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3 years ago

Todd swam his race in 26.785 seconds while Frank swam his race in 29.07 seconds. What was the difference in their times?

Mathematics

2 answers:

Alexus [3.1K]3 years ago

5 0

All you got to do is subtract. 2.285

topjm [15]3 years ago

3 0

2.285 seconds is the correct answer. (29.07-26.785)

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Tim must read 2 books from a list of 7 recommended books for his summer reading program. In how many different ways can Tim choo

Marianna [84]

There are 21 ways Tim choose 2 books from the 7 recommended book

Solution:

Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program

To find: different ways can Tim choose 2 books from the 7 recommended books

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

The formula for combinations is:

$n C_{r}=\frac{n !}{r !(n-r) !}$

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 books from 7 books

Therefore, n = 7 and r = 2

Substituting values in above formula, we get

$\begin{aligned}&7 C_{2}=\frac{7 !}{2 !(7-2) !}\\\\&7 C_{2}=\frac{7 !}{2 ! \times 5 !}\end{aligned}$

For a number n, the factorial of n can be written as,

$n !=n \times(n-1) \times(n-2) \dots \dots \times 2 \times 1$

Therefore, we get

$7 C_{2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 5 \times 4 \times 3 \times 2 \times 1}\\\\7C_2 = 7 \times 3 = 21$

Thus there are 21 ways Tim choose 2 books from the 7 recommended book

7 0

3 years ago

How does the function represented in the table change over equal intervals? What

Paul [167]

The answer to the question you are looking for is B

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3 years ago

People travel by bus or by train from hiraddug station on tuesday 420 people travelled by bus from the station the ratio of the

goldenfox [79]

The number of people travelled by train from the station on tuesday is 357.

Let us assume the number of people who travelled by train from the station on tuesday be x. Using the concept of ratio and proportion to solve and calculate x.

Forming the ratio-

20 : 17 = 420 : x

Solving the ratio and proportion for the value of x

x = (420 × 17) ÷ 20

Performing multiplication in numerator

x = 7140 ÷ 20

Performing division on Right Hand Side of the equation

x = 357

Therefore, based on the information, 357 people used to travel.

Learn more about ratio and proportion -

brainly.com/question/12024093

#SPJ4

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9 months ago

Math help please thanks

Pepsi [2]

For most of these questions, all you would have to do is add the angles together and or subtract the larger angle from the smaller one to find the other angle. So in the first case.

You would add the angles, 26 degrees and 60 degrees to find the angle KLM which is about 90 degrees a right angle, in this case it would be 86 degrees.

Similarly, for the other question, take the larger angle, 145 degrees and subtract 61 degrees to solve for the angle that will also add to give 145 degrees,in this case it would be 84 degrees.

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3 years ago

if a line is perpendicular to each of two intersecting lines at their point of intersection then what is the line

sp2606 [1]

Line is a perpendicular bisector of the angle

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