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Mnenie [13.5K]
3 years ago
13

A red kangaroo hops at an average speed of 20km per hour. How fast is this in meters per minute?

Mathematics
1 answer:
masya89 [10]3 years ago
8 0

Answer:

333.3 meters per minute

Step-by-step explanation:

<u>The best way to solve this problem is using </u><u>dimensional anaysis</u><u>. First, we write out our starting units, that being 20km/1hr. We have to keep in mind that we want to change the kilometers to meters and the hours to minutes.</u>

\frac{20km}{1hr}

<u>We know that there are 1000 meters in 1 kilometer. We add this to the dimensional analysis as 1000m/1km. We write it as this because we want the kilometers to cancel each other out. We only want the meters.</u>

= \frac{20km}{1hr} *\frac{1000m}{1km} ...

<u>We also know that 1 hour is 60 minutes. We add this to the analysis as well so that the hours cancel each other.</u>

= \frac{20km}{1hr} *\frac{1000m}{1km} * \frac{1hr}{60min}

<u>We now solve this expression. Since both the kilometers and the hours cancel out, we have meters per minute as our unit. All that's left are the numbers.</u>

= (20*1000*1)/(1*1*60) m/min

= 333.3 meters per minute

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Which is a irrational number, √39, √9, √49, 1.7
stiv31 [10]

Answer:

√39

Step-by-step explanation:

An irrational number is a number that cannot be expressed by a fraction.

√9 = 3

√49 = 7

All whole numbers can be expressed as fractions and are <u>not</u> irrational numbers.

1.7 = 17/10 which is <u>not</u> an irrational number.

7 0
3 years ago
Find the center and radius of the circle and sketch its graph<br> X^2+y^2=9
Vaselesa [24]

Answer:

Centre (0,0)

Radius √9 = 3

I've attached a graph if the circle with it

Answered by GAUTHMATH

6 0
3 years ago
Use the graph to the right to write an equation of the line.
Amanda [17]

Answer:

Using the point (-2,-4) it would be:

y + 4 = 1/3(x + 2)

Using the point (4,-2) it would be:

y + 2 = 1/2 (x - 4)

Step-by-step explanation:

hope this helps :)

4 0
2 years ago
Solve the system using substitution. Show your work.<br> x = -4y + 9<br> x - y = 4
FromTheMoon [43]

Answer:

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6 0
3 years ago
Read 2 more answers
Questions, are all in picture, please solve
Andrews [41]

The function represents a <em>cosine</em> graph with axis at y = - 1, period of 6, and amplitude of 2.5.

<h3>How to analyze sinusoidal functions</h3>

In this question we have a <em>sinusoidal</em> function, of which we are supposed to find the following variables based on given picture:

  1. Equation of the axis - Horizontal that represents the mean of the bounds of the function.
  2. Period - Horizontal distance needed between two maxima or two minima.
  3. Amplitude - Mean of the difference of the bounds of the function.
  4. Type of sinusoidal function - The function represents either a sine or a cosine if and only if trigonometric function is continuous and bounded between - 1 and 1.

Then, we have the following results:

  1. Equation of the axis: y = - 1
  2. Period: 6
  3. Amplitude: 2.5
  4. The graph may be represented by a cosine with no <em>angular</em> phase and a sine with <em>angular</em> phase, based on the following trigonometric expression:

    cos θ = sin (θ + π/2)

To learn more on sinusoidal functions: brainly.com/question/12060967

#SPJ1

3 0
2 years ago
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