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3 years ago

8

In which quadrant does the ordered pair (5, -6) lie?

2 answers:

guajiro [1.7K]3 years ago

5 0

The coordinate (5,-6) lies in the fourth coordinate, because the first is x positive y positive, the second is x negative and y positive, the third is x negative and y negative, and the fourth is x positive y negative. This is x positive y negative, so it is in the fourth quadrant.

nignag [31]3 years ago

5 0

The bottom right hand quadrant (quadrant #4 in Algebraic terms)

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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.

5 0

2 years ago

Frank’s family is going on vacation. Their trip is a total of 465.8 miles. On Monday they drive 157.4 miles, and on Tuesday they

statuscvo [17]

Answer:

118.8

Step-by-step explanation:

4 0

3 years ago

Three people share half a pizza evenly. What fractional part of the original pizza does each one get?

beks73 [17]

Answer:

The fractional part of the original pizza is $\frac{1}{6}$

Step-by-step explanation:

Let

x-----> the original pizza (complete pizza)

we know that

Half a pizza represent ------> $\frac{x}{2}$

Divide half a pizza by three people

$(\frac{x}{2})/3=\frac{x}{6}$

therefore

The fractional part of the original pizza is $\frac{1}{6}$

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3 years ago

at a summer camp there are 50 girls out of 80. what is this ratio wrottwn as a fraction in simplest form

omeli [17]

50/80, then divide it by ten so the answer is 5/8. Once the number can divide both numbers your good.

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3 years ago

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deff fn [24]

3/4 < 33/40 because 30/40 < 33/40

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3 years ago

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