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Vera_Pavlovna [14]
3 years ago
12

A circle has a sector with area 27 and central angle of 120

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
6 0

Answer:

81π

Step-by-step explanation:

-The sum of central angles in a  circle add up to 360°.

-Let x be the area of the circle.

-Given the area of a 120° is 27π, the circles area can be calculated as:

A=27\pi\\\\120\textdegree=27\pi\\360\textdegree=x\\\\\therefore x=\frac{360\textdegree\times 27\pi}{120\textdegree}\\\\=3\times 27\pi\\\\=81\pi

Hence, the area of the circle is 81π

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If you shift the quadratic parent function, f(x)=x2 , right 10 units, what is the equation of the new function?
tiny-mole [99]

Answer:

Step-by-step explanation:

The standard form of a quadratic is

y=a(x-h)^2+k where h is side to side movement (it's also the x coordinate of the vertex) and k is the up or down movement (it's also the y coordinate of the vertex). If there is no up or down movement, the k value is 0. (We don't need to worry about the value for a here; it's 1 but that doesn't change anything for us in our problem). Movement to the right is positive, so we are moving +10. Filling that into our equation:

y=(x-(+10))^2 and simplified:

y=(x-10)^2  That is the parent graph shifted 10 units to the right.

8 0
3 years ago
What is the value of x?<br><br> A) x = 32<br> B) x = 36<br> C) x = 37<br> D) x = 40
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Answer:

Step-by-step explanation:

7 0
2 years ago
If p+1/p - 7 then find the value of p³+1/p³ ​
ankoles [38]

Answer:

322

Step-by-step explanation:

We have,

a^3+b^3=(a+b)^3-3ab(a+b)

p+1/p=7

Now,

p^3+1/p^3=(p+1/p)^3-3*p*1/p(p+1/p)

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5 0
2 years ago
Two positive consecutive odd numbers of 143
NNADVOKAT [17]
You can't have two odd numbers equal an odd number(143).
5 0
3 years ago
Read 2 more answers
3 x 5 = 15 Write a related multiplication fact.
Talja [164]

The related multiplication fact to 3 x 5 = 15 is 4 x 3 = 12

<h3>Multiplication Facts</h3>

Given:

3 x 5  =  15

The expression a x b = c means that a is added to itself b times to give c

3x 5 means adding 3 in 5 places

That is:

3 x 5 = 3 + 3 + 3 + 3 + 3

A related multiplication fact is:

4 x 3 = 12

This is true because:

4 x 3 = 4 + 4  + 4  = 12

Learn more on multiplication facts here: brainly.com/question/10873737
#SPJ1

3 0
1 year ago
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