3

A square fits exactly inside a circle with each vertices being on the circumference of the circle. The square has a side length

GarryVolchara [31]

Answer:

Therefore,

The value of x is 5.97 cm.

Step-by-step explanation:

Given:

Let the length of side of Square be "x" cm'.

Radius of Circle be "r"

Area of Circle = 56 cm squared

pi = 3.14

To Find:

x = ?

Solution:

We know Area of Circle is given by,

$\textrm{Area of Circle}=\pi r^{2}$

Substituting the values we get

$56=3.14\times r^{2}\\r^{2}=17.83\\Square\ Rooting\\r=\sqrt{17.83}=4.22\ cm$

We have, a square fits exactly inside a circle with each vertices being on the circumference of the circle,

Vertex Angle of a Square is 90°.

In a Circle Diameter Subtends a Right angle,

So it's Diagonal will be the Diameter,

$Diagonal =Diameter$

$Diameter=2\times Radius$

Substituting the values we get

$Diameter=2\times 4.22=8.44\ cm$

Therefore,

$Diagonal = 8.44\ cm$

Also we know that,

Length of Diagonal of a Square for side "x" is given by,

$Diagonal=\sqrt{2}\times x$

Substituting the values we get

$x=\dfrac{8.44}{\sqrt{2}}=5.967\approx 5.97\ cm$

Therefore,

The value of x is 5.97 cm.

3 0

4 years ago

a survey was conducted among 50 people on the ice cream flavor they like it was found out that 34 like chocolate 18 like manila

Tju [1.3M]

Answer:17.3964 males 7.6035 females

Step-by-step explanation:

The first way to calculate the expected uses the marginal percentages. If sex is not related to flavor preference, you would expect the same percentages of males to prefer the same flavors as females. Since overall 20.71% prefer vanilla, you would expect 20.71% of males to prefer vanilla. Now, 20.71% of 84 people is 17.3964, so this is how many males you would expect to prefer vanilla. You would also expect 20.71% of the females to prefer vanilla, which is 17.6035. So you'd expect 17.3964 males and 17.6035 females to prefer vanilla.

3 0

3 years ago

How do I confirm that f and g are inverses?

Anestetic [448]

Answer:

see explanation

Step-by-step explanation:

To show f and g are inverses we require to show that

f(g(x)) = x and g(f(x)) = x

f(g(x))

= f(6x - 4)

= $\frac{6x-4+4}{6}$ = $\frac{6x}{6}$ = x

-----------------------------------------------------------------------------

g(f(x))

= g( $\frac{x+4}{6}$ )

= ( 6 × $\frac{x+4}{6}$ ) - 4

= x + 4 - 4 = x

-------------------------------------------------

Hence f and g are inverses

4 0

4 years ago

At a charity fundraiser, adult tickets are sold for $12 each and children tickets are sold for $6 each. Write an algebraic expre

Annette [7]

Answer:

the answer is 2

Step-by-step explanation:

7 0

3 years ago

Find the lowest common denominator of the following fractions. 5/n-2 and n+2/n^2-4

Damm [24]

The denominator of the second fraction is the difference of squares, so can be factored using the formula for that.
(n^2 -4) = (n -2)(n +2)

Now, you will note that the second fraction has a numerator that is equal to one of the factors in the denominator. In other words, the whole fraction can be simplified to ...
(n +2)/((n +2)(n -2)) = 1/(n -2) . . . . with the restriction n≠-2

This reduced form of the fraction has the same denominator as the first fraction, so you can say that the lowest common denominator is that: (n -2).

_____
If there is some reason you don't want to reduce the second fraction, the lowest common denominator will be (n -2)(n +2).

6 0

3 years ago