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alex41 [277]
2 years ago
13

Find the value of x. Round your answer to the nearest tenth.​

Mathematics
2 answers:
SVEN [57.7K]2 years ago
5 0
13.9
it’s a special triangle and that side would be 8√3 which is 13.9
zmey [24]2 years ago
5 0

Answer:

c. 13.9

Step-by-step explanation:

we can work out the third angle

all angles add up to 180

90 + 30 = 120, 180 - 120 = 60

using law of sines

\frac{x}{ \sin(a) }  =  \frac{b}{ \sin(b) }

where sin(a) = 60, b = 30 and sin(b) = 30

\frac{x}{sin(60)}  =  \frac{8}{ \sin(30) }

x =  \frac{8}{sin(30)}  \times  \sin(60)

x = 13.9

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dmitriy555 [2]

Answer:

(2, - 9 )

Step-by-step explanation:

Since 2 is the output when - 9 is input to f(x)

Then reversing the procedure, that is the inverse gives an output of - 9 for an input of 2.

(- 9, 2) is a point on the graph of f(x), then

(2, - 9) is a point on the graph o the inverse function f^{-1}(x)

7 0
3 years ago
If the acceleration of an object is given by dv/dt = −2v, Find the position function s(t) if v(0) = 7 and s(0) = 0.
kirill [66]

Answer:

Step-by-step explanation:

Given that acceleration of an object is

\frac{dv}{dt} =-2v\\\frac{dv}{v} =-2dt\\ln v = -2t+C\\

is the solution to the differential equation

Since v(0) =7

we get ln 7 = C

Hence lnv = -2t+ln 7\\v=7e^{-2t}

since velocity is rate of change of distance s we have

v=\frac{ds}{dt} =7e^{-2t}\\s= [tex]s(t) =\frac{-7}{2} (e^{-2t})+C)[

substitute t=0 and s=0

C=7/2

So solution for distance is

s(t) =\frac{-7}{2} (e^{-2t}-1)

4 0
3 years ago
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18 times x = $75

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<span>3•(x•y)=(3•x)•y
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answer 
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