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erastova [34]
3 years ago
14

At a swim meet, it took Deborah 40.8 seconds to complete the 50 meter freestyle event. It took Robert 60.2 seconds to complete t

he 100 meter butterfly event. It took Emily 112.4 seconds to complete the 200 meter medley event. Who swam the fastest?
Mathematics
1 answer:
GarryVolchara [31]3 years ago
6 0

Answer:

Emily's speed is the greatest, therefor she is the fastest at a speed of 1.78 m/s

Step-by-step explanation:

To determine who swam the fastest we need to calculate the speed for each swimmer;

Speed=Distance/time

Deborah covered a distance of 50 meters in 40.8 seconds,

Deborah's speed=(Deborah's distance/Time)=(50/40.8)=1.23 meters per second

Robert covered a distance of 100 meters in 60.2 seconds,

Robert's speed=(Robert's distance/Time)=(100/60.2)=1.66 meters per second

Emily covered a distance of 200 meters in 112.4 seconds,

Emily's speed=(Emily's distance/Time)=(200/112.4)=1.78 meters per second

From the speeds for each we can conclude that;

Emily's speed(1.78 m/s)>Robert's speed(1.66 m/s)>Deborah's speed(1.23 m/s)

Emily's speed is the greatest, therefor she is the fastest at a speed of 1.78 m/s

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(20 Points)
storchak [24]

Answer:

2nd option will be the answer (y=4x²+48x+146)

Step-by-step explanation:

y=4(x+6)²+2

y=4(x²+2*x*6+6²)+2 [(a+b)²=a²+2ab+b²]

y=4(x²+12x+36)+2

y=4(x²)+4(12x)+4(36)+2

y=4x²+48x+144+2

y=4x²+48x+146

5 0
3 years ago
There is a language with 12 distinct letters. How many words that are less than four letters long can possibly be formed? (Assum
allochka39001 [22]

Answer:

1884

Step-by-step explanation:

1)If you hear the condition "less than four letters" it means that each word can consist of 3,2 or 1 letter. Firstly, consider the easiest situation with the word from one letter. There are 12 letters, so there are 12 words from one letter.

Then the words from two letters. The first letter of such a word can be chosen in 12 means(because 12 letters are available), then the second letter can be chosen in 12 means too. 12*12=144 words with 2 letters. (Multiplying, not adding, because each two words form one combination).

Then for the words from three letters, use the same rule, 12 means for the first letter, 12 means for the second letter, 12 means for the third letter. 12*12*12=1728 words.

Having particular words from 1,2,3 letters add them to get total quantity of words: 12+144+1728=1884words,that is the answer.

8 0
3 years ago
Need help with this quick.
Orlov [11]

A trapezium is a quadrilateral. The option that is true for the trapezium is A, D, and E.

<h3>What is Trapezium?</h3>

A trapezium is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.

The given trapezium is an isoceles trapezium. Therefore, the properties of the trapezium that are true for KLMJ are:

  • KL is parallel to JM
  • ∠J is supplementary ∠K
  • ∠J is congruent to ∠M (Valid only for isoceles trapezium).

Hence, the option that is true for the trapezium is A, D, and E.

Learn more about Trapezium:

brainly.com/question/22607187

#SPJ1

4 0
2 years ago
A can of juice has a radius of 4 inches and a height of 7 inches what is the volume of the can
Reil [10]

The answer is 28 squared centimeters

7 0
3 years ago
Find the measure of the missing angles.<br> 83°C<br> b
harina [27]

Answer:

m\angle b=97^{\circ},\\m\angle c= 97^{\circ}

Step-by-step explanation:

Vertical angles are angles on opposites sides of an intersection of two lines. Therefore, \angle c and \angle b are vertical angles. Similarly, the angle opposite to the angle marked 83 degrees is also equal to 83 degrees. Vertical angles are always equal.

Since there are 360 degrees in a circle, we have the following equation:

\angle c+\angle b+83+83=360,\\2\angle c+166=360,\\2\angle c=194,\\\angle c=\frac{194}{2}=\boxed{97^{\circ}}

Since \angle c and \angle b are vertical angles and vertical angles are also equal, the measure of angle b is also \boxed{97^{\circ}}

3 0
3 years ago
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