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LUCKY_DIMON [66]
3 years ago
11

An 18 m tall tree is broken during a severe storm. The distance from the base of the trunk to the point where the tip touches th

e ground is 12 m. At what height did the tree break?

Mathematics
1 answer:
-BARSIC- [3]3 years ago
6 0
I hope this helps you

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given y left parenthesis z right parenthesis equals space fraction numerator z squared minus 1 over denominator z left parenthes
aivan3 [116]

The simplification of the given algebraic expression is;

yz = (z + 1)/z(z - 1)

<h3>How to simplify algebraic expressions?</h3>

We are given y left parenthesis z right parenthesis which is expressed as; yz

Now, we are given the algebraic expression that yz equals space fraction numerator z squared minus 1 over denominator z left parenthesis z minus 1 right parenthesis squared end fraction

z squared minus 1 over denominator z left parenthesis z minus 1 right parenthesis squared end fraction is expressed as; (z² - 1)/z(z - 1)²

Thus, our main expression is;

yz = (z² - 1)/z(z - 1)²

Factorizing the numerator and denominator gives;

yz = (z + 1)(z - 1)/z(z - 1)(z - 1)

(z - 1) is common to both numerator and denominator and as such, we now have;

yz = (z + 1)/z(z - 1)

Read more about Algebraic Expressions at; brainly.com/question/4344214

#SPJ4

5 0
1 year ago
Raina runs 3 miles in 28 minutes. At the same rate how many miles would she went and 42 minutes
Lorico [155]

Answer:

4.5miles

Step-by-step explanation:

divide 28 by 3 to get 9.333 minutes each mile

then divide 42 by 9.333 to get 4.50 miles

8 0
3 years ago
20 Points 20 points 20 points
Marat540 [252]

Answer:

<h2>-5</h2>

Step-by-step explanation:

A=\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] \\\\\det A=\left|\begin{array}{ccc}a&b\\c&d\end{array}\right|=ad-bc

\left\{\begin{array}{ccc}x+2y=5\\x-3y=7\end{array}\right\\\\A=\left[\begin{array}{ccc}1&2\\1&-3\end{array}\right] \\\\\det A=A=\left|\begin{array}{ccc}1&2\\1&-3\end{array}\right|=(1)(-3)-(1)(2)=-3-2=-5

6 0
3 years ago
Read 2 more answers
Students attending the University of Florida can select from 130 major areas of study. A student's major is identified in the re
omeli [17]

Answer:

1. 8385 double majors

2. 18252 major codes

3. 8515 codes

4. Yes

Step-by-step explanation:

Given

Major areas = 130

Alphabets = 26

a.

There are 130 major areas in the university.

To get a double majors, means one select any of two of the major areas in the university.

i.e. just 2 alphabets are needed

Number of Double Majors = 130C2

130C2 = 130!/(128!*2!)

130C2 = 130 * 129/2

130C2 = 8385.

b.

Number of major codes available = Number of 2 digit codes + Number of 3 digit codes

Number of 2 digit codes = 2 alphabets

There are 26 ways of selecting the first letter

There are 26 ways of selecting the second letter

So, number of 2 digit codes = 26 * 26 = 676.

Number of 3 digit codes = 3 alphabets

There are 26 ways of selecting the first letter

There are 26 ways of selecting the second letter

There are 26 ways of selecting the third letter

So, number of 3 digit codes = 26 * 26 * 26 = 17576

Thus, number of major codes = 17576 + 676 = 18252

c.

Number of codes to identify a student with either a single major or double major

Number off single major codes = number of major areas = 130

Number of double major codes = 8385

Total = 130 + 8385 = 8515

d. From the solutions above, Yes there are enough codes available to identify all single and double majors at the university

6 0
3 years ago
Sarah hired a painter to paint her bedroom walls and ceiling. Each of the four bedroom walls is 18 ft. Long and 8 ft. High. Two
Dovator [93]

Answer:

The estimate is not correct?

Step-by-step explanation:

Given data

Area of wall = 18*8

=144ft^2

=4*144

=576ft^2

Area of doors

=3*7

=21ft^2

=2*21

=42ft^2

Area of window

=3*5

=15ft^2

Hence the total surface area of the room

=576-42-15

=519ft^2

The amount of paint needed= 519/300= 1.73

Approximately 2 gallons

We are told that 1 gallon will cover 300ft^2

Hence 3 gallons will cover 300*3= 900ft^2

Therefore the painter overestimated the amount of paint needed

As 2 gallons will do the job

6 0
3 years ago
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