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allochka39001 [22]
3 years ago
10

central angle of a sector is 72° and the sector has an area of 16.2(pie) ft^2. what is the radius of the circle?

Mathematics
1 answer:
Cloud [144]3 years ago
6 0
Sector area = (central angle / 360) * PI * radius^2
sector area = (72 / 360) * PI * radius^2
radius^2 = sector area / [(72 / 360) * PI]
radius^2 = 16.2 * PI / [(1 / 5) * PI]
radius^2 = 16.2 / .2
radius^2 = 81
radius = 9

Source:
http://www.1728.org/radians.htm



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Find the least common denominator x^4/x^2+2x+1 and -8/x^2+5x+4
Harman [31]

Answer:

(x + 4)(x + 1)(x + 1)   or (x + 4)(x + 1)²

Step-by-step explanation:

Factor both denominators and see what you are missing between them

(x^4)/[(x + 1)(x + 1)           -8/[x + 4)(x + 1)]

So in order to get a common denominator, we need

(x + 4)(x + 1)(x + 1) as a denominator, or (x +4)(x + 1)²

6 0
3 years ago
Which could be the function?
sladkih [1.3K]

Answer:

f(x)=(x-4)^{2}

Step-by-step explanation:

we have that

The axis of symmetry shown in the graph is x=4

we know that

The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

so

<em>Verify each case</em>

<em>case a)</em> we have

f(x)=(x+4)^{2}

The vertex is the point (-4,0)

therefore

Cannot be the function

<em>case b)</em> we have

f(x)=x^{2}+4

The vertex is the point (0,4)

The axis of symmetry is x=0

therefore

Cannot be the function

<em>case c)</em> we have

f(x)=(x-4)^{2}

The vertex is the point (4,0)

The axis of symmetry is x=4

therefore

Could be the function

<em>case d)</em> we have

f(x)=x^{2}-4

The vertex is the point (0,-4)

The axis of symmetry is x=0

therefore

Cannot be the function

8 0
3 years ago
Read 2 more answers
Can you help me with this it’s so confusing plz help me with both is this
mars1129 [50]

Answer:

First picture: -4,913

Second picture: 20.25

Step-by-step explanation:

-17^5/-17^2 = -17^3

-17 × -17 × -17 = -4913

4.5^5/4.5^3 = 4.5^2

4.5 × 4.5 = 20.25

Do you see how I had the same whole number on the top and bottom? (17 was on top and 17 was on bottom)

The exponents were those tiny numbers you saw.

Whenever you are dividing by the same whole number (-17/-17), you can subtract exponents.

When you multiply the same whole number, you can add the exponents.

Hope this helps! Best of luck :)

5 0
3 years ago
tell whether the system has one solution, infinitely many solutions, or no solution. x = -7y + 24 x + 7y = 32
mylen [45]
This system has no solution.
x = -7y + 24 can be rewritten as x = 24 - 7y
to simplify x + 7y = 32, we have to subtract 7y from both sides
x = 32 - 7y
Now, our system is as follows:
x = 24 - 7y
x = 32 - 7y


7 0
3 years ago
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kicyunya [14]

Answer:

140yd2

Step-by-step explanation:

4 0
3 years ago
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