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
ikadub [295]
2 years ago
13

Let r = 9.4 and L = 18.2. Find surface area of figure

Mathematics
1 answer:
Tatiana [17]2 years ago
5 0

Answer:

surface area of cone =πrl

=22/7*9.4*18.2

=537.68

You might be interested in
Which value of x satisfies the equation below? 4x-7+25
Morgarella [4.7K]

Answer: =4x+18

Step-by-step explanation:

Let's simplify step-by-step.

4x−7+25

=4x+−7+25

Combine Like Terms:

=4x+−7+25

=(4x)+(−7+25)

=4x+18

Answer:

=4x+18

8 0
2 years ago
What is the common difference of the following sequence?<br>3,5,7,9,11___<br><br>16,19,22,25___​
valina [46]

Answer:

the first one goes by 4n-1

the Second sequence goes by 3n + 13

Step-by-step explanation:

using the formula an=a1+d(n-1)

3 0
3 years ago
The plane x + y + z = 12 intersects paraboloid z = x^2 + y^2 in an ellipse.(a) Find the highest and the lowest points on the ell
emmasim [6.3K]

Answer:

a)

Highest (-3,-3)

Lowest (2,2)

b)

Farthest (-3,-3)

Closest (2,2)

Step-by-step explanation:

To solve this problem we will be using Lagrange multipliers.

a)

Let us find out first the restriction, which is the projection of the intersection on the XY-plane.

From x+y+z=12 we get z=12-x-y and replace this in the equation of the paraboloid:

\bf 12-x-y=x^2+y^2\Rightarrow x^2+y^2+x+y=12

completing the squares:

\bf x^2+y^2+x+y=12\Rightarrow (x+1/2)^2-1/4+(y+1/2)^2-1/4=12\Rightarrow\\\\\Rightarrow (x+1/2)^2+(y+1/2)^2=12+1/2\Rightarrow (x+1/2)^2+(y+1/2)^2=25/2

and we want the maximum and minimum of the paraboloid when (x,y) varies on the circumference we just found. That is, we want the maximum and minimum of  

\bf f(x,y)=x^2+y^2

subject to the constraint

\bf g(x,y)=(x+1/2)^2+(y+1/2)^2-25/2=0

Now we have

\bf \nabla f=(\displaystyle\frac{\partial f}{\partial x},\displaystyle\frac{\partial f}{\partial y})=(2x,2y)\\\\\nabla g=(\displaystyle\frac{\partial g}{\partial x},\displaystyle\frac{\partial g}{\partial y})=(2x+1,2y+1)

Let \bf \lambda be the Lagrange multiplier.

The maximum and minimum must occur at points where

\bf \nabla f=\lambda\nabla g

that is,

\bf (2x,2y)=\lambda(2x+1,2y+1)\Rightarrow 2x=\lambda (2x+1)\;,2y=\lambda (2y+1)

we can assume (x,y)≠ (-1/2, -1/2) since that point is not in the restriction, so

\bf \lambda=\displaystyle\frac{2x}{(2x+1)} \;,\lambda=\displaystyle\frac{2y}{(2y+1)}\Rightarrow \displaystyle\frac{2x}{(2x+1)}=\displaystyle\frac{2y}{(2y+1)}\Rightarrow\\\\\Rightarrow 2x(2y+1)=2y(2x+1)\Rightarrow 4xy+2x=4xy+2y\Rightarrow\\\\\Rightarrow x=y

Replacing in the constraint

\bf (x+1/2)^2+(x+1/2)^2-25/2=0\Rightarrow (x+1/2)^2=25/4\Rightarrow\\\\\Rightarrow |x+1/2|=5/2

from this we get

<em>x=-1/2 + 5/2 = 2 or x = -1/2 - 5/2 = -3 </em>

<em> </em>

and the candidates for maximum and minimum are (2,2) and (-3,-3).

Replacing these values in f, we see that

f(-3,-3) = 9+9 = 18 is the maximum and

f(2,2) = 4+4 = 8 is the minimum

b)

Since the square of the distance from any given point (x,y) on the paraboloid to (0,0) is f(x,y) itself, the maximum and minimum of the distance are reached at the points we just found.

We have then,

(-3,-3) is the farthest from the origin

(2,2) is the closest to the origin.

3 0
3 years ago
Which function pass through the points (1, 4), (2, 9), and (3, 16)?
swat32

ANSWER

y=  {(x+ 1)}^{2}

EXPLANATION

The given points are:

(1, 4), (2, 9), and (3, 16)

It is obvious that the function is not linear because there is no constant difference among the y-values.

We can however manipulate the y-values to quickly identify the function.

4 =  {2}^{2}  =  {(1 + 1)}^{2}

9=  {3}^{2}  =  {(2 + 1)}^{2}

16=  {4}^{2}  =  {(3 + 1)}^{2}

We can infer from the pattern that, the function is;

y=  {(x+ 1)}^{2}

8 0
3 years ago
PLEASE HELP! ASAP PLEASE
djverab [1.8K]

Answer:

x = 45

Step-by-step explanation:

x = (360 - 135 * 2) / 2

x = (360 - 270) / 2

x = 90 / 2

x = 45

5 0
3 years ago
Read 2 more answers
Other questions:
  • En el juego de domino son 28 fichas con la cara hacia abajo cual es la probabilidad de sacar la ficha 6-7
    7·1 answer
  • 1._Polynomials_Putting_Pieces_Together.pdf
    8·1 answer
  • there was a 6 square-foot piece of wrapping paper for a birthday present. It takes 3 3/8 square feet of the paper to wrap the pr
    12·1 answer
  • Represent the relationship between days in dollars in a table
    13·1 answer
  • If EF =9x+17 , FG = 35 , and EG=196 , find the value of x
    15·1 answer
  • How do I solve 14=-(p-8)
    7·1 answer
  • Using traditional methods, it takes 108 hours to receive a basic driving license. A new license training method using Computer A
    10·1 answer
  • If a total of 20 cups of onions and carrots were used, how many batches did the chef make
    5·1 answer
  • Please help me anyone and fast too​
    10·1 answer
  • Work out m and c for the line: y = 6 − x
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!