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Kobotan [32]
3 years ago
14

if michelle rollerblade around a circular track with a radius of 80 meters, how far does she skate? use 3,14 for pie. round to t

he nearest tenth
Mathematics
1 answer:
crimeas [40]3 years ago
4 0
Circumference of a circle formula is 2\pir

2 × \pi × 80
=160 × <span>\pi 
=502.4 m

She skates 502.4 m.</span>
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8 Leandra's fastest time for the 400 m is 70 seconds. In his next race he improves by
disa [49]

8) a) The new fastest time is 56.7 seconds, b) The <em>overall percentage</em> improvement is 19 %.

9) The height after the first increase is 1.375 meters and after the second increase is 1.54 meters.

<h3>How to apply percentages in real life applications</h3>

In this problem we have two examples from real life, in which percentages are used. The first is the distance traveled by a runner in a given time and the second is the growth of a person in time. Change in variables based on percentages are described by the following formula:

C' = C · (1 + r / 100)     (1)

Where:

  • C - Initial value
  • C' - Final value
  • r - Percentage of change.

Now we proceed to resolve on each case. 8) a) Please notice that the runner must cover the trail in less time and percentage time must be negative. If we know that C = 70 and r = - 10, then his new fastest time is:

C' = 70 · (1 - 10 / 100)

C' = 70 · 0.90

C' = 63

And again: (C' = 63, r = - 10)

C'' = 63 · (1 - 10 / 100)

C'' = 63 · 0.90

C'' = 56.7

The new fastest time is 56.7 seconds.

b) And the overall percentage improvement is:

r = (|C'' - C| / C) × 100 %

r = (|56.7 - 70| / 70) × 100 %

r = 19 %

The <em>overall percentage</em> improvement is 19 %.

9) If we know that C = 1.25 and r = 10, then the height next year is:

C' = 1.25 · (1 + 10 / 100)

C' = 1.375

And again: (C' = 1.375, r = 12)

C'' = 1.375 · (1 + 12 / 100)

C'' = 1.54

The height after the first increase is 1.375 meters and after the second increase is 1.54 meters.

To learn more on percentages: brainly.com/question/13450942

#SPJ1

3 0
2 years ago
Carlos made a scale model of his house. The actual width is 30 feet, and the actual length is 45 feet. If the model has a width
olganol [36]
Hello!

Let's make a proportion:

\frac{30}{45} =  \frac{6}{x}

Cross multiply

45 × 6 = 270

Divide by 30

270 ÷ 30 = 9

\framebox {The length is 9 inches}
3 0
2 years ago
How to explain why a trapezoid is a quadrilateral but a quadrilateral is not always a trapezoid
Alex787 [66]

A quadrilateral is any figure with 4 sides, no matter what the lengths of
the sides or the sizes of the angles are ... just as long as it has four straight
sides that meet and close it up.

Once you start imposing some special requirements on the lengths of
the sides,  or their relationship to each other, or the size of the angles,
you start making special kinds of quadrilaterals, that have special names.

The simplest requirement of all is that there must be one pair of sides that
are parallel to each other.  That makes a quadrilateral called a 'trapezoid'.
That's why a quadrilateral is not always a trapezoid.

Here are some other, more strict requirements, that make other special
quadrilaterals:

-- Two pairs of parallel sides . . . . 'parallelogram'

-- Two pairs of parallel sides
AND all angles the same size . . . . 'rectangle'
           (also a special kind of parallelogram)

-- Two pairs of parallel sides
AND all sides the same length . . . 'rhombus'
           (also a special kind of parallelogram)

-- Two pairs of parallel sides
AND all sides the same length
AND all angles the same size . . . . 'square'.
           (also a special kind of parallelogram, rectangle, and rhombus)


5 0
3 years ago
Please answer ASAP!!!
Gwar [14]

Answer:

Wheres the question

Step-by-step explanation:

4 0
3 years ago
The width of a rectangular swimming pool is 16ft. The diagonal of the swimming pool is 34 ft. What is the length of the swimming
kobusy [5.1K]
The length of the swimming pool is 30 ft  
5 0
3 years ago
Read 2 more answers
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