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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>
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como calcular la cantidad de horas por proyecto si un contratista tiene 5,000 horas-hombres y el costo es de $10 y $12 por proye
Tju [1.3M]

Answer:

Each project has 2.500 man-hours

Step-by-step explanation:

Available man hours: 5000

For two projects          Costs $

X: project A                     10

Y: project B                     12

Approach:

X + Y = 5000 => X = 5000 - Y

10 * X + 12 * Y = 55000

replacing:

10 * (5000 - Y) + 12 * Y = 55000

50000 - 10 * Y + 12 * Y = 55000

2 * Y = 55000 - 50000

Y = 5000/2

Y = 2500

For X:

X = 5000 - 2500

X = 2500

The number of hours available for each project are:

Projects Man            hours

X: project A              2500

Y: project B              2500

6 0
3 years ago
Plz help wit dis<br> its due today
julia-pushkina [17]

1. Sry, I am confused by this one

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A credit card has an annual percentage rate of 23 988% the balanced owed is $1450.00. Assuming no additional charges are made. W
tatyana61 [14]
The answer should be 120.83
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3 years ago
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IrinaVladis [17]
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Can u help me find the area ​
kirill115 [55]

Answer:

640 units squared

Step-by-step explanation:

The shape below is a trapezoid.

The formula for the  area of a trapezoid is average of the bases times the height.

The bases are the parallel lines that make up 2 of the sides of the trapezoid.

The height is the line dotted line that creates right angles and is the distance between the two bases.

The bases are 24 and 40.

To find the average, we add them together and divide by 2

(24+40)/2=64/2=32

Now, we multiply 32 by the height, which is given as the length of 20.

32*20=640

the area of the trapezoid is 640 units squared

Hope this helps!

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