How do I solve this problem?

This question is incomplete, the complete question is;

Find the dimensions of the right circular cylinder of maximum volume that can be placed inside of a sphere of radius R(10cm)

What is the maximum volume?

Answer:

a) Dimensions of the cylinder are; Radius = 8.1650 cm , Height = 11.547 cm

b) the maximum volume is 2418 cm³

Step-by-step explanation:

From the image

radius of the sphere is 10cm

radius of the cylinder is x and its height is 2y

so

The volume of cylinder  is V = πr²h = πx²(2y)

Get V as function of just one variable x² + y² = 100

x² = 100 - y²

Therefore V = π( 100-y² )(2y) = 200πy-2πy³

V will be a maximum when V' = 0

V' = 200π - 6πy² =0

y² = 200π / 6π = 100/3

y = √(100/3) = 5.7735

x² = 100 - y²

x² =100 - (100/3)

x = √(200/3)

x = 8.1650

So The maximum volume will occur when the radius is 8.1650 cm

and the height 2y is 2(5.7735) = 11.547 cm

The maximum volume is

πr²h = π(8.1650)² (11.547 )  

= 2418 cm³

Therefore the maximum volume is 2418 cm³

Answer:

x = 19

Step-by-step explanation:

Trapezium area formula: [tex]\frac{a+b}{2} * h[/tex], where a & b are the two bases.

Now, if we plug in our known values, we can solve for the missing base.

[tex]\frac{5 + x}{2} * 4 = 48[/tex]

[tex]\frac{5 + x}{2} = 12\\\\5 + x = 24\\\\x = 19[/tex]

Answer:

Yes I would have to agree with Goliath, x = 19.

Step-by-step explanation:

You can mark Goliath Brainlest if you want they did the answer first.

Answer: 3,583.32

Step-by-step explanation:

Use money chimp calculator

Answer:

Where is the figure?

Step-by-step explanation:

A ray looks like this though:

Answer:

transformations of function 3(-7(x+2))-4

Answer:

ITS THE 2ND ONE

Step-by-step explanation:

Answer:

y = 5/4x - 1

Step-by-step explanation:

if you look at the graph you will probably be able to tell

im not trying to be me if you think

Answer:

The correct equation for the graph is B.) y = x- 3

Answer:

B

Step-by-step explanation:

the right answer us B is that right

Answer:

8.25 batches.

(Or, if rounding to the lowest amount of batches, 8 batches)

Step-by-step explanation:

We have in total 5 1/2 cups of sugar.

And the recipe calls for 2/3 cups of sugar.

So, to find out how many batches we can make, we can divide the amount of have by the amount needed. So:

[tex]5\frac{1}{2}\div\frac{2}{3}[/tex]

Let's convert the first fraction to improper form. We have 5 1/2. So, in improper form, it will be (5(2)+1)/2 or 11/2.

Therefore:

[tex]=\frac{11}{2}\div\frac{2}{3}[/tex]

To divide fractions, we keep, change, and flip. Therefore:

[tex]=\frac{11}{2}\times\frac{3}{2}[/tex]

Multiply straight across:

[tex]=\frac{33}{4}=8.25[/tex]

So, we can make 8.25 batches.

Or, we can make 8 full batches.

Answer:

A.

Step-by-step explanation:

We have the expression:

[tex]-6a+2(2a+2)[/tex]

First, let’s distribute the 2 on the right:

[tex]=-6a+2(2a)+2(2)[/tex]

Multiply:

[tex]=-6a+4a+4[/tex]

Now, combine like terms:

[tex]=-2a+4[/tex]

Hence, our answer is A.

Answer:

a

Step-by-step explanation:

Answer:

a= 336 different ways

b= 10 possible combinations

Step-by-step explanation:

As it is a definite machine and it must have ordered combinations therefore it is a permutation question . So finding 3 out of eight

8 P 3= 336  different ways the eight machines be arranged in the three spaces available.

Since the parts are randomly selected and there is no distinct pattern therefore combinations is used to solve this.

5C2 = 10 possible combinations of two parts can be selected.

Answer:

a) Kylie has 8 marbles

b) 7 Cylinders

c) 17 carrots

d) 8 marbles belong to Shauntay

Step-by-step explanation:

5. Identify the type and subtype of each of the fol-

lowing problems.

a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?

Shawn = 15 marbles

S = K + 7

15 = K + 7

K = 15 - 7

K = 8 marbles

Kylie has 8 marbles

b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?

T = 12 blocks

Cubes = 5

Cylinders = the rest

12 blocks = Cubes + Cylinders

Cylinders = 12 - Cubes

Cylinders = 12 - 5

Cylinder = 7

c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?

Number of carrots Peter has before

= Number of carrots he ate + Number of carrots he has now

= 14 + 3

= 17 carrots

d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?

Total number of Marbles = 17

Kelly = 9 marbles

Shauntay = ?

Total = Kelly + Shauntay

Shauntay = Total - Kelly's marbles

= ( 17 - 9) marbles

= 8 marbles

8 marbles belong to Shauntay

Answer:

a) Kylie has 8 marbles

b) 7 Cylinders

c) 17 carrots

d) 8 marbles belong to Shauntay

Step-by-step explanation:

5. Identify the type and subtype of each of the fol-

lowing problems.

a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?

Shawn = 15 marbles

S = K + 7

15 = K + 7

K = 15 - 7

K = 8 marbles

Kylie has 8 marbles

b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?

T = 12 blocks

Cubes = 5

Cylinders = the rest

12 blocks = Cubes + Cylinders

Cylinders = 12 - Cubes

Cylinders = 12 - 5

Cylinder = 7

c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?

Number of carrots Peter has before

= Number of carrots he ate + Number of carrots he has now

= 14 + 3

= 17 carrots

d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?

Total number of Marbles = 17

Kelly = 9 marbles

Shauntay = ?

Total = Kelly + Shauntay

Shauntay = Total - Kelly's marbles

= ( 17 - 9) marbles

= 8 marbles

8 marbles belong to Shauntaya) Kylie has 8 marbles

b) 7 Cylinders

c) 17 carrots

d) 8 marbles belong to Shauntay

Step-by-step explanation:

5. Identify the type and subtype of each of the fol-

lowing problems.

a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?

Shawn = 15 marbles

S = K + 7

15 = K + 7

K = 15 - 7

K = 8 marbles

Kylie has 8 marbles

b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?

T = 12 blocks

Cubes = 5

Cylinders = the rest

12 blocks = Cubes + Cylinders

Cylinders = 12 - Cubes

Cylinders = 12 - 5

Cylinder = 7

c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?

Number of carrots Peter has before

= Number of carrots he ate + Number of carrots he has now

= 14 + 3

= 17 carrots

d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?

Total number of Marbles = 17

Kelly = 9 marbles

Shauntay = ?

Total = Kelly + Shauntay

Shauntay = Total - Kelly's marbles

= ( 17 - 9) marbles

= 8 marbles

8 marbles belong to Shauntay

Step-by-step explanation:

Answer:

? = 45º

Step-by-step explanation:

top right angle = 180-45 = 135º

high middle left angle = 135º

high middle right angle = 45º

low middle left angle = 45º

low middle right angle = 135º

bottom left angle = 135º

bottom right angle = 45º

Answer:

$15 an hour

Step-by-step explanation:

To find this, we divide 120 by 8.

120 ÷ 8 = 15

So Jane gets $15 an hour

I hope this helped, please mark Brainliest, thank you!

Answer:

Explained below.

Step-by-step explanation:

The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1262 chips and standard deviation 118 chips. ​

(a)

Compute the probability that a randomly selected bag contains between 1000 and 1400 chocolate​ chips as follows:

[tex]P(1000<X<1400)=P(\frac{1000-1262}{118}<\frac{X-\mu}{\sigma}<\frac{1400-1262}{118})\\\\=P(-2.22<Z<1.17)\\\\=P(Z<1.17)-P(Z<-2.22)\\\\=0.87900-0.01321\\\\=0.86579\\\\\approx 0.8658[/tex]

Thus, the probability that a randomly selected bag contains between 1000 and 1400 chocolate​ chips is 0.8658.

(b)

Compute the probability that a randomly selected bag contains fewer than 1000 chocolate​ chip as follows:

[tex]P(X<1000)=P(\frac{X-\mu}{\sigma}<\frac{1000-1262}{118})\\\\=P(Z<-2.22)\\\\=0.01321\\\\\approx 0.0132[/tex]

Thus, the probability that a randomly selected bag contains fewer than 1000 chocolate​ chip is 0.0132.

(c)

Compute the proportion of bags that contains more than 1200 chocolate​ chips as follows:

[tex]P(X>1200)=P(\frac{X-\mu}{\sigma}>\frac{1200-1262}{118})\\\\=P(Z<-0.53)\\\\=0.29806\\\\\approx 0.2981[/tex]

Thus, the proportion of bags that contains more than 1200 chocolate​ chips is 0.2981.

(d)

Compute the percentile rank of a bag that contains 1125 chocolate​ chips as follows:

[tex]P(X<1125)=P(\frac{X-\mu}{\sigma}<\frac{1125-1262}{118})\\\\=P(Z<-1.16)\\\\=0.12302\\\\\approx 0.123[/tex]

Thus, the percentile rank of a bag that contains 1125 chocolate​ chips is 12.3rd.

Answer: The answer is -4. Hope this helps!

Answer:

y=-3(-4)+5,,,, you get y=12+5  y=17

y=-3(-2)+5,,,, you get y=6+5  y=11

y=-3(0)+5,,,, you get y=0+5  y=5

y=-3(2)+5,,,, you get y=-6+5 y=-1

Step-by-step explanation:

Answer:

I'm thinking it's 9

Step-by-step explanation:

Answer:

4500

Step-by-step explanation:

As long as your number isn't less than 500, it will always round up.

The required least weight of the elephant is 4500 pounds.

Given that,
When rounded to the nearest thousand an elephant weight is 5,000 pounds. What is the least amount the elephant could weigh is to be determined.

The process in mathematics to operate and interpret the function or expression to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here, in the question, the rounded value of the elephant is given which is 5000 pounds, the least value that can be round to the nearest hundred is 4500.

Thus, the required least weight of the elephant is 4500 pounds.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2

Answer:

D, m<4 is 137°

Step-by-step explanation:

The answer would be D, because m<4 would be supplementary with the angle that's 43 degrees. Supplementary angles add up to 180, so this could be found through the following equation.

x + 43 = 180

x would represent <4

You would now subtract 43 from both sides.

x = 137

Answer:

D. The m<4 is 137°

Step-by-step explanation:

The rest of the angles are not correct because if you add 142+56 (adjacent angles) or the unknown angles (angle 1 + angle 2), it doesn't equal 180. You can picture it as angle 3 and its adjacent angle (56°) equal to 180 sience there sharing one straight line thus being 180°

Answer:

Step-by-step explanation:

1). x + 6y = 12 ⇔ y = [tex]-\frac{1}{6}[/tex] x + 2

3(x - 2) = - y - 4 ⇔ y = - 3x + 2

There is not significant relation between slopes such as:

- "the same" for parallel or the same lines;

- "opposite reciprocals" for perpendicular lines;

Thus, there is only answer option left: "The lines intersect at an angle other than 90°."

2). A(- 2, 3), B(- 2, - 7), C(4, - 5)

AC = [tex]\sqrt{(-2-4)^2 +(3+5)^2}[/tex] = 10

AB = 10

BC = [tex]\sqrt{(-2-4)^2 +(-7+5)^2}[/tex] = 2√10

Triangle is Isosceles.

Answer:

The maximum value of the table t(x) has a greater maximum value that the graph g(x)

Step-by-step explanation:

Hope this helps :P

Answer:

D. 9

General Formulas and Concepts:

Alg I

Step-by-step explanation:

The meaning of f(2) is x = 2. The question is asking us to find the y-value when x = 2.

According to the graph, when x = 2, y is somewhere between 8 and 10. The graph looks like it intersects right in the middle of those 2, so the y-value when x = 2 would be 9.

Therefore, f(2) = 9.

Answer:

Step-by-step explanation:

9 is the correct answer

Answer:

the problem is like that or is showing u how are the equations ?

Answer:

Umm it has no photo so we can't see the table

Step-by-step explanation:

Umm it has no photo so we can't see the table

Answer: I had the same problem and someone else gave me the answer, the answer is B :>

Answer:

D : 1/9^5

Step-by-step explanation:

you would first start off by subtracting the powers ( 7-2 ), which gives us 5. That then gives you 9^5, however, 9^5 gives you 59049, and the original problem's answer was 1/59049. When you divide 1 by 9^5, you get 1/59049, which is the same as the original answer.