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natima [27]
2 years ago
8

Solve in PEMDAS: 3 + [2 + 3 X (6 X 3)]

Mathematics
1 answer:
sladkih [1.3K]2 years ago
3 0
The answer should be 59
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Find the slant height of this square pyramid 6 inches on each side
tensa zangetsu [6.8K]
Are you saying the side is 6 inches? ie lenght of the base. i just dont think u have enough data there to work this out?
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3 years ago
Selecting 2 fully charged batteries in a row from a large batch in which 6 ​% of the batteries are dead
Xelga [282]
The probability of s<span>electing 2 fully charged batteries in a row from a large batch in which 6% of the batteries are dead is given by:

P(2)=(1-0.06)^2=(0.94)^2=0.8836</span>
8 0
3 years ago
Solve using algebraic equation: <br> 5sin2x=3cosx<br><br> (No exponents)
DaniilM [7]
5\sin2x=3\cos x\iff10\sin x\cos x=3\cos x

by the double angle identity for sine. Move everything to one side and factor out the cosine term.

10\sin x\cos x=3\cos x\iff10\sin x\cos x-3\cos x=\cos x(10\sin x-3)=0

Now the zero product property tells us that there are two cases where this is true,

\begin{cases}\cos x=0\\10\sin x-3=0\end{cases}

In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of \dfrac\pi2, so x=\dfrac{(2n+1)\pi}2 where n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}

which occurs twice in the interval [0,2\pi) for x=\arcsin\dfrac3{10} and x=\pi-\arcsin\dfrac3{10}. More generally, if you think of x as a point on the unit circle, this occurs whenever x also completes a full revolution about the origin. This means for any integer n, the general solution in this case would be x=\arcsin\dfrac3{10}+2n\pi and x=\pi-\arcsin\dfrac3{10}+2n\pi.
6 0
3 years ago
-3x - 3y = 3 <br> y= -5x - 17
Kruka [31]

you first plug (substitute) in y

-3x - 3(-5x-17)=3

then distribute

-3x+15x+51=3

now combine like terms

12x+51=3

subtract to get 12x by itself

12x=3-51 or 12x=-48

lastly divide by 12 to find x

12x/12=-48/12

x=-4

now find y by plugging x into the other equation

y=-5(-4)-17

y=3

(-4,3)

4 0
3 years ago
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