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3 years ago

When p = 12, t = 2, and s=1/6, r= 18. Ifr varies directly with p and inversely with the product of s and t, what is the

Mathematics

1 answer:

den301095 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

Cause it is

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20 POINTS!!!

notka56 [123]

$\dfrac{2}{\sqrt3\cos x+\sin x}=\sec\left(\dfrac{\pi}{6}-x\right)\\\\\dfrac{2}{\sqrt3\cos x+\sin x}=\dfrac{1}{\cos\left(\dfrac{\pi}{6}-x\right)}\ \ \ \ \ (*)\\----------------\\\\\cos\left(\dfrac{\pi}{6}-x\right)\ \ \ \ |\text{use}\ \cos(x-y)=\cos x\cos y+\sin x\sin y\\\\=\cos\dfrac{\pi}{6}\cos x+\sin\dfrac{\pi}{6}\sin x=\dfrac{\sqrt3}{2}\cos x+\dfrac{1}{2}\sin x=\dfrac{\sqrt3\cos x+\sin x}{2}\\------------------------------$

$(*)\\R_s=\sec\left(\dfrac{\pi}{6}-x\right)=\dfrac{1}{\cos\left(\dfrac{\pi}{6}-x\right)}=\dfrac{1}{\dfrac{\sqrt3\cos x+\sin x}{2}}\\\\=\dfrac{2}{\sqrt3\cos x+\sin x}=L_s$

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3 years ago

Read 2 more answers

How do you simplify the radical: square root of 28

Lilit [14]

Answer:

√

Rewrite

⋅

Tap for more steps...

√

⋅

Pull terms out from under the radical.

√

The result can be shown in both exact and decimal forms.

Exact Form:

√

Decimal Form:

5.29150262

…

Step-by-step explanation:

3 0

3 years ago

The price of gold rose from $790 per ounce to $860 per ounce what percent increase does this amount represent round to the neare

neonofarm [45]

There’s so many number

8 0

3 years ago

Whats the volume of the cylinder? Round your answer to the nearest hundred the top is B the left side of the cylinder is 13cm th

Wittaler [7]

Answer:

The volume of the cylinder is 163.3 m³.

Step-by-step explanation:

Given that,

Height = 13 cm

Base = 4 cm

So, radius = 2 cm

We need to calculate the volume of the cylinder

Using formula of cylinder

$V=\pi r^2h$

Where, r = radius

h = height

Put the value into the formula

$V=\pi\times(2)^2\times13$

$V=163.3\ cm^3$

Hence, The volume of the cylinder is 163.3 cm³.

6 0

3 years ago

Help on how to figure this out

MakcuM [25]

6/3 = 6 divided by 3
= 2

12/6= 12 divided by 6
= 2

3 0

3 years ago