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3 years ago

Circumference = 314 cm Diameter = Radius =

Mathematics

1 answer:

fenix001 [56]3 years ago

4 0

Answer:

D=100

R=50

Step-by-step explanation:

Diameter can be found by dividing the circumference by pi (314/3.14=100). Dividing the diameter in halve is used to find the radius (100/2=50).

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Decompose x^2+4x-3/x-2

mariarad [96]

Answer:

$\dfrac{x^3-2x^2+4x-3}{x-2}$

Step-by-step explanation:

The given equation is :

$x^2+\dfrac{4x-3}{x-2}$

We need to decompose this equation.

We have,

$x^2+\dfrac{4x-3}{x-2}\\\\=\dfrac{x^2(x-2)+4x-3}{x-2}\\\\=\dfrac{x^3-2x^2+4x-3}{x-2}$

So, $\dfrac{x^3-2x^2+4x-3}{x-2}$ is the decomposed form of the given expression.

5 0

2 years ago

Find the estimates of x^2-x-2=3

Julli [10]

Answer:

$x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79$

Step-by-step explanation:

Given

Quadratic equation is

$x^2-x-2=3\\x^2-x-5=0$

Roots of the quadratic equation $ax^2+bx+c=0$ are

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\$

So, for the given equation roots are

$x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79$

5 0

3 years ago

The radius of a circle is 20 cm. Find its area in terms of π π.

natulia [17]

Answer:

A = $400\pi cm^2$

Step-by-step explanation:

Area of a circle is:

A = πr²

We are given a radius of 20 cm.

A = πr²

A = π(20)²

A = π400

Hope this helps.

4 0

2 years ago

33 more than the product of 7 and a number x is less than 26.

iogann1982 [59]

7x +33 < 26 isolate the term with a variable by subtracting 33
7x < -7 divide by 7
x < -1

6 0

3 years ago

A cube has a volume of 216 cubic inches. What is the length of each edge of the cube?

KatRina [158]

Volume of a cube = (edge)^3

In this problem,

Volume = 216in^2

Edge = ?

Let's plug our values into the formula above.

216in^3 = (edge)^3

Take the cbrt of both sides.

6in = edge

The length of each edge = 6in

3 0

3 years ago

Read 2 more answers