All categories

2 years ago

Solve for x, need help asap!

Mathematics

1 answer:

Alexxx [7]2 years ago

4 0

Let's solve for x using trigonometric relation ( Cos )

we know,

$\cos(30 \degree) = \dfrac{base}{hypotenuse} = \dfrac{ \sqrt{3} }{2}$

now

$\dfrac{x}{8} = \dfrac{ \sqrt{3} }{2}$

$x = 8 \times \dfrac{ \sqrt{3} }{2}$

$x = 4 \sqrt{3}$

hence, the value of x is $4 \sqrt{3}$

You might be interested in

I need help plz I really need

TiliK225 [7]

Answer:

Option 3

Step-by-step explanation:

This is the same reason that Pythagorean's Theorem works. The area made up of the X and Y Regions (the squares of the two legs of the triangle) is equal to Region Z (the square of the hypotenuse)

6 0

2 years ago

National statistics show that 23% of men smoke and 18.5% of women smoke. A random sample of 175 men indicated that 45 were smoke

NeTakaya

Answer:

98% C.I. = [-0.1270, 0.0994]

Step-by-step explanation:

Here

p1= proportion of men smokers

p1= 45/175= 0.2571

p2= proportion of women smokers

p2= 42/155= 0.2709

1) Choose the significance level ∝= 0.02

2) The formula for confidence interval is

(p1^- p2^)- z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))

and

(p1^- p2^) z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))

3) The z value is 2.05

4) Calculations:

(p1^- p2^)- z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))

Putting the values

= 0.2571-0.2709)(-2.05) sqrt ( 0.2571(1-0.2571)/175+ 0.2709(1-0.2709)/155)

=-0.1270 ( using calculator)

And

(p1^- p2^)z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))

Putting the values

= 0.2571-0.2709)(2.05) sqrt ( 0.2571(1-0.2571)/175+ 0.2709(1-0.2709)/155)

=0.0994 ( using calculator)

and Putting ± 2.05 in the confidence interval formula we get limits (-0.1270, 0.0994)

6 0

2 years ago

What was the total production of gasoline and kerosene combined (in Barrels)

Elina [12.6K]

The amount of kerosene and gasoline produced is an illustration of equations.

44.4 million barrels of gasoline and kerosene are produced

Let

$x \to$ Proportion of kerosene

$y \to$ Proportion of Gasoline

So:

$x = 40\%$

$y = 34\%$

$Total = 60\ million$ ---- total barrels produced

The amount of Kerosene produced is:

$Kerosene =x \times Total$

$Kerosene =40\% \times 60\ million$

$Kerosene = 24\ million$

The amount of Gasoline produced is:

$Gasoline =y \times Total$

$Gasoline =34\% \times 60\ million$

$Gasoline =20.4\ million$

So, the total production of both is:

$Total = Kerosene + Gasolene$

$Total = 24\ million + 20.4\ million$

$Total = 44.4 million$

Hence, 44.4 million barrels of gasoline and kerosene are produced