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cricket20 [7]
3 years ago
8

Simplify the ratio 30:45​

Mathematics
2 answers:
AVprozaik [17]3 years ago
4 0

Answer:

2/3

Step-by-step explanation:

There 2 ways:-

The simple way in 2 steps

1.divide  by 5

2. then divide by 3

The complicated way is to divide by 15

pogonyaev3 years ago
3 0

Answer:

2:3

Step-by-step explanation:

Here is the math to illustrate better:

30/15 = 2 and 45/15 = 3

Thus, 30:45 ratio simplified is 2:3

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Micah ran 3 miles in 30 minutes. At this rate, what is the total number of minutes
iris [78.8K]

Answer: B. 20

Step-by-step explanation: It takes Micah 30 minutes to run 3 miles. If you divide both by three you can see that it take him 10 minutes to run one mile. If you multiply this by 2 then it would take him 20 minutes to run 2 miles.

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Anastasy [175]

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Step-by-step explanation:

7 0
2 years ago
Type a digit that makes this statement true.<br><br> 768,72<br> is divisible by 6.<br><br> Help Me
kiruha [24]

Answer:

6

Step-by-step explanation:

Rule for divisibilty of 6:

  • sum of place values is a multiple of 3
  • an even number

Step 1: dd the integers

  • 7 + 6 + 8 + 7 + 2 + x
  • 30 + x

Now, we have a couple options:

  • x = 3
  • x = 6
  • x = 9

You can use any of these three values,

But the number has to be even, so the last digit has to be even. The correct answer is 6.

-Chetan K

8 0
2 years ago
Read 2 more answers
Determine two pairs of polar coordinates for the point (5, 5) with 0° ≤ θ &lt; 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
100 POINTS !! The trajectory of a potato launched from a potato cannon on the ground at an angle of 45 degrees with an initial s
stellarik [79]

Answer:

height: 125m; distance: 500m

Step-by-step explanation:

x = 250

f(x) = x − 0.002x2

f(x) = 250 − 0.002(250 )2

= 250 − 0.002(62,500)

= 250 − 125

= 125

250 times 2 = 500

6 0
2 years ago
Read 2 more answers
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