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3 years ago

Graph the solution to the following linear inequality in the coordinate plane. 2x + y > 4

Mathematics

2 answers:

Sveta_85 [38]3 years ago

7 0

Answer:

Step-by-step explanation:

tankabanditka [31]3 years ago

3 0

Answer:

Please refer to the attachment

Hope it helps

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Thank you

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The area of a square is 64n36 square units. What is the side length of one side of the square?

storchak [24]

Answer:

Step-by-step explanation:

Since the formula for the area of a square is A = x^2, where x is the side length, x = √A.

If A = 64 square units, the side length is √64 units (8 units)

If A = 36 square units, that length is √36 units (6 units)

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3 years ago

When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a ra

Sergeu [11.5K]

Answer:

$r=\sqrt{10}\text{ m}$

Step-by-step explanation:

We have been given that when a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. We are asked to find the approximate radius of tank in meters.

We will use volume of cylinder formula to solve our given problem as:

$V=\pi r^2h$ , where,

r = Radius,

h = Height of cylinder.

Since the level of water in the tank rises at a rate of 0.7 meters per hour, so height of cylinder would be $h = 0.7$ meters at $V=22\text{ m}^3$ .

Upon substituting these values in above formula, we will get:

$22\text{ m}^3=\frac{22}{7}\cdot r^2(0.7\text{ m})$

$22\text{ m}^3=\frac{22}{10}\cdot r^2\text{ m}$

$\frac{10}{22}\cdot\frac{22\text{ m}^3}{\text{m}}=r^2$

$r^2=\frac{10}{22}\cdot\frac{22\text{ m}^3}{\text{m}}$

$r^2=10\text{ m}^2$

Now, we will take positive square root of both sides as radius cannot be negative.

$\sqrt{r^2}=\sqrt{10\text{ m}^2}$

$r=\sqrt{10}\text{ m}$

Therefore, radius of tank would be approximately square root of 10 m.

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3 years ago