Ask question

Ask question

All categories

3 years ago

9

Find the value of x by using law of sines.

1 answer:

Pavel [41]3 years ago

3 0

Answer:

x = 7.7

Option B

Step-by-step explanation:

$\frac{a}{Sin~A} &=& \frac{b}{Sin~b} \\ \frac{8}{Sin~73^\circ} &=& \frac{x}{Sin~67^\circ} \\ \frac{8}{0.96} &=& \frac{x}{0.92} \\ 0.96x &=& 8 \times 0.92 \\ 96x &=& 8 \times 92 \\ 96x &=& 736 \\ x &=& \frac{736}{96} \\ x&=& \frac{23}{3} \\ &\boxed{x=7.7}&$

∴ value of x is 7.7

You might be interested in

0.0638 rounded to the nearest thousandth?

Gnom [1K]

<h2>Answer:</h2><h2>0.06</h2><h2>Hope this helps!!</h2>

3 0

3 years ago

Select the equivalent expression.<br> (6-4.8-7)-°<br> -2

dalvyx [7]

I think the answer is -7.8

4 0

3 years ago

A fair die is rolled 10 times. Find the expected value of:a) the sum of the numbers in the ten rolls;b) the number of multiples

velikii [3]

Answer:

a) 3.5

b) 3.33

c) $6 - 6\left(\begin{array}{ccc}5\\6\end{array}\right)^{10}$

Step-by-step explanation:

As given,

A fair die is rolled 10 times

a)

Expected value of Sum of the number in 10 rolls = $\frac{1}{6}(1+2+3+4+5+6) = \frac{21}{6}$

= 3.5

∴ we get

Expected value of Sum of the number in 10 rolls = 3.5

b)

Ley Y : number of multiples of 3

Y be Binomial

Y - B(n = 10, p = $\frac{2}{6}$ )

Now,

Expected value = E(Y) = np = 10× $\frac{2}{6}$ = 3.33

c)

Let m = total number of faces in a die

⇒m = 6

As die is roll 10 times

⇒n = 10

Now,

Let Y = number of different faces appears

Now,

Expected value, E(Y) = m - m $\left(\begin{array}{ccc}m-1\\m\end{array}\right)^{n}$

= $6 - 6\left(\begin{array}{ccc}6-1\\6\end{array}\right)^{10} = 6 - 6\left(\begin{array}{ccc}5\\6\end{array}\right)^{10}$

5 0

3 years ago

-1/2 ^5 =<br><br> Solve as a Fraction

Oksanka [162]

Answer:

-1/32

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Use slope-intercept form to write the equation of a line

Korvikt [17]

Answer:

y=-3x-2

Step-by-step explanation:

There is enough information to make a point-slope form equation that which we can convert into slope-intercept form.

Point-slope form is: $y-y_1=m(x-x_1)$

We are given the slope of -3 and the point of (1,-5).

$y-y_1=m(x-x_1)\rightarrow y+5=-3(x-1)$

Convert into Slope-Intercept Form:

$y+5=-3(x-1)\\y+5-5=-3(x-1)-5\\\boxed{y=-3x-2}$

8 0

3 years ago