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3 years ago

HELP PLEASE QUICKLY!! Please

Mathematics

1 answer:

Musya8 [376]3 years ago

8 0

7 is the correct answer .........................

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

NNADVOKAT [17]

Answer: The value of x is 5.970.

Step-by-step explanation:

Given: The square has sides length of X cm.

Let r be the radius of the circle.

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

Then diagonal of square = diameter of circle

i.e. $\sqrt{2}x= 2r$ [Diagonal of square = $\sqrt{2}$ (side)]

i.e. $r=\dfrac{x}{\sqrt{2}}$

area of circle = $\pi r^2$

i.e. $56=\frac{22}{7}(\frac{x}{\sqrt{2}})^2$

$56=\frac{22}{7}\times\frac{x^2}{2}\\\\\Rightarrow\ x^2= \dfrac{7}{11}\times56\\\\\Rightarrow\ x^2=35.636\\\\\Rightarrow\ x=\sqrt{35.636}\approx5.970$

Hence, the value of x is 5.970.

4 0

3 years ago

What is the slope and y-intercept of the linear equation y = 5x − 4? M= ? B= ?

Feliz [49]

Answer:

M=5

B= -4

Step-by-step explanation:

y = mx + b

7 0

3 years ago

Read 2 more answers

Now given a rope hanging from the top of a pole. The end lying on the ground is 3 chi long. When tightly stretchedit is 8 chi fr

drek231 [11]

Answer:

Height of the pole = 9.17 chi.

Length of the rope = 12.17 chi.

Step-by-step explanation:

Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.

So, the length of the rope= x + 3 chi.

Let AB represents the pole in the figure, and one end of the rope is at point A.

When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.

The length of the rope = AC.

\Rightarrow AC=x+3 chi.

Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.

So, BC=8 chi.

As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,

$AC^2= AB^2+BC^2$

$\Rightarrow (x+3)^2=x^2+8^2$

$\Rightarrow x^2+6x+9=x^2+64$

$\Rightarrow 6x=64-9=55$

$\Rightarrow x=55/6=9.17$ chi.

Hence, the height of the pole, $AB=x=9.17$ chi,

and the length of the rope, $x+3=9.17+3=12.17$ chi.

8 0

3 years ago

A circle have a diameter of 18 meters. What is its

Sergio [31]

Answer:

A. 56.54867 rounded to 56.56

Step-by-step explanation:

18/2=9

r=9

C=2πr=2·π·

C=2(3.14)(9)

9≈56.54867

3 0

2 years ago

Find the measure of angle A

Ray Of Light [21]

In the fist you have to know: any angle opposite the head is equal in measurement.
so now we know one angle in the triangle it is 82
All corners of the triangle are equal 180
so we have to do this 180-82=98
so we have to collection (4x+8)+(8x-6)=98
12x+2=98
12x=96
x=8
4(8)+8=40
the answer is 40

8 0

2 years ago