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3 years ago

The diameter of a circle is 18 centimeters. what is the radius? d=18 cm give the exact answer in simplest form.

1 answer:

4 0

The diameter of the circle is 18 cm.

The radius is one half the diameter.
Therefore the radius is 18/2 = 9 cm

Answer: 9 cm

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in the figure below trianglePQM and triangleQRP are right triangles. the measure of lineQM is 6 and the measure of lineQP is 8.

Kipish [7]

Answer:

Option 4 is correct. The length of PR is 6.4 units.

Step-by-step explanation:

From the given figure it is noticed that the triangle PQR and triangle MQR.

Let the length of PR be x.

Pythagoras formula

$hypotenuse^2=base^2+perpendicular^2$

Use pythagoras formula for triangle PQM.

$PM^2=QM^2+PQ^2$

$PM^2=(6)^2+(8)^2$

$PM^2=36+64$

$PM^2=100$

$PM=10$

The value of PM is 10. The length of PR is x, so the length of MR is (10-x).

Use pythagoras formula for triangle PQR.

$PQ^2=QR^2+PR^2$

$(8)^2=QR^2+x^2$

$64-x^2=QR^2$ .....(1)

Use pythagoras formula for triangle MQR.

$MQ^2=QR^2+MR^2$

$(6)^2=QR^2+(10-x)^2$

$36=QR^2+x^2-20x+100$

$36-x^2+20x-100=QR^2$ .... (2)

From equation (1) and (2) we get

$36-x^2+20x-100=64-x^2$

$20x-64=64$

$20x=128$

$x=6.4$

Therefore length of PR is 6.4 units and option 4 is correct.

3 0

3 years ago

Which number should be added to both sides of the equation to complete the square x^2-10x=7

mixer [17]

Answer:

Step-by-step explanation:

The number that needs to be added is the square of half the x-coefficient:

(-10/2)^2 = 25

_____

Adding that gives ...

(x -5)^2 = 32

x = 5 ± 4√2

5 0

4 years ago

Please show your work!!

jarptica [38.1K]

Answer:OK ILL HELP

Step-by-step explanation:Combine

and

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6 0

3 years ago

Need help on this problem

trasher [3.6K]

The answer to the question

3 0

3 years ago

Try it, let's see can u do or not

Firlakuza [10]

Answer:

Step-by-step explanation:

8 0

3 years ago

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