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3 years ago

A square piece of paper has an area of 36 square inches what is the perimeter of the paper

Mathematics

1 answer:

Gekata [30.6K]3 years ago

6 0

Lets represent the side of the square as s , since we know the area is 36. write s

${s}^{2} = 36$

$s = \sqrt{36}$

the square root of 36 is 6. So, we know the side is 6. The formula for perimeter is P= s+s+s+s , but since it is a square and all the sides are equal, for a perimeter of a square you can do p= 4s , now substitute 6 for s to get 4(6)=24 so the perimeter of a square would be 24 inches

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What is the solution to the system of equations? Use the substitution method to solve the system of equations. Show all of your

Luden [163]

Answer:

The solution would be (0, 5)

Step-by-step explanation:

In order to solve this system by substitution, simply take the value of y in the first equation and use it in place of y in the second. This will allow you to solve for x.

4x + 4y = 20

4x + 4(x + 5) = 20

4x + 4x + 20 = 20

8x + 20 = 20

8x = 0

x = 0

Now that we have the value of x, we can find the value of y.

y = x + 5

y = 0 + 5

y = 5

5 0

4 years ago

If (x+2) is a factor of x^3-6x^2+kx+10, k=

tensa zangetsu [6.8K]

If a polynomial is divisible by $x-a$ , then $a$ is a root of this polynomial.
Here (x-a) is equal to x+2:

$x-a=x+2 \\
-a=2 \\
a=-2$

So -2 is a root of the polynomial. That means <span>x³-6x²+kx+10</span>=0 for x=-2. Now substitute -2 for x in the equation and solve for k:

$(-2)^3-6 \times (-2)^2+ k \times (-2)+10=0 \\
-8-6 \times 4-2k+10=0 \\
-8-24-2k+10=0 \\
-2k-22=0 \\
-2k=22 \\
\boxed{k=-11}$

5 0

4 years ago

Which best explains the formula?

satela [25.4K]

Answer:

Therefore the first option is the best to explain the above Formula.

The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Step-by-step explanation:

Given:

∠ ZYX = center angle

ZY = XY =Radii of Same Circle

Yellow Color Area in the Figure below = area

of the shaded sector

Solution:

Area Of Sector For an angle 'θ' is given as

$\textrm{Area Of Sector}=\dfrac{\theta}{360\°}\times \pi r^{2}$

Where,

$\theta=\textrm{Center Angle}\\\\360\°=\textrm{Total Angle measure of a Circle}\\\\\pi r^{2}= \textrm{Area of a Circle}$

Here,

Center Angle is ∠ ZYX = θ

Therefore the first option is the best to explain the above Formula.

The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.