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3 years ago

Draw two lines with a slope of 1 / 2. What do you notice about the lines?

Mathematics

2 answers:

patriot [66]3 years ago

6 0

Answer:

The lines would be parallel.

Step-by-step explanation:

lines with the same slope are parallel.

finlep [7]3 years ago

6 0

The lines 1/2 should be parallel lines :)

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A water tower in New York City has the shape of a cylinder with a cone on top. The cylinder has a diameter of 12 feet and a heig

vazorg [7]

Answer:

number of minutes to drain the entire tower = 241 minutes(nearest minutes)

Step-by-step explanation:

The water tower has the shape of a cylinder with a cone on top . The volume of the water tower can be find when you find the sum of the volume of the cylinder and the cone.

Therefore,

volume of the cylinder = πr²h

where

r = 12/2 = 6 ft

h = 15 ft

volume = π × 6² × 15

volume = π × 36 × 15

volume of the cylinder = 540π

Volume of the cone = 1/3πr²h

r = 6 ft

Using tangential ratio we can find the height which is the opposite side of the triangle

tan 25° = opposite/adjacent

tan 25° = h/6

cross multiply

h = 6 tan 25°

h = 6 × 0.46630765815

h = 2.79784594893

h = 2.8 ft

volume of the cone = 1/3πr²h

volume = 1/3 × π × 36 × 2.8

volume = 100.8π/3

volume = 33.6π

Volume of the tower system = 540π + 33.6π = 573.6π

volume of the tower system = 573.6 × 3.14 = 1801.104 ft³

1 cubic ft = 7.48 gallons

1801.104 cubic fit = ? gallons

cross multiply

gallons = 1801.104 × 7.48

gallons = 13472.25792 gallons

The residents drains the water at the rate of 56 gallons per minute. Therefore,

56 gallons = 1 minutes

13472.25792 gallons = ? minutes

number of minutes = 13472.25792 /56

number of minutes = 240.576034286

number of minutes to drain the entire tower = 241 minutes(nearest minutes)

7 0

3 years ago

How can the statement be rewritten as a conditional statement in if-then form? A rectangle with 4 congruent sides is a square.

larisa86 [58]

Answer:

the answer is a

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

-3(x-3)-2(-5x-3) answer ?

Sveta_85 [38]

7x + 15 :)

Photomath also helps with giving answers and explaining how

6 0

3 years ago

Executives from Six Flags, a well-known amusement park chain, had interest in constructing a Six Flags theme park in a location

natima [27]

Answer:

The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to 0.248.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$