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3 years ago

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Mathematics

1 answer:

timofeeve [1]3 years ago

7 0

Answer:

It will take 150 hours to fill all 3 tanks at a time.

Step-by-step explanation:

Water flows in pipe 1 at a rate of 25,000 gallons per hour.

Other pipe at a rate of 45,000 gallons per hour.

Water leaves the system at a rate of 60,000 gallons per hour.

There are 3 of these tanks and each tank holds 1 million gallons.

Each tank is half full.

So, total capacity of 3 tanks = 3 millions and it is half full.

The water need to be filled = 1.5 millions. At the same time 60,000 gallons of water leaving out.

25,000 x + 45,000 x - 60,000 x = 1.5 millions

70,000x -60,000x = 1500000

10,000x = 1500000

Dividing both sides by 10,000, we get

x = 150 hours

Therefore, it will take 150 hours to fill all 3 tanks at a time.

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Which equation shows that the Pythagorean identity is true for 0 = 180 degrees? select the equation that is in the form sin^2 0+

elixir [45]

The equation in the form of the given expression is (0)² + (1)² = 1

<h3>Trigonometry identity</h3>

According to some of the trigonometry identity

sin 0 = 0

cos 0 1

Given the expression below

sin^2 0+cos^2 0=1

This can also be expressed as:

(sin0)² + (cos0)² = 1

Substitute

(0)² + (1)² = 1

Hence the equation in the form of the given expression is (0)² + (1)² = 1

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2 years ago

Which one is greater 10.05 or 10.005

Blababa [14]

10.05 = 10 5/100 = 10 1/20
10.005 = 10 5/1000 = 10 1/200

therefore, 10.05 is greater then 10.005

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3 years ago

hi PLLSS HELP solve x2 – 8x = 20 by completing the square. Which is the solution set of the equation? {–22, 14} {–14, 22} {–10,

Anuta_ua [19.1K]

Answer:

{ - 2, 10 }

Step-by-step explanation:

Given

x² - 8x = 20

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 20 + 16, that is

(x - 4)² = 36 ( take the square root of both sides )

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x = 4 ± 6

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3 years ago

Are these ratios equivalent?

vaieri [72.5K]

Answer:

Yes

Step-by-step explanation:

3 medium cars to 1 small car can be made into a fraction like this: $\frac{3}{1}$ or $\frac{1}{3}$ . But you must be consistent if the denominator represents medium cars or small cars.

For this, I'm just going to make medium cars the numerator.

18 medium cars to 6 cars can be made into a fraction like this : $\frac{18}{6}$ .

When you divide both fractions in a calculator (or in your head), you will realize that they both are the same value (equivalent).

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$\frac{1}{3} = \frac{6}{18} = .3333333$

These ratios are equivalent.

4 0

3 years ago

Put the following lengths in ascending order, 900cm, 8.9m, 895cm, 9.1m, 12000mm, 0.0092km.

matrenka [14]

Answer: 8.9 m, 895 cm, 900 cm, 9.1 m, 0.0092 km, 12000 mm

===========================================================

Explanation:

To be able to compare these various measurements, all of them must be the same unit. Let's convert each measurement to meters. If the measurement is already in meters, then we'll move onto the next measurement.

Here are some useful conversion factors

1 m = 100 cm
1 m = 1000 mm
1 km = 1000 m

With those conversion factors in mind, we get the following conversions:

900 cm = (900 cm)*(1 m/100 cm) = (900/100) m = 9 m
8.9 m = already in meters, moving on
895 cm = 8.95 meters; divide by 100 to convert from cm to meters as shown above
9.1 m = already in meters, moving on
12000 mm = (12000 mm)*(1 m/1000 mm) = (12000/1000) m = 12 m
0.0092 km = (0.0092 km)*(1000 m/1 km) = (0.0092*1000) m = 9.2 m

Here is the summary of the conversions:

900 cm = 9 m
8.9 m = 8.9 m
895 cm = 8.95 m
9.1 m = 9.1 m
12000 mm = 12 m
0.0092 km = 9.2 m

The original list of

{900cm, 8.9m, 895cm, 9.1m, 12000mm, 0.0092km}

becomes this equivalent list

{9 m, 8.9 m, 8.95 m, 9.1 m, 12 m, 9.2 m}

in that exact order.

After converting everything to meters, we can then sort the values from smallest to largest. Doing so gets us this sorted list of

{8.9 m, 8.95 m, 9 m, 9.1 m, 9.2 m, 12 m}

Then you convert back each measurement to its original form

{8.9 m, 895 cm, 900 cm, 9.1 m, 0.0092 km, 12000 mm}

which is the final answer.

8 0

3 years ago

Read 2 more answers