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Len [333]
3 years ago
6

PLEASE. HELP.

Mathematics
1 answer:
jekas [21]3 years ago
6 0
I think the answer is A I’m not sure tho
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A sector with a central angle measure of 4pi/5
ELEN [110]

Answer: the area is 20 square centimeters.

Step-by-step explanation:

The area of an arc of angle x in a circle of radius r is:

A = (x/3.14)*3.14*r^2 = x*r^2

here we have x = (4/5)*3.14 and r = 5cm

Then the area is:

A = (4/5)*(5cm)^2 = 20cm^2

4 0
3 years ago
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A gift box is a rectangular prism. The box measures 12 in by 14 in by 7 in.
Olin [163]

Answer:

1176

Step-by-step explanation:

12 times 7 equals 84.84 times 14 is 1176

4 0
3 years ago
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Complete parts a through c for the given function.
victus00 [196]

Answer:

a. The critcal points are at

x=0,-5,3

b. Then, x = -5   is a maximum and x=3 is a minimum

c. The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

Step-by-step explanation:

(a)

Remember that you need to find the points where

f'(x)=0

Therefore you have to solve this equation.

20x^4  + 40x^3 - 300x^2 = 0

From that equation you can factor out    20x^2  and you would get

20x^2 (  x^2  +2x - 15)  = 0

And from that you would have   20x^2 = 0  , so x = 0.

And you would also have  x^2 +2x-15 = 0.

You can factor that equation as    x^2 +2x -15 = (x+5)(x-3) = 0

Therefore   x=-5 ,   x=3.

So the critcal points are at

x=0,-5,3

b.  

Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

f''(x) = 80x^3 + 120x^2 -600x\\f''(-5) = 80(-5)^3 + 120(-5)^2 -600(-5) = -4000 < 0\\\\f''(3) = 80(3)^3 + 120(3)^2 -600(3) = 1440 > 0 \\

Then, x = -5   is a maximum and x=3 is a minimum

c.

The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

6 0
3 years ago
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M(x)=1/x f(x)=2x-10 find the domain restriction of m(R(x))
AlexFokin [52]

Answer:

  • x ≠ 5

Step-by-step explanation:

<u>Given</u>

  • m(x) = 1/x
  • f(x) = 2x - 10

<u>Composite function</u>

  • m(f(x)) = 1/ (2x - 10)

<u>The denominator can't be zero</u>

  • 2x - 10 ≠ 0
  • 2x ≠ 10
  • x ≠ 5

5 0
2 years ago
5. What is the surface area of this triangular pyramid?
Zielflug [23.3K]
Answer: 5cm




Heiwlqmrbeh
6 0
2 years ago
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