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erma4kov [3.2K]
2 years ago
14

You have a rectangular piece of fabric with side lengths of 7 inches and 4 inches. What is the area of the biggest possible squa

re you can cut from this fabric?​

Mathematics
2 answers:
Pavel [41]2 years ago
8 0

Answer:

If you were to cut it in half (3.5 x 2)

The answer would be 7

Step-by-step explanation:

Naddika [18.5K]2 years ago
5 0
4 in x 4 in = 16 in^2
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Find the greatest solution for x+y when x^2+y^2 = 7, x^3+y^3=10
damaskus [11]

Answer:

4

Step-by-step explanation:

set

f(x,y)=x+y\\

constrain:

g(x,y)=x^2+y^2 = 7\\h(x,y)=x^3+y^3=10

Partial derivatives:

f_{x}=1\\f_{y} =1 \\g_{x}=2x \\g_{y}=2y\\h_{x}=3x^2 \\h_{y}=3y^2

Lagrange multiplier:

grad(f)=a*grad(g)+b*grad(h)\\

\left[\begin{array}{ccc}1\\1\end{array}\right]=a\left[\begin{array}{ccc}2x\\2y\end{array}\right]+b\left[\begin{array}{ccc}3x^2\\3y^2\end{array}\right]

4 equations:

1=2ax+3bx^2\\1=2ay+3by^2\\x^2+y^2=7\\x^3+y^3=10

By solving:

a=4/9\\b=-2/27\\x+y=4

Second mathod:

Solve for x^2+y^2 = 7, x^3+y^3=10 first:

x=\frac{1}{2} -\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} +\frac{\sqrt{13}}{2} \\x=\frac{1}{2} +\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} -\frac{\sqrt{13}}{2} \\x+y=-5\ or\ 1 \or\ 4

The maximum is 4

6 0
3 years ago
Steven buys 24 bags of flour. Each bag holds 25 pounds of flour. How much flour did Steven buy?
frez [133]
If he has 24 bags and each is 25 pounds, you need to multiply:

24x25=600
Steven bought 600 pounds of flour.
4 0
3 years ago
Determine if the lines are parallel, perpendicular or neither y=-3/2x-4 and y=2/3x-7
aliya0001 [1]

Answer:

<u>They are perpendicular</u>

Step-by-step explanation:

Perpendicular lines have slopes that are negated versions of the other or positive versions of the slope of the other. The slopes are also flipped.

Parallel lines have the same slope.

Neither is when the lines do not follow either of these definitions.

The slope of your two lines are -3/2 and 2/3. These slopes are flipped and the opposite negations of each other. <u>This means the lines are perpendicular.</u>

<u />

4 0
3 years ago
What is the area of the trapezoid shown below?<br> 2<br> 15<br> 12<br><br> help fast please!!!
Ugo [173]

Answer:

78 units2

Step-by-step explanation:

The Area of the triangle is 54 units2

The rectangle on the side has an area of 24 units2.

Add them together, and you get 78.

I hope this helps!

pls ❤ and give brainliest pls

7 0
3 years ago
Un vehiculo parte del reposo con una velocidad constante de 2 m/seg 2 y se mueve durante 5 segundos, su desplazamiento durante e
Andreas93 [3]

Answer:

The BLM presents awards to companies that minimize negative effects on the environment while mining natural resources. One such award is called the Hardrock Mineral Environmental Award. The BLM awards it to the mining company that has best fulfilled federal, state, or local requirements with little help from government agencies.

How does giving this award help the BLM more effectively manage land resources?

It prevents the companies from mining land resources such as gold and coal.

It informs companies about which minerals can be mined and which cannot be mined.

It encourages companies to follow rules set by government agencies.

It educates the companies about ways hard rock mining can destroy land resources.

7 0
3 years ago
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