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mamaluj [8]
3 years ago
10

Tony and Edwin each built a rectangular garden. Tony's garden is 4 feet longer and 5 feet wider than Edwin's garden. If the peri

meter of Edwin's garden is 36 feet, what is the perimeter of Tony's garden?
Mathematics
1 answer:
Novosadov [1.4K]3 years ago
7 0

Answer:

54 feet

Step-by-step explanation:

Perimeter of a rectangle = 2 × (length + breadth)

The perimeter of Edwin's garden is 36 feet :

36 = 2 x (length + breadth)

divide both sides by 2 to determine the sum of the length and breadth of Edwin's garden

36/2 = (length + breadth)

18 = (length + breadth)

Tony's garden is 4 feet longer and 5 feet wider than Edwin's garden

The dimensions of Tony's garden is :

(4 + l) + (5 + w) = 9 + l + w

Where :

l = length

w = width

The sum of the length and breadth of Tony's garden would be 9 feet more than that of Edwin

Sum of Edwin's garden = 9 + 18 = 27

Perimeter of Edwin's garden = 27 feet x 2 = 54 feet

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If a to the power x by y is equal to 1 then the value of x is​
Mazyrski [523]

Answer:

a^x/y=1              x: 0

Step-by-step explanation: w.k.t,        a^0=1( any variable raised to 0 is 1)

                                    so, here the exponent is x/y which should have been 0 so that answer was 1.

7 0
3 years ago
Find a solution of inequality 2x+y<10
Vitek1552 [10]

Option C:

The solution of inequality 2x + y < 10 is (5, –3).

Solution:

Given inequality is 2x + y < 10.

Lets substitute the given points in the inequality and find the solution.

Option A: (6, –1)

2(6) + (–1) < 10

12 – 1 < 10

11 < 10

This is false because 11 > 10.

Therefore (6, –1) is not the solution of the inequality.

Option B: (1, 10)

2(1) + (10) < 10

2 + 10 < 10

12 < 10

This is false because 12 > 10.

Therefore (1, 10) is not the solution of the inequality.

Option C: (5, –3)

2(5) + (–3) < 10

10 – 3 < 10

7 < 10

This is true.

Therefore (5, –3) is the solution of the inequality.

Option D: (5, 5)

2(5) + (5) < 10

10 + 5 < 10

15 < 10

This is false because 15 > 10.

Therefore (5, 5) is not the solution of the inequality.

Hence Option C is the correct answer.

The solution of inequality 2x + y < 10 is (5, –3).

7 0
3 years ago
Yeah I don’t get this
umka2103 [35]

using pythagorean theorem

a^2 + b^2 = c^2

(12x)^2 + (16x)^2 = 10^2

square each term

144x^2 + 256x^2 = 100

combine like terms

400 x^2 = 100


divide by 400 on each side

x^2 = 1/4

take the square root on each side

x = 1/2


Answer:  x=1/2

8 0
3 years ago
Solve A=p+prt for r.
Furkat [3]

A = p + prt

The above equation can be solved for “r” in such a way.

Subtract “p” from both sides;

A – p = p + prt – p

A – p = prt

Divide both sides by “p” and “t”;

A/pt – p/pt = prt/pt

A/pt – 1/t = r

Or

<span>r =  A/pt – 1/t</span>

3 0
3 years ago
Find the slope of the line that passes through the points (−2/3, 3/4) and (5/6, −1/2).
EastWind [94]

Answer:

-\frac{5}{6}

Step-by-step explanation:

Use the slope formula :\frac{y2-y1}{x2-x1}

-1/2 is y2, 3/4 is y1, 5/6 is x2, and -2/3 is x1.

\frac{-1/2-3/4}{5/6-(-2/3)}

\frac{-5/4}{5/6+2/3}

\frac{-5/4}{9/6}

\frac{-5}{4} ÷ \frac{9}{6}

-\frac{5}{4} • \frac{6}{9}

-\frac{5}{2} • \frac{3}{9}

-\frac{15}{18}  

-\frac{5}{6}

Hope this helps! Let me know if I got it wrong.

5 0
3 years ago
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