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2 years ago

Probability ----------------

Mathematics

1 answer:

NISA [10]2 years ago

6 0

Step-by-step explanation:

P(W^c) = 1-3/5

=5-3/5 =2/5

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The amount of time it takes an ice cube to melt varies inversely to the air temperature. At 30 degrees Celsius, the ice will mel

Anon25 [30]

Answer:

hope this helps A block of ice melts in 2.5 hours when the temperature is 54 degrees.

Step-by-step explanation:therefore you can increase 2.5 and decrease 54 to whatever number you need

4 0

2 years ago

Trigonometry lesson. Find X and Y

noname [10]

Answer:

12 =x

20.78460969=y

Step-by-step explanation:

sin theta = opposite side / hypotenuse

sin 60 = y /24

Multiply each side by 24

24 sin 60 = y/24*24

24 sin 60 =y

20.78460969=y

cos theta = adjacent side / hypotenuse

cos 60 = x /24

Multiply each side by 24

24*cos 60 = x/24*24

24 cos 60=x

12 =x

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2 years ago

Jia is tiling a floor. The floor is a square with side

NNADVOKAT [17]

Answer:

36 tiles

Step-by-step explanation:

First, find area of the square floor knowing the formula as;

Area= $s^{2}$

where s= side of a square.

If one side of the floor is 12 feet, then Area= $12^{2} = 144ft^{2}$

Next, find the area of each tile using the same formula and given s=2 feet;

Area(tile) = $2^{2} = 4ft^{2}$

To find the number of tiles needed to cover entire floor, divide area of the floor by area of one tile; 144 / 4 = 36 tiles

5 0

2 years ago

General solutions of sin(x-90)+cos(x+270)=-1<br> {both 90 and 270 are in degrees}

mixer [17]

Answer:

$\left[\begin{array}{l}x=2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{2}+2\pi k,\ k\in Z\end{array}\right.$

Step-by-step explanation:

Given:

$\sin (x-90^{\circ})+\cos(x+270^{\circ})=-1$

First, note that

$\sin (x-90^{\circ})=-\cos x\\ \\\cos(x+270^{\circ})=\sin x$

So, the equation is

$-\cos x+\sin x= -1$

Multiply this equation by $\frac{\sqrt{2}}{2}:$

$-\dfrac{\sqrt{2}}{2}\cos x+\dfrac{\sqrt{2}}{2}\sin x= -\dfrac{\sqrt{2}}{2}\\ \\\dfrac{\sqrt{2}}{2}\cos x-\dfrac{\sqrt{2}}{2}\sin x=\dfrac{\sqrt{2}}{2}\\ \\\cos 45^{\circ}\cos x-\sin 45^{\circ}\sin x=\dfrac{\sqrt{2}}{2}\\ \\\cos (x+45^{\circ})=\dfrac{\sqrt{2}}{2}$

The general solution is

$x+45^{\circ}=\pm \arccos \left(\dfrac{\sqrt{2}}{2}\right)+2\pi k,\ \ k\in Z\\ \\x+\dfrac{\pi }{4}=\pm \dfrac{\pi }{4}+2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{4}\pm \dfrac{\pi }{4}+2\pi k,\ \ k\in Z\\ \\\left[\begin{array}{l}x=2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{2}+2\pi k,\ k\in Z\end{array}\right.$

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2 years ago

Find the ordinary interest on a loan of $11,000.00 at 7.0% annually for 92 days.

Lisa [10]

someone hurry i also need help on this question!

3 0

2 years ago