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3 years ago

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A square has an area of 25 cm(squared). What is the length of each side?

1 answer:

zloy xaker [14]3 years ago

8 0

Answer:

5cm

Step-by-step explanation:

In order to find the area of a 2d regular shape such as a square, you need to do length × width = area

A square has four regular sides, which means they must all be the same length, which in turn means that we only need to find one number, and it must be the square root of 25.

5×5=25

So, the length of each side is 5cm.

Hope this helped!

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975 and is increasing at a rate of 2.5% per year for 7 years

sesenic [268]

Answer:

2.5 × 7 = 17.5

975 × 17.5% = 170.62

975 + 170.62

= 1145.62

8 0

2 years ago

Algebra 1 Check Answer Please

BigorU [14]

The answer is the third one.

The way I think through these problems is that where you multiply (-7x), you use addition, and where you use addition (-4), you multiply.

The answers added together will equal the second number, -7, and multiplied will give you the third, -4.

What you had chosen as the answer was close. But 7.53+-0.53 equals positive 7, not negative. However they do round to -4 when multiplied.

The correct answer, -7.53 and 0.53, do equal -7 when added together and equal -4 when multiplied.

5 0

3 years ago

In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is

zheka24 [161]

Answer:

$f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

Step-by-step explanation:

Let:

$M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y$

This is and exact equation, because:

$\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}$

So, define f(x,y) such that:

$\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)$

The solution will be given by:

$f(x,y)=C_1$

Where C1 is an arbitrary constant

Integrate $\frac{\partial f(x,y)}{\partial x}$ with respect to x in order to find f(x,y):

$f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)$

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

$\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}$

Substitute into $\frac{\partial f(x,y)}{\partial y} =N(x,y)$

$2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y$

Integrate $\frac{dg(y)}{dy}$ with respect to y:

$g(y)=\int\ {8y} \, dy =4y^2$

Substitute g(y) into f(x,y):

$f(x,y)=2x^2+4y^2+2xy$

The solution is f(x,y)=C1

$f(x,y)=2x^2+4y^2+2xy=C_1$

Solving y using quadratic formula:

$y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

4 0

3 years ago

The linear scale factor of two shapes is 3:4. If the area of the smallest shape is 72^2 what is the area of the big shape?

Lorico [155]

Answer:

$\boxed{6912 units^2}$

Step-by-step explanation:

<em>Hey there!</em>

Well using the given ratio,

3:4

And the area of the small shape we need to do,

72*72 = 5184

Now we can make the following fractions,

$\frac{3}{4}$ = $\frac{5184}{x}$

Now we can solve,

3*x = 3x

4 * 5184 = 20736

3x = 20736

20736 / 3

x = 6912

So the area of the bigger shape is 6912 units^2

<em>Hope this helps :)</em>

3 0

2 years ago

Emma bought 16 packages of rolls for a party.there were 12 rolls in a package. After the party there were 8 roll left over. How

TiliK225 [7]

Well 16x12=192 then subtract it by 8 and 184 rolls were eaten! OMG

3 0

3 years ago

Read 2 more answers