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seropon [69]
3 years ago
10

Find area !! GIVING BRAINLIEST

Mathematics
1 answer:
Anton [14]3 years ago
3 0

Answer:

221

Step-by-step explanation:

area= length times width

13 times 17= 221

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Does the system shown always, sometimes, or never have a solution when a >b?
Rama09 [41]

Answer:

sometimes

Step-by-step explanation:when a >b?

ax+y=8

bx + y = 5

always

sometimes

O

never

5 0
3 years ago
Patrick has just finished building a pen for his new dog. The pen is 3 feet wider than it is long. He also built a doghouse to p
zalisa [80]

General Idea:

(i) Assign variable for the unknown that we need to find

(ii) Sketch a diagram to help us visualize the problem

(iii) Write the mathematical equation representing the description given.

(iv) Solve the equation by substitution method. Solving means finding the values of the variables which will make both the equation TRUE

Applying the concept:

Given: x represents the length of the pen and y represents the area of the doghouse

<u>Statement 1: </u>"The pen is 3 feet wider than it is long"

Length \; of\; the \; pen = x\\ Width \; of\; the\; pen=x+3

------

<u>Statement 2: "He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base"</u>

Area \; of\; the\; Dog \; house=y\\ Perimeter \; of\; Dog\; house=y

------

<u>Statement 3: "After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen."</u>

Area \; of \; the\; Pen - Area \;of \;the\;Dog \;House=\;Space\;inside\;Pen\\ \\ x \cdot (x+3)-y=178\\ Distributing \;x\;in\;the\;left\;side\;of\;the\;equation\\ \\ x^2+3x-y=178\Rightarrow\; 1^{st}\; Equation\\

------

<u>Statement 4: "The perimeter of the pen is 3 times greater than the perimeter of the doghouse."</u>

Perimeter\; of\; the\; Pen=3\; \cdot \; Perimeter\; of\; the\; Dog\; House\\ \\ 2(x \; + \; x+3)=3 \cdot y\\ Combine\; like\; terms\; inside\; the\; parenthesis\\ \\ 2(2x+3)=3y\\ Distribute\; 2\; in\; the\; left\; side\; of\; the\; equation\\ \\ 4x+6=3y\\ Subtract \; 6\; and \; 3y\; on\; both\; sides\; of\; the\; equation\\ \\ 4x+6-3y-6=3y-3y-6\\ Combine\; like\; terms\\ \\ 4x-3y=-6 \Rightarrow \; \; 2^{nd}\; Equation\\

Conclusion:

The systems of equations that can be used to determine the length and width of the pen and the area of the doghouse is given in Option B.

178=x^2+3x-y\\ \\ -6=4x-3y

8 0
3 years ago
Read 2 more answers
Factoring polynomials <br><br><br><br> ps I need help
Semenov [28]

Answer:

4m^2-3mn^2+5

Step-by-step explanation:

5 0
3 years ago
A semi circle shaped rug has a diameter of 2 feet what is the area of the rug
Hitman42 [59]
For the full circle, Area = pi(r)^2
pi x 1^2 = pi 
Semi circle = pi/2 = 1.57 square feet
3 0
3 years ago
Fred borrows $1120 at 19% intenest
myrzilka [38]

Answer:

$638.4

Step-by-step explanation:

19% of 1120 = 212.8

212.8 x 3 = 638.4

5 0
3 years ago
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