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sasho [114]
3 years ago
5

Find the value of the variables. If your answer is not an integer, leave it in simplest radical form.

Mathematics
1 answer:
stepladder [879]3 years ago
4 0

We know that we can use trigonometry to solve for x here.

If we use tangent, we can solve for x directly:

tan(theta)=\frac{opposite}{adjacent}

tan(60)=\frac{x}{6}

6*tan(60)=x

x=6\sqrt{3}

So therefore we have solve for x, which is D) 6\sqrt{3}.

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What is the difference? Write the number. 60 - 20=
frosja888 [35]
It would be 40.

60 minus 20 = 40

Difference means subtraction
5 0
3 years ago
Read 2 more answers
Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that it forms a pile in the shap
pogonyaev

Answer:

Rate of increase in height =\frac{dh}{dt}=0.3156ft/min

Step-by-step explanation:

we know that volume of a cone is given by

V=\frac{1}{12}\pi d^{2}h

It is Given that diameter equals height thus we have

V=\frac{1}{12}\pi h^{2}h\\\\V=\frac{1}{12}\pi h^{3}

Differentiating both sides with respect to time we get

\frac{dV}{dt}=\frac{1}{12}\pi \frac{dh^{3}}{dt}\\\\\frac{dV}{dt}=\frac{1}{12}\pi(3h^{2}\frac{dh}{dt})

Applying values and solving for \frac{dh}{dt} we get

\frac{dh}{dt}=\frac{12\frac{dV}{dt}}{3\pi h^{2}}\\\\\frac{dh}{dt}=0.3156ft/min

8 0
3 years ago
Michaela works in a bank she is paid £19200 per annum how much does she get per month
Step2247 [10]

in a year she earns=19200

So in a month she earns=19200/12

=1600

So she earns 1600 every month.

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4 0
3 years ago
X-4=-11 please work problem out it’s homework need help
alisha [4.7K]

X-4=-11

move -4 to the other side

to get X by itself

sign changes from -4 to +4

X-4+4= -11+4

X= -11+4

Answer:

X= -7

5 0
3 years ago
Factor this expression and show the steps<br><br>12x^2+14x-6<br>​
Minchanka [31]

\boxed{\bold{2\left(3x-1\right)\left(2x+3\right)}}

\bold{----------------------------------}

  • \bold{Factor \ Out \ Common \ Term \ 2: \ 2\left(6x^2+7x-3\right)}

\bold{2\left(6x^2+7x-3\right)}

  • \bold{Factor \ 6x^2+7x-3: \ \left(3x-1\right)\left(2x+3\right)}

\bold{2\left(3x-1\right)\left(2x+3\right)}

\boxed{\bold{Eclipsed}}

6 0
3 years ago
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