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Mariana [72]
3 years ago
13

The circumference of a redwood tree trunk is 18π ft, and it is 100 ft tall. What is the approximate volume of the redwood tree t

runk?
810π ft3

3,240π ft3

8,100π ft3

32,400π ft3
Mathematics
1 answer:
sergij07 [2.7K]3 years ago
6 0

Answer:

3,240π ft3

Step-by-step explanation:

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Find the absolute maximum and minimum values of the following function in the closed region bounded by the triangle with vertice
alukav5142 [94]

f(x,y)=2x^2-8x+y^2-8y+2

f_x(x,y)=4x-8=0\implies x=2

f_y(x,y)=2y-8=0\implies y=4

There is one critical point at (2, 4), but this point happens to fall on one of the boundaries of the region. We'll get to that point in a moment.

Along the boundary x=0, we have

f(0,y)=y^2-8y+2=(y-4)^2-14

which attains a maximum value of

f(0,4)=-14

Along y=44, we have

f(x,44)=2x^2-8x+1586=2(x-2)^2+1578

which attains a maximum of

f(2,44)=1578

Along y=2x, we have

f(x,2x)=6x^2-24x+2=6(x-2)^2-22

which attains a maximum of

f(2,4)=-22

So over the given region, the absolute maximum of f(x,y) is 1578 at (2, 44).

8 0
3 years ago
What is the slope- intercept form of 4x+5y=20
True [87]

Answer:

y = -4/5x + 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Standard Form:   4x + 5y = 20

<u>Step 2: Rewrite</u>

  1. Subtract 4x on both sides:                    5y = 20 - 4x
  2. Divide 5 on both sides:                          y = 4 - 4/5x
  3. Rearrange:                                              y = -4/5x + 4
5 0
3 years ago
What is the area of this triangle 8m and 6m
mr_godi [17]
Area for triangles is 1/2b * h.

If 8m were the height, then the area is 24 sq m.

If 6m were the height, then the area is still 24 sq m.

The area is 24 sq m.

Hope this helps! Have a great day :)




4 0
3 years ago
When Sally was a Freshman, her soccer team had 13 players. By her senior year, Sally’s soccer team grew to 17. What is the perce
ra1l [238]

Answer:

about 31 percent

Step-by-step explanation:

5 0
3 years ago
When 18 is added to 6 times a certain number the result is 168. what is the number
Vlad1618 [11]
18+6x?= 168
try taking away the 18 and 6 then dividing it 

3 0
3 years ago
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