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Evgesh-ka [11]
2 years ago
15

Work out the perimeter of this semicircle with radius 3cm. Give your answer in terms of π​

Mathematics
1 answer:
kondaur [170]2 years ago
5 0

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

A semicircle is given with radius of 3cm .

And we need to find the perimeter of the semicircle . We know the perimeter as ,

:\implies Perimeter = πr

:\implies Perimeter = 3cm × π

:\implies Perimeter = 3π cm .

Now there is the diameter of circle is 6cm . Hence totally the perimeter is ,

:\implies Perimeter = 3π + 6 cm

We were supposed to give answers in terms of π .

<h3>Hence the perimeter is ( 3π + 6 ) cm</h3>
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The local grocery store sets a bag of dog food for $22. The store pays $13 for the dog food. Which oquation can be used to find
alex41 [277]

Answer: The answer is b

Step-by-step explanation:

4 0
3 years ago
Rationalize the denominator of the fraction: √5/√8 - √3
Lana71 [14]

Answer:

Step-by-step explanation:

Remark

The editor must have brackets put around the denominator when there are 2 terms.

That means I think the question is (√5) / (√8 - √3). If this is incorrect, leave a note.

To rationalize the denominator, you must multiply numerator and denominator by the conjugate  (√8 + √3).

Solution

√5 *  (√8 - √3) /  ( (√8 - √3) *  (√8 + √3)  )  

I don't think there is any point in removing the brackets in the numerator. Just leave it.

The denominator is a different matter.

denominator = ( (√8 - √3) *  (√8 + √3)  )

√8 * √8 = 8

√8 * √3 = √24

- √3 * √8 = - √24

-√3 * √3 = - 3

Take a close look at the 2 middle terms. They cancel out because one of them is plus and the other minus.

What you are left with is 8 - 3 = 5

So the final answer is

√5 *  (√8 - √3)

=============

5

6 0
2 years ago
Marisol constructed a triangle. One angle in the triangle has a measure of 40°. Another angle in the triangle has a measure of 8
Tanzania [10]

Answer:

A triangles angle always equal to 180 degrees. So if you add up what you already have which is 80+40=120

5 0
3 years ago
Reflect the given preimage over y=−1 followed by y=−7. Find the new coordinates. What one transformation is this double reflecti
fenix001 [56]

Answer:

Reflecting over y = -1 line:

A'(8, -10)

B'(10, -8)

C'(2, -4)

Reflecting over y = -7 line:

A''(8, -4)

B'(10, -6)

C''(2, -10)

Step-by-step explanation:

Reflect the given preimage over y=−1 followed

by y=−7. Find the new coordinates. What one transformation is this double reflection the same as? (Note: when you are reflecting over a y= line, the x-values of the preimage will remain the same and you will be changing the y-values)

The coordinates of the preimage are:

A(8,8)

B(10,6)

C(2,2)

Answer: Reflecting over y = -1:

If a point is reflected over a y line, the x values remain the same while the y values change.

For point A(8, 8): The y distance between the y = - 1 line and point A is 9 units. (8- (-1)). If point A is reflected, the y value would be 9 units below the y = -1 line, i.e the new y coordinate would be at -10 (-1-9)

The new coordinate is at A'(8, -10)

For point B(10, 6): The y distance between the y = - 1 line and point B is 7 units. (6- (-1)). If point B is reflected, the y value would be 7 units below the y = -1 line, i.e the new y coordinate would be at -8 (-1-7)

The new coordinate is at B'(10, -8)

For point C(2, 2): The y distance between the y = - 1 line and point C is 3 units. (2- (-1)). If point C is reflected, the y value would be 3 units below the y = -1 line, i.e the new y coordinate would be at -4 (-1-3)

The new coordinate is at C'(2, -4)

Reflecting over y = -7 line:

For point A'(8, -10): The y distance between the y = - 7 line and point A' is 3 units. (-7- (-10)). If point A' is reflected, the y value would be 3 units above the y = -7 line, i.e the new y coordinate would be at -4 (-7+3)

The new coordinate is at A''(8, -4)

For point B'(10, -8): The y distance between the y = - 7 line and point B' is 1 units. (-7- (-8)). If point B' is reflected, the y value would be 1 units above the y = -7 line, i.e the new y coordinate would be at -6 (-7 + 1)

The new coordinate is at B'(10, -6)

For point C'(2, -4): The y distance between the y = - 7 line and point C' is 3 units. (-4- (-7)). If point C' is reflected, the y value would be 3 units below the y = -7 line, i.e the new y coordinate would be at -10 (-7-3)

The new coordinate is at C''(2, -10)

We can also see that h= −7−(−1)=−6. We know that two reflections is the same as a translation of 2h  units down. So 2(−6) is a translation of −12 units down.

5 0
3 years ago
If my radius is 10 what is my circumference
Pavlova-9 [17]

Answer:

Radius, r = 10 cm

Radius, r = 10 cmWe know, Circumference = 2πr=2×π×10=20π cm

The circumference of the circle is

20π cm or about 62.8 cm.

Here's how I did it:

The formula for a circumference of a circle is 2πr , where r is the radius. We can plug our known value of the radius ( 10 cm) into the formula and solve.

2π 10=20π cm or about 62.8 cm.

Step-by-step explanation:

The radius is half as long as the diameter, so the diameter can be thought of as 2r. Keeping this in mind, you can write down the formula for finding the circumference of a circle given the radius: C = 2πr. In this formula, "r" represents the radius of the circle.

Hope it is helpful....

6 0
2 years ago
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