxx [7]

Answer:

P(2) = 1/18

P(3) = 1/9

P(4) = 1/6

P(5) = 1/6

P(6) = 1/6

P(7) = 1/6

P(8) = 1/9

P(9) = 1/18

Step-by-step explanation:

Each die has six possible outcomes, so both dice together have 6*6 = 36 outcomes:

(1,1), (1,1), (1,2), (1,2), (1,3), (1,3),

(2,1), (2,1), (2,2), (2,2), (2,3), (2,3),

(3,1), (3,1), (3,2), (3,2), (3,3), (3,3),

(4,1), (4,1), (4,2), (4,2), (4,3), (4,3),

(5,1), (5,1), (5,2), (5,2), (5,3), (5,3),

(6,1), (6,1), (6,2), (6,2), (6,3), (6,3).

The sum of the values for each outcome is:

2, 2, 3, 3, 4, 4,

3, 3, 4, 4, 5, 5,

4, 4, 5, 5, 6, 6,

5, 5, 6, 6, 7, 7,

6, 6, 7, 7, 8, 8,

7, 7, 8, 8, 9, 9.

To find the probability of each sum, we just need to divide the number of times this sum appears over the total number of possibilities (36), so we have:

P(2) = 2/36 = 1/18

P(3) = 4/36 = 1/9

P(4) = 6/36 = 1/6

P(5) = 6/36 = 1/6

P(6) = 6/36 = 1/6

P(7) = 6/36 = 1/6

P(8) = 4/36 = 1/9

P(9) = 2/36 = 1/18

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3 years ago

Which choices are solutions to the following equations x^2+8x-2=18

Olin [163]

Answer:

-4 ± 2√6

Step-by-step explanation:

Rewritten in standard quadratic form, x^2+8x-2=18 becomes x^2 + 8x - 20 = 0.

Here the quadratic coefficients are a = 1, b = 8 and c = -20 and so the discriminant is b^2 - 4ac, or 8^2 - 4(1)(-20), or 96.

Because the discriminant is positive, we know that this quadratic has two different real roots. These roots are:

-b ± √(b² - 4ac)

x = -------------------------

which in this case comes out to:

-8 ± √96 -8 ± 4√6

x = ------------------ = ------------------- = -4 ± 2√6

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2 years ago

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Step-by-step explanation:

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3 years ago