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3 years ago

9

Which system of inequalities does the graph represent?

1 answer:

SSSSS [86.1K]3 years ago

3 0

Answer:system of linear equalities in one variable .

Step-by-step explanation:

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erma4kov [3.2K]

Answer:

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Step-by-step explanation:

a clockwise rotation 90 degrees results in a transformation like this:

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3 years ago

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Semmy [17]

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3 years ago

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gregori [183]

Answer: 35 apples are ripe and rest i.e 21 apples are not.

Step-by-step explanation:

5/8 of 56 apples are ripe i.e 35 apples are ripe and the rest 56-35 apples are not.

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2 years ago

Read 2 more answers

A right circular cylinder is inscribed in a sphere with diameter 4cm as shown. If the cylinder is open at both ends, find the la

SOVA2 [1]

Answer:

$8\pi\text{ square cm}$

Step-by-step explanation:

Since, we know that,

The surface area of a cylinder having both ends in both sides,

$S=2\pi rh$

Where,

r = radius,

h = height,

Given,

Diameter of the sphere = 4 cm,

So, by using Pythagoras theorem,

$4^2 = (2r)^2 + h^2$ ( see in the below diagram ),

$16 = 4r^2 + h^2$

$16 - 4r^2 = h^2$

$\implies h=\sqrt{16-4r^2}$

Thus, the surface area of the cylinder,

$S=2\pi r(\sqrt{16-4r^2})$

Differentiating with respect to r,

$\frac{dS}{dr}=2\pi(r\times \frac{1}{2\sqrt{16-4r^2}}\times -8r + \sqrt{16-4r^2})$

$=2\pi(\frac{-4r^2+16-4r^2}{\sqrt{16-4r^2}})$

$=2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})$

Again differentiating with respect to r,

$\frac{d^2S}{dt^2}=2\pi(\frac{\sqrt{16-4r^2}\times -16r + (-8r^2+16)\times \frac{1}{2\sqrt{16-4r^2}}\times -8r}{16-4r^2})$

For maximum or minimum,

$\frac{dS}{dt}=0$

$2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})=0$

$-8r^2 + 16 = 0$

$8r^2 = 16$

$r^2 = 2$

$\implies r = \sqrt{2}$

Since, for r = √2,

$\frac{d^2S}{dt^2}=negative$

Hence, the surface area is maximum if r = √2,

And, maximum surface area,

$S = 2\pi (\sqrt{2})(\sqrt{16-8})$

$=2\pi (\sqrt{2})(\sqrt{8})$

$=2\pi \sqrt{16}$

$=8\pi\text{ square cm}$

4 0

3 years ago

Solve the following formula for t. F=J+Jrt

kherson [118]

First, we separate all instances of t by subtracting J from both sides:

F = J + Jrt
F - J = Jrt

Then, we separate the t by dividing both sides by Jr:

$\frac{f - j}{jr} = t$
Therefore, t is equal to (F - J) ÷ Jr

8 0

3 years ago