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prisoha [69]
3 years ago
8

Pedro raced 96 km from Perry to Medford and then slowly made his way back. If the round trip took 8 hours, what was Pedro's aver

age speed in km per hour?
Mathematics
1 answer:
suter [353]3 years ago
5 0

Answer:

12 km/h

Step-by-step explanation:

Because they are asking for Pedro's average speed, you can divide the distance by the amount of time taken to travel. So in this case, Pedro's speed is equal to 96km/8h, which when divided simplifies to 12km/h. A little tip is to look at the units the answer is asking for (like in this problem it asks what was Pedro's average speed in km per hour). Km per hour is km/h, which will give you a hint on what units you will need to divide by. Hope this helps!

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STatiana [176]

Answer:

126

Step-by-step explanation:

6 0
3 years ago
The diameter of the moon is 2,160 miles. A model has a scale of 1 in : 150 mi. What is the diameter of the model?
Charra [1.4K]

Answer:

The diameter of the model is 14.4 inches.

Step-by-step explanation:

The Diameter of the moon = 2,160 miles

The scale on the model represents 1 in = 150 miles

Let the model represents k inches in 2,160 miles.

So, by the Ratio of Proportionality:

\frac{1}{150}   = \frac{k}{2160}

⇒k = \frac{2160}{150} \\\implies k =  14.4

or, k = 14.4 inches

⇒On the scale 2160 miles is represented as 14.4 inches

    Hence the diameter of the model is 14.4 inches.

3 0
3 years ago
PLEASE HELP ME If 0 < z ≤ 90 and sin(9z − 1) = cos(6z + 1), what is the value of z? z = 3 z = 4 z = 5 z = 6
Burka [1]

Answer:

  z = 6

Step-by-step explanation:

We know that ...

  sin(x) = cos(90 -x)

Substituting (9z-1) for x, this is ...

  sin(9z -1) = cos(90 -(9z -1))

But we also are given ...

  sin(9z -1) = cos(6z +1)

Equating the arguments of the cosine function, we have ...

  90 -(9z -1) = 6z +1

  90 = 15z . . . . . . . . . add (9z-1) to both sides

  6 = z . . . . . . . . . . . . divide by 15

_____

<em>Comment on the graph</em>

The attached graph shows 5 solutions in the domain of interest. These come from the fact that the relation we used is actually ...

  sin(x) = cos(90 +360k -x)  . . . . .  for any integer k

Then the above equation becomes ...

  90 +360k = 15z

  6 +24k = z . . . . . . . . . for any integer k

The sine and cosine functions also enjoy the relation ...

  sin(x) = cos(x -90)

  sin(9z -1) = cos(9z -1 -90) = cos(6z +1)

  3z = 92 . . . . . equating arguments of cos( ) and adding 91-6z

  z = 30 2/3

6 0
3 years ago
What is the smallest angle of rotational symmetry for a square? 45ş 90ş 180ş 360ş
vitfil [10]

Answer:

Step-by-step explanation:

i think 45 because a square could be broken up into 4s

6 0
2 years ago
Read 2 more answers
Natalie's coach has a stopwatch that records times to the nearest thousandth of a second. Natalie ran a given distance in 25.453
sdas [7]

Answer:

25.5 seconds

Step-by-step explanation:

Given that the stopwatch records times to the nearest thousandth of a second, it means that the time recorded will be given at 3 decimal places.

To get the time in the nearest tenth of a second, we would first convert to the nearest hundredth of a second, at this, the reading  of  25.453 seconds will be

=  25.45 seconds

Since the number at the hundredth position is 5 (or more), we would add 1 to the number at the tenth position to round it to the nearest tenth. Hence the reading to the nearest tenth

= 25.5 seconds

7 0
3 years ago
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