1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
katen-ka-za [31]
3 years ago
12

This is the new update of the question

Mathematics
2 answers:
anzhelika [568]3 years ago
8 0

Answer:

d

Step-by-step explanation:

If x represents the slant height, the graph would be a straight line.

If x represents the radius, the graph would be a parabola.

Looking at the answers, we're looking for x to be the slant height, so we're looking for a straight line.

We are looking for g(x). Answers a and b are wrong.

In g(x) r is fixed to 5 (this is given). So the slant height in the smallest possible cone would still be at least 5.

So the domain is x > 5.

d is your answer.

amm18123 years ago
3 0

We have this formula for the surface area of a cone

SA = pi*r*s + pi*r^2

The pi*r^2 portion is the flat bottom part of the cone, which is a circle of radius r. The pi*r*s portion is the lateral surface area. This is the triangular part of the cone, so to speak.

-----------------

"one of the functions represents the surface area of a cone with radius 5 and slant height x". So we can say r = 5 and s = x to go from this

SA = pi*r*s + pi*r^2

to this

SA = pi*5*x + pi*5^2

SA = 5pi*x + 25pi

y = 5pi*x + 25pi

note how this is a linear function in the form y = mx+b

-----------------

"The other function represents the surface area of a cone with slant height 5 and radius x", meaning s = 5 and r = x

SA = pi*r*s + pi*r^2

SA = pi*x*5 + pi*x^2

SA = 5pi*x + pi*x^2

SA = pi*x^2 + 5pi*x

y = pi*x^2 + 5pi*x

This is a quadratic function due to the x^2 term. This graphs out a parabola.

-----------------

The graph given to us has f(x) as the parabola (it's the bowl shaped graph) while g(x) is the straight line

Therefore,

f(x) = pi*x^2 + 5pi*x

g(x) = 5pi*x + 25pi

f(x) is the cone with radius x and slant height 5

g(x) is the cone with radius 5 and slant height x

-----------------

Keep in mind that the slant height of a cone forms the hypotenuse of a right triangle when you do a vertical cross section. If the radius is 5, then the leg of the triangle is 5. The hypotenuse is always longer than either leg, so the hypotenuse x must be larger than 5. A right triangle would not be possible with the hypotenuse x < 5 (you would have to shrink the radius).

<h3>Answer: Choice D) The function g(x) models the surface area of a cone with radius 5, a slant height of x, and has a domain of x > 5</h3>
You might be interested in
ASAP can someone help me solve this problem​
sveta [45]

Answer:

Step-by-step explanation:

x° + y° = 180°

2y° - 0.5x° = 180°

y° = 108°

x° = 72°

3 0
3 years ago
What’s the answer to this problem?
kolbaska11 [484]
Hello :))

82 x 12  = 984

Hope this helps!
7 0
3 years ago
Read 2 more answers
Graph the function f(x) = -3x - 2.
Elza [17]

Answer: slope is -3 and y-intercept is -2

Step-by-step explanation:

when x= 0, y=-2

when x=1, y=-5

i believe you have just to change the value of the letter x in the equation to find the value of y

5 0
3 years ago
Round to the nearest integer 31.4829
Lady_Fox [76]

9514 1404 393

Answer:

  31

Step-by-step explanation:

The fractional part of the given number is 0.4829, which is less than 0.5. That means the nearest integer is the integer below the given number:

  31

8 0
3 years ago
Many has 48 feet of wood he wants to use all of it to create a border around a garden. The equation 2l+2w=48 can be used to find
lord [1]
2L + 2W = 48 

L= 15 feet

substitute the given value to the formula provided.

2(15) + 2W = 48

multiply 2 by 15

30 + 2W = 48

use the subtraction property of equality to cancel the value 30 on the left side. 

30 - 30 + 2W = 48 - 30

cancel 30 on the left side leaving 2W while subtract 30 from 48.

2W = 18

divide both sides to get the value of the width.

2W/2 = 18/2

W = 9ft     this is the final answer.

5 0
2 years ago
Other questions:
  • Write the period that has the number 913
    5·2 answers
  • Eliana is reading a 934 page book. She reads 16 pages per day in the book. If x represents the number of days Eliana has spent r
    6·1 answer
  • )Figure XYZ is reflected about the y-axis to obtain figure X’Y’Z’:
    10·2 answers
  • For the function F(x)=|6x+4|−2, evaluate F(8)
    11·2 answers
  • Rounded to the nearest tenth, how many kilograms is 300 ounces?
    8·1 answer
  • Jeene and her friends were selling cookies. They sold four more boxes second week in the than they did the first week . On the t
    11·1 answer
  • One number is eight less than the second number. Twice the first is 9 more than 3 times the second. Find the numbers
    14·1 answer
  • A water main for a street is being laid using mechanical joint pipe. the pipe comes in 18-foot and 20-foot sections, and a desig
    10·2 answers
  • Please HELP. Picture above
    5·1 answer
  • Does 15/21 and 40/56 form a proportion
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!