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OLga [1]
3 years ago
14

3. A cone has a heighth and a base with radius r. You want to change the cone so its volume is tripled. What is the new height i

f you only change the
height?
Mathematics
1 answer:
Sphinxa [80]3 years ago
4 0

Answer:

Hence the new height  is 3 times the original height .(h1=3h)

Step-by-step explanation:

Given:

A cone with  has height and base with radius r .

To Find:

What is new height

Solution:

Consider as cone with height h base radius r, and volume v

Here given that only height changes for the cone  i.e. r remains the unchanged or same or constant

The volume for a regular cone is given by ,

V=pie*r^2*h/3

Here V is directly proportional to h i.ee pie ,3 and r being constant

V=K*h

i.e V/h=constant

V1 and h1 are new dimensions for new cone

V/h=V1/h1

Here V1=3V

So V/h=3V/h1

1/h=3/h1

i.e  h1=3h

Hence the height  is 3 times the original height .

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What is the value of x?
scoray [572]

Answer:

x = 54.6 m

Step-by-step explanation:

Δ MAB and Δ MNP are similar, then corresponding sides are in proportion, that is

\frac{MA}{MN} = \frac{MB}{MP} , substitute values

\frac{80.5-35}{80.5} = \frac{x}{96.6}

\frac{45.5}{80.5} = \frac{x}{96.6} ( cross- multiply )

80.5x = 4395.3 ( divide both sides by 80.5 )

x = 54.6

8 0
3 years ago
Read 2 more answers
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
nydimaria [60]

Answer:

Step-by-step explanation:

As you can see, this is a quadratic equation and if you were to graph this you would see that it is a parabola that opens down because of the negative leading coefficient (-34). The maximum profit would be at the vertex, of the graph. Therefore, we need to find the value of "y" when "x" is the line of symmetry. We find this by  x=-b/(2a) where a = -34 and b = 1542:

x=-1542/(2)(-34)

x=-152/-68

x=152/68  

We put this value of "x" into the original formula to find out the value of "y":

y=-34x^2+1542x-10037

y=(-34)(1542/68)^2+1542(1542/68)-10037

y= -17483.5588235 + 34967.1176471 -10037

y=7446.5588236

Therefore, the maximum profit would be $7446.56.

Hope this helps!

PLS MARK BRAINLIEST THIS TOOK A LOT OF TIME

7 0
3 years ago
R/3+2=21 solve for r
olchik [2.2K]

Answer:

r=63

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    r/3-(21)=0             r

Simplify   —

           3

r    

 — -  21  = 0

 3     2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

         21     21 • 3

   21 =  ——  =  ——————

         1        3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

7 0
3 years ago
Alec starts up a monthly subscription potato box. It costs 18.20 dollars per month,
denis-greek [22]

A. The formula (mathematical function) for the monthly revenue, R, earned by Alec, R(s, n) = <u>$18.20s + $5n</u>.

B.  Using the formula above, the value of R(10, 3) is $197.

<h3>What is a function?</h3>

A function is an expression, rule, or law defining the relationship between an independent variable and a dependent variable.

Functions are used to define physical relationships between variables.

<h3>Data and Calculations:</h3>

Cost monthly subscription = $28.20 per box

Number of normal potatoes in each box = 16

Cost of additional luxury potatoes = $5 per potato

If the monthly revenue function, R, is given as R(s, n) where:

s = number of monthly subscribers

n = total number of luxury potatoes ordered

The monthly revenue, R, earned by Alec, R(s, n) = <u>$18.20s + $5n</u>.

The value of R(10, 3) is $197 ($18.20 x 10 + $5 x 3)

Thus, using the formula above, the value of R(10, 3) is $197.

Learn more about mathematical functions at brainly.com/question/25638609

#SPJ1

6 0
2 years ago
Consider the graph of the quadratic function. Which interval on the x-axis has a negative rate of change?
Gre4nikov [31]

The average rate of change is defined as:

AVR = \frac{f(x2)-f(x1)}{x2-x1}

For AVR to be negative, it must comply with:

x2 - x1> 0

f (x2)

Therefore, we observe that the interval that fulfills these conditions is the whole interval to the right of the parabola.

Among the options given, this interval is:

1 to 2.5

Answer:

An interval on the x-axis that has a negative rate of change is:

D. 1 to 2.5

3 0
3 years ago
Read 2 more answers
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