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nikitadnepr [17]
2 years ago
13

Steve has a square patio with sides of length 9 feet. He plans to enlarge it to a rectangular patio by

Mathematics
1 answer:
Greeley [361]2 years ago
5 0

Answer:

51ft^2

Step-by-step explanation:

Given data

Side of square patio= 9ft

Area= 9*9= 81 ft^2

New length = 9+3= 12ft

New Widht = 9+2= 11ft

New Area= 12*11

New Area= 132ft^2

Hence the area added is

=132-81

=51ft^2

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Find two positive consecutive odd integers such that the square of the large integer is one less than twice the square of the sm
andre [41]

Step-by-step explanation:

x, x+2 are the two positive consecutive of integers (x + 2, because the minimum distance between 2 odd numbers is always 2, as there can never be 2 odd numbers directly following each other; and neither can even numbers, by the way).

(x+2)² = 2×x² - 1

x² + 4x + 4 = 2x² - 1

0 = x² - 4x - 5

we can solve this by factoring.

that means we need to find a and b so that

(x - a)(x - b) = x² - 4x - 5 = 0

and x = a and x = b are the 2 solutions of the quadratic equation.

x² - ax - bx + ab = x² - 4x - 5 = 0

x² - (a+b)x + ab = x² - 4x - 5 = 0

a+b = 4

ab = -5

that means that either a or b has to be 5 and the other -1.

so, the result is

(x - 5)(x + 1) = 0

x = 5

or

x = -1

are the possible solutions.

since we are only looking for positive integers, x = -1 is not a valid solution.

and only x = 5 remains as valid solution.

therefore, the 2 positive consecutive odd integers are

5, 7

4 0
2 years ago
Please answer this correctly
Ratling [72]

Answer:

4 people

Step-by-step explanation:

The number of people that got the score 5. 4 people have achieved the score 5.

5 0
3 years ago
Read 2 more answers
How many 2/3 cup servings are in four cups of pistachios?
sammy [17]

Answer: One cup is same as 3/3 cups. 4 cups is same as 4*(3/3) cups thats 12/3 cups. Then you can conclude that if you have 2/3 cups, you will need 6 of them to get 4 cups.

Step-by-step explanation:

8 0
2 years ago
Please help me........​
scZoUnD [109]

Answer:

a)5.8meters

b)15feet

c)She is right as 16 feet is equivalent to 4.8768m which is less than 5m

d)3.6576m

Step-by-step explanation:

7 0
3 years ago
Misha deposited $3,725 into a savings account 22 years ago. The account has an interest rate of 2.2% and the balance is currentl
Annette [7]
The compounding equation is A=P(1+ \frac{r}{n}) ^{nt}. So
 
6012.37 = 3725(1+ \frac{0.022}{n}) ^{22n}    Divide by 3725

1.6141= (1+ \frac{0.022}{n}) ^{22n}

Daily      = (1+ \frac{0.022}{365}) ^{22*365}
              = (1.000060274) ^{8030}
              = 1.6225
Monthly  = (1+ \frac{0.022}{12}) ^{22*12}
              = (1.0018333) ^{264}
              = 1.6218
Quarter  = (1+ \frac{0.022}{4}) ^{22*4}
              = (1.0055) ^{88}
              = 1.6204
Yearly  = (1+ \frac{0.022}{1}) ^{22*1}
              = (1.022) ^{22}
              = 1.6141

The answer is yearly.





5 0
3 years ago
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