Plz I need this it’s due in 4 minutes plzzz

How much fabric is required to cover x buttons in the shape of a circle whose radius is 3x ?

Leviafan [203]

Radius of 1 button = r = 3x

Fabric required to cover 1 button = Area of the circle

= $\pi r^{2}$

= $\pi (3x)^{2}$

= $9\pi x^{2}$

Total number of buttons = x

Fabric required to cover 1 button = $9\pi x^{2}$

Fabric required to cover x buttons = $x(9\pi x^{2} )$

$=9\pi x^{3}$

Hence, fabric required to cover x buttons $=9\pi x^{3}$ sq. units

3 0

3 years ago

Find the perimeter of a square with side a. Are the perimeter of the square and the length of its side directly proportional qua

inna [77]

The perimeter of a square with side a = 7.2 cm is 28.8 cm. Yes there exists a direct proportional relationship between Side length and Perimeter of square

<h3>Solution:</h3>

Given that side of square "a" = 7.2 cm

We have to find the perimeter of square

The perimeter of square is given as:

Perimeter of square = 4a

Where "a" represents the length of side of square

Substituting the given value a = 7.2 cm in above formula, we get perimeter of square

Perimeter of square = 4(7.2) = 28.8 cm

Are the perimeter of the square and the length of its side directly proportional quantities?

$\begin{array}{l}{\text { perimeter of square }=4 a=4 \times \text { length of side }} \\\\ {\frac{\text { perimeter of square }}{\text { length of side }}=4}\end{array}$

The Perimeter is equal to a constant times the Side length, or the Perimeter divided by the Side length is equal to four. So this is definitely a proportional relationship between Side length and Perimeter.

Two values are said to be in direct proportion when an increase in one results in an increase in the other.

So when length of sides increases, perimeter also increases

Hence perimeter and length of side of square are directly propotional quantities

4 0

3 years ago

What is the remainder if f(x) = x4 – 5x2 - 6x - 10 is divided by x - 3?

bezimeni [28]

Answer:-46

Step-by-step explanation: just took test

5 0

3 years ago

X^2 - 2x = 15 how do I solve this quadratic method? I am stuck on it.... please help

Anarel [89]

Answer:

(x - 5)(x + 3)

Step-by-step explanation:

to solve x² - 2x = 15, we need to get all the terms on one side so we can solve the quadratic equation using factoring. to do this, we subtract 15 from both sides

x² - 2x = 15

- 15 -15

x² - 2x - 15 = 0

now we can factor. we need 2 numbers that when multiplied together give us -15, and when those 2 numbers are added together we get -2

because we have a -15, we can assume that one number must be negative and the other positive, as a negative times a postive is a negative.

we can use 3 and -5 as factors and test it out. we put x in front because we have an x²

(x - 5)(x + 3) < we can FOIL to check to see if this is correct. its not mandatory to check but when you arent sure of the answer you can FOIL it out

FOIL stands for: First, Outside, Inside, and Last terms

F: (x - 5)(x + 3) = x²

O: (x - 5)(x + 3) = -3x

I: (x - 5)(x + 3) = 5x

L: (x - 5)(x + 3) = -15

x² + 3x - 5x - 15 < subtract 3x from 5x

x² - 2x - 15

this checks out, so our answer is (x - 5)(x + 3)

6 0

3 years ago

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HELPPP!!! 50 POINTS AND BRAINLIEST!!! HURRRYYY ASAPP!!

schepotkina [342]

Looks to be adjacent and virtually all of them are there

3 0

2 years ago

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