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Arlecino [84]
3 years ago
7

Which list shows the numbers in order from least to greatest?

Mathematics
2 answers:
-Dominant- [34]3 years ago
5 0
Before giving you the answer, let's talk about decimals for a moment.

Which is greater? 1.4 or 1.38?

Think of it this way: add a zero to the end of 4. It is technically there, just understood, so we can add it in.
This becomes 1.40
Is 40 greater than 38?
Yup!

ANSWER: 1.38, 1.4, 137
Leto [7]3 years ago
3 0
1. 1.38
2. 1.4
3. 137

1 comes first because 38 is less than 40 and number 2 is 1.40 so 1.38 is less than 1.40 and 137 is the largest number because it has no decimals.
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17. MODELING WITH MATHEMATICS The data
Ksenya-84 [330]

Answer:

Average annual tuition is $16991 for the year 2020.

Step-by-step explanation:

By using excel for the equation of the line of best fit,

Slope of the line from given data = 380.0286

y - intercept of the line = 11290.1

Therefore, equation of the regression line will be,

y = 380.0286x + 11290.1

Where x = number of years after 2005

Now we have to calculate the average annual tuition in the  year 2020,

By substituting the value of x = 2020 - 2005

                                                 = 15 years

y = 380.0286×(15) + 11290.1

y = 16990.529

  ≈ 16991

Therefore, average annual tuition is $16991 for the year 2020.

6 0
3 years ago
Determine two pairs of polar coordinates for the point (5, 5) with 0° ≤ θ < 360°.
inna [77]

Answer:

First part

The answer is (5 square root 2, 45°), (-5 square root 2, 225°) ⇒ answer (d)

Second part

The equation in standard form for the hyperbola is y²/81 - x²/19 = 1 ⇒ answer(b)

Step-by-step explanation:

First part:

* Lets study the Polar form and the Cartesian form

- The important difference between Cartesian coordinates and

  polar coordinates:

# In Cartesian coordinates there is exactly one set of coordinates

  for any given point.

# In polar coordinates there is an infinite number of coordinates

   for a given point. For instance, the following four points are all

   coordinates for the same point.

# In the polar the coordinates the origin is called the pole, and

  the x axis is called the polar axis.

# The angle measurement θ can be expressed in radians

   or degrees.

- To convert from Cartesian Coordinates (x , y) to

  Polar Coordinates (r , θ)

# r = ± √(x² + y²)

# θ = tan^-1 (y / x)

* Lets solve the problem

- The point in the Cartesian coordinates is (5 , 5)

∵ x = 5 and y = 5

∴ r = ± √(5² + 5²) = ± √50 = ± 5√2

∴ tanФ = (5/5) = 1

∵ tanФ is positive

∴ Angle Ф could be in the first or third quadrant

∵ Ф = tan^-1 (1) = 45°

∴ Ф in the first quadrant is 45°

∴ Ф in the third quadrant is 180 + 45 = 225°

* The answer is (5√2 , 45°) , (-5√2 , 225°)

Second part:

* Lets study the standard form of the hyperbola equation

- The standard form of the equation of a hyperbola with  

  center (0 , 0) and transverse axis parallel to the y-axis is

  y²/a² - x²/b² = 1, where

• the length of the transverse axis is 2a

• the coordinates of the vertices are (0 , ±a)

• the length of the conjugate axis is 2b

• the coordinates of the co-vertices are (±b , 0)

•      the coordinates of the foci are (0 , ± c),  

• the distance between the foci is 2c, where c² = a² + b²

* Lets solve our problem

∵ The vertices are (0 , 9) and (0 , -9)

∴ a = ± 9 ⇒ a² = 81

∵ The foci at (0 , 10) , (0 , -10)

∴ c = ± 10

∵ c² = a² + b²

∴ (10)² = (9)² + b² ⇒ 100 = 81 + b² ⇒ subtract 81 from both sides

∴ b² = 19

∵ The equation is  y²/a² - x²/b² = 1

∴  y²/81 - x²/19 = 1

* The equation in standard form for the hyperbola is y²/81 - x²/19 = 1

3 0
3 years ago
Can someone give the answer for the number pattern, I am struggling. Please!
Vladimir79 [104]
64 is the answer ❤☺❤❤
3 0
3 years ago
What additional information is needed to prove the following triangles congruent by ASA?
lianna [129]

Answer:

angle B = angle C

Step-by-step explanation:

______________

7 0
3 years ago
Read 2 more answers
State the name of the angle
Bess [88]
The answer is C, hope this helps
6 0
3 years ago
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