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Mrrafil [7]
3 years ago
8

A circle has a diameter 9 cm.

Mathematics
1 answer:
vredina [299]3 years ago
8 0

Answer:

Step-by-step explanation:

Since we are to show by Pythagoras that  the square will fit inside the circle without touching the edge of the circle , this means that we must find the value of the length of the diagonal of the square using Pythagoras.

For the square to fit in without touching the edge of the circle , this means that the diagonal of the square must be less than the diameter of the circle.

Length of the square is 5cm.

Recall Pythagoras theorem: it states that

the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides

D^{2} = 5^{2} + 5^{2}

D^{2} = 25 + 25

D^{2} = 50

Take the square root of both sides , that is

D = \sqrt{50}

D = \sqrt{25} X \sqrt{2} , since 50 = 25 x 2

D = 5\sqrt{2}

D ≈ 7.07

Note that the diameter of the circle given is 9 and D < 9 , we can therefore conclude that the square will fit inside the circle without touching the edge of the circle since the diagonal of the square is less than the diameter of the circle

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If f(x)=3x-6 then find f(4)
masya89 [10]

Answer:

f(4) = 6

Step-by-step explanation:

f(x) = 3x - 6

f(4) = 3(4) - 6

f(4) = 12 - 6

f(4) = 6

8 0
3 years ago
What equation is the inverse of 2(x-2) ^2 =8(7+y)
Delvig [45]

Answer:

- Y=2+√4x+28 -

Step By Step:

Ok so, the original expression is 2(x - 2)² = 8(7 + y).

First you Rewrite the expression as 7 + y = (2/8)*(x-2)² = (1/4)*(x-2)²

So know its; y = (1/4)(x-2)² - 7

To find the inverse, switch x and y, and solve for y.

x = (1/4)(y-2)² - 7

Then you Multiply through by 4

4x = (y-2)² - 28

(y-2)² = 4x + 28

y - 2 = √(4x + 28)

y = 2 +/- √(4x + 28)

5 0
3 years ago
Urgent help……………………:::::::::::
blsea [12.9K]

Answer:

The percentage of people enjoy New years Eve only = 3%

Step-by-step explanation:

The data indicates, The percentage of people enjoy New years Eve = 28%

The percentage of people enjoy New years Eve and Memorial Day = 12%

The percentage of people enjoy New years Eve and Forth of July = 18%

The percentage of people enjoy Enjoy all the three = 5%

The percentage of people enjoy New years Eve only

= The percentage of people enjoy New years Eve

   - The percentage of people enjoy New years Eve and Memorial Day

   - The percentage of people enjoy New years Eve and Forth of July

   + The percentage of people enjoy Enjoy all the three

= 28% - 12% - 18% + 5%

= 3%

5 0
2 years ago
The graph of the equation y=f(x) passes through the points (-3,-5), (-2,-3),(0,1) and (4,9). What is the value of y in the equat
lapo4ka [179]
<h3>Answer:</h3>

-5

<h3>Explanation:</h3>

Each ordered pair is a list of an x-vaue and the corresponding f(x) value.

Hence the first ordered pair listed, (-3, -5), means that when x = -3, f(x) = -5. In other words, f(-3) = -5. By the transitive property of equality,

... y = f(-3) = -5

means

... y = -5

3 0
3 years ago
The graph of f(x) shown below resembles the graph of g(x)=2 but it has been changed her mind which of the following could be the
Tcecarenko [31]

Answer:

A

Step-by-step explanation:

cuz if you pay attention to the y coordinate on f(x) it's 4 instead of 1 as in g(x). this means that y-coordinate is multiplied to 4 therefore 4g(x) and it is vertically shifted up 1 unit and therefore  the equation would be

f(x) = 4g(x) + 1

as g(x) = x²

.:

f(x) = 4x² + 1

8 0
4 years ago
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