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sveticcg [70]
2 years ago
5

Miles has a square garden in his backyard. He decides to decrease the size of the garden by 1 foot on each side in order to make

a gravel border. After he completes his gravel border, the area of the new garden is 25 feet2. In the equation (x - 1)2 = 25, x represents the side measure of the original garden.
Mathematics
2 answers:
Katarina [22]2 years ago
6 0

The length of each side of the original garden was 6 feet.

The area of the original garden was 36 feet².

rusak2 [61]2 years ago
5 0

Answer:

6ft

36ftsquared

Step-by-step explanation:

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A manageress earned £24,500 last year. This year she earns £25,235.
Korolek [52]

Answer:

Step-by-step explanation:

245000 last year

This year 25235

(y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)  

(( £25.235 - £24.500) / £24.500) * 100 = 0 %

There ain't no percentage change as there needs to be a bigger difference between the two numbers plus u should use the formula

7 0
1 year ago
Dominique paid $15.50 to join an online music service. If
frozen [14]

Answer:

94.7

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Nik needs to estimate how many books will fit in a bin. Each book is 1 ft tall, 0.5 ft wide, and 0.1 ft thick. The bin is 5 feet
yawa3891 [41]

Answer:

600 books

Step-by-step explanation:

The bin's dimensions are

5 by 2 by 3

THe volume of the bin is the multiplication of the 3 dimensions given.

Volume of Bin = 5 * 2 * 3 = 30 cubic feet

Now, volume of each book would be gotten the same way. The dimensions of one book is:

1 by 0.5 by 0.1

Volume of 1 book = 1 * 0.5 * 0.1 = 0.05 cubic feet

The number of books that will fit in the bin would be:

30/0.05 = 600 books

6 0
2 years ago
What are the factors of the polynomial function? Use the rational root theorem to determine the factors. f(x) = 2x³ + x² - 8x -
fredd [130]

Answer:

( x + 2 ) ( x - 2 ) ( 2x + 1)

Step-by-step explanation:

coefficient of x³ is 2 and denote it with q and denote -4 as p

the set of possible rational roots through rational theorem will be within ± (p/q)

now factors of -4 are ±(1,2,4) and factors of 2 are ± (1,2) the possible rational roots are ± ( 1/1, 1/2, 2/1, 2/2, 4/1, 4/2) which reduces to ± (1, 1/2, 2, 4)

substitute each of the value into the equation

f(x) = 2x³ + x² - 8x - 4 to the root ( that gives f(x) = 0)

the equation can be made easy writing it in reduced form

2x³ + x² - 8x - 4

(2x³ + x²) - (8x + 4)

x² (2x + 1) - 4 (2x + 1)

(x² - 4) (2x + 1)

( x + 2 ) ( x - 2) ( 2x + 1) are the factors which correspond to 2, -2, -1/2 roots

4 0
2 years ago
Town Hall is located 4.3 miles directly east of the middle school. The fire station is located 1.7 miles directly north of Town
Maksim231197 [3]

Answer:

2.1 miles

Step-by-step explanation:

you can see a drawing of the situation in the attached picture (you need to draw all the places mentioned and the distance between them),

this way we can form a right triangle  between the school and the hospital with measures of sides: 1.7 and 1.2 miles

and the green line is the straight line between the school and the hospital, so you need pythagoras to find the value:

\sqrt{1.7^2+1.2^2}\\=\sqrt{2.89+1.44}\\=\sqrt{4.33}  \\ =2.081

rounding to the nearest tenth:

2.1 miles

4 0
2 years ago
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