If the sphere has a volume of approximately 904.78 cm3, what is the approximate area of the largest cross-section of the sphere shown? A) 28.27 cm2 B) 113.1 cm2 C) 226.2 cm2 D) 452.39 cm

Answers

Answer 1

Final answer:

Given a sphere with a volume of 904.78 cm3, we find the radius to be approximately 6.13 cm, and the area of the largest cross-section, a circle, turns out to be approximately 118.08 cm2.

Explanation:

If the sphere has a volume of approximately 904.78 cm3, we can start by calculating the radius of the sphere using the volume formula for a sphere:

V = (4/3)πr3

Solving for r:

r = &Sqrt[3]{(3V)/(4π)} = &Sqrt[3]{(3×904.78 cm3)/(4π)} ≈ 6.13 cm

The largest cross-section of the sphere will be a circle with the diameter equal to the diameter of the sphere, hence the area A of this circle will be:

A = πr2 = π×(6.13 cm)2 ≈ 118.08 cm2

Therefore, the approximate area of the largest cross-section of the sphere is 118.08 cm2, which is not listed among the provided options, implying a possible typo or error in the options. Option closest to the calculated area is B) 113.1 cm2.


Related Questions

The inverse of G(x) is a function.
A. True
B. False

Answers

Answer:

this is false

Step-by-step explanation:

lines that curve can function but if the line that curves hit say "the y is twice it is not a function it is only a function if it does not hit a line twice" this isnt a function because it hits the y axis twice.  

Round to the nearest hundredth 4.644

Answers

Answer:

4.64

Step-by-step explanation:

the number that comes after the hundreth place(4) is less than 5 so you keep all of the other numbers the same

it's 4.64 bc it's less than 5 so it stays the same

i am having a hard time with this page if someone can help me i will appreciate it a lot!!

Answers

Answer:

#1 is It could be another girl or it could be a boy

#2 is Its could be another boy or it could be a girl.

The diagram should look like this:

BB. BG

GB GG

#4 is 4

#5 is 1

#6 is there is 1/2 a change the baby can be a girl and a 1/2 change the baby can be a boy. For both of them to be girls; it would be 1/4 chance.

For Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.



(1) Write an expression that represents the total cost of the bouncy house for c children to jump.



(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?






For Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.



(1) Write an expression that represents the total cost of the bouncy house for c children to jump.



(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?






For Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.



(1) Write an expression that represents the total cost of the bouncy house for c children to jump.



(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?






vFor Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.



(1) Write an expression that represents the total cost of the bouncy house for c children to jump.



(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?

For Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.



(1) Write an expression that represents the total cost of the bouncy house for c children to jump.



(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?











For Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.



(1) Write an expression that represents the total cost of the bouncy house for c children to jump.



(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?






For Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.



(1) Write an expression that represents the total cost of the bouncy house for c children to jump.



(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?






vFor Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.



(1) Write an expression that represents the total cost of the bouncy house for c children to jump.



(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?






For Sue’s party, her family rented a bouncy house for $150 plus $2 per child, c.



(1) Write an expression that represents the total cost of the bouncy house for c children to jump.



(2) A total of 15 children attended Sue’s party, including Sue. What was the total cost?






v85g5c

Answers

1) The expression that represents the total cost of the bouncy house for c children is:Total Cost} = 150 + 2c 2) The total cost for the bouncy house for 15 children is $180.

(1) The expression that represents the total cost of the bouncy house for c children is given by: Total Cost} = 150 + 2c

(2) Given that a total of 15 children attended Sue’s party, including Sue, substitute c with 15 in the expression:

Total Cost} = 150 + 2 * 15

Total Cost} = 150 + 30

Total Cost} = 180

Therefore, the total cost for the bouncy house for 15 children is $180.

Y = 3x +5
Y = 4x - 2
What is Y?

Answers

x is 6 and y is 23 :)

Find the scale factor of figure A to Figure B.

Answers

Answer:

Step-by-step explanation:

The scale factor from figure a to figure b would be 1/16 i believe.

Correct me if im wrong

The scale factor of figure A to figure B is 5/9.

In the given figure, A and B are similar triangles.

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Here, 20/36

= 5/9

= 14/25.2

= 2/3.6

= 5/9

Hence, the scale factor of figure A to figure B is 5/9.

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*WILL MAKE BRAINLIEST*

which statement about these triangles is true?


a) The dilation is an enlargement.

b) The dilation is a reduction.

c) It is not a dilation.

d) There is not enough information.​

Answers

Answer:

Not sure, but I would put A

Step-by-step explanation:



a) The dilation is an enlargement

3. Roberto wants to reduce a drawing that is 12 inches long by 9 inches wide. If his new drawing is 8 inches long, how wide will it be?

Answers

Answer:5 inches wide

Step-by-step explanation:

12-8 (long)=4

9-4 (getting the new drawings length so you subtract)=5

12-8 = 4 so 9-4 = 5. answer = 6

Which number is equivalent to -(-2)?

Answers

Answer:

2

Step-by-step explanation:

negative times a negative is a positive

Final answer:

In mathematics, a double negative gives a positive result. Therefore, -(-2) equals 2, so the number equivalent to -(-2) is 2.

Explanation:

In Mathematics domain, the double negative rule states that the 'negative of a negative is a positive'. It suggests that if you have two negative signs, one turns the other into a positive. So, -(-2) is equals to +2. In simpler terms, if you have a negative number and you negate it, you get the positive version of that number. Therefore, the number that is equivalent to -(-2) is 2

.

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Alice has two flying disks. One is 12 cm in a diameter and the other is 24 cm in diameter. What is the difference in cubic centimeters between the areas of the two flying disks? Can someone please explain it to me, I need help!

Answers

Final answer:

The difference in cubic centimeters between the areas of the two flying disks is 144π cm³.

Explanation:

To find the difference in cubic centimeters between the areas of the two flying disks, we need to calculate the volumes of the disks and then find the difference between them. The volume of a disk can be calculated using the formula V = (π * r^2 * h) / 3, where r is the radius and h is the height. Since the disks are 2-dimensional, we can assume their height is negligible.

For the disk with a diameter of 12 cm (radius = 6 cm), the volume is (π * 6^2 * 0) / 3 = 0 cm³.

For the disk with a diameter of 24 cm (radius = 12 cm), the volume is (π * 12^2 * 0) / 3 = 144π cm³.

The difference in cubic centimeters between the areas of the two flying disks is 144π cm³.

what goes in the blanks

Answers

Step-by-step explanation:

2x² + x - 28

= 2x² + ( 8 - 7)x - 28

= 2x² + 8x - 7x - 28

= 2x ( x + 4) - 7( x + 4)

= (x + 4) (2x - 7)

Hope it will help you :)

15 subtracted from the product of a number and 4 is -59. Just write equation do not solve please

Answers

Answer:

15-x+4=-59

Step-by-step explanation:

The equation of 15 subtracted from the product of a number and 4 is -59 is 4x - 15 = -59.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 15 is subtracted from the product of a number and 4 is -59. The expression will be written by assuming that the unknown number is x.

The expression is written as,

4x - 15 = -59

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When you declare a function?






Answers

Answer:

It is always recommended to declare a function before its use so that we don't see any surprises when the program is run

Step-by-step explanation:

Which type of correlation would you expect between a city's monthly temperature averages and precipitation totals? Why?
A)-1; strong negative correlation between the monthly temperature averages and the amount of precipitation.
B)0; relatively no correlation.
C).98; strong positive correlation between the monthly temperature and the amount of precipitation
D)1; strong positive correlation between the monthly temperature averages and the amount of precipitation

Answers

Answer:

B) 0; relatively no correlation.

Step-by-step explanation:

Data tends to not be collinear

The correct statement is,

D)1; strong positive correlation between the monthly temperature averages and the amount of precipitation.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We get;

Based on the general understanding of climate trends, the correct correlation between a city's monthly temperature averages and precipitation totals would be;

strong positive correlation between the monthly temperature averages and the amount of precipitation.

because in warmer months, the air can hold more moisture, leading to more precipitation. In colder months, there is less moisture in the air, leading to less precipitation.

Thus, as the temperature increases, so does the amount of precipitation, resulting in a strong positive correlation.

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rule: y=x+3

HELPpppppp

Answers

Answer:

Step-by-step explanation:

when y=4

x=4-3=1

when y=8

x=8-3=5

when y=5

x=5-3=2

Answer:

[tex]\left[\begin{array}{ccc}x&y\\1&4\\5&8\\2&5\end{array}\right][/tex]

Step-by-step explanation:

x + 3 = y

1 + 3 = 4

5 + 3 = 8

2 + 3 = 5

brainliest?

Solve for d.
4d - 4 = 5d - 8

Answers

Answer:

Step-by-step explanation:

4d-4=5d-8

add 4 to both sides

4d=5d-4

subtract 5d from both sides

-d=-4

switch so d is positive

d=4

Answer: d = 4

Step-by-step explanation:

4d - 4 = 5d - 8

     +8         +8    (Add 8 to both sides)

4d + 4 = 5d

-4d        -4d       (Subtract 4d from both side)

d= 4

Please can some explain how to identify angles that on the same segment? ​

Answers

Step-by-step explanation:

Angles in the same segment. The angles at the circumference subtended by the same arc are equal. More simply, angles in the same segment are equal.

Picture 1  a° = a°  they are the same

Picture 2  p= 52°  q= 40° Angles in the same segment are equal. if they ask you to calculate you just show both angles p= 52 and q=40.

Picture 3 + 4  Let the obtuse angle MOQ = 2x.  

Using the circle theorem, the angle at the centre is twice   the angle at the circumference.

Therefore picture 4 tells us and proves;

Angle MNQ = x and angle MPQ = x.

Picture 5

A cyclic quadrilateral is a quadrilateral drawn inside a circle. Every corner of the quadrilateral must touch the circumference of the circle.

The second shape is not a cyclic quadrilateral. One corner does not touch the circumference.

Picture 6

The opposite angles in a cyclic quadrilateral add up to 180°.

a + c = 180°

b + d = 180°

Picture 7

Example

Calculate the angles a and b.

The opposite angles in a cyclic quadrilateral add up to 180°.

This is a picture that couldn't be added but has a quadrilateral occupying half the triangle consisting of 3 arcs the middle one was 140 and proved part of one triangle. The x (a) missing angle showed below a = 180-60 = 120 °

So hopefully this will help you remember the format here for quadrilateral shapes within a circle.

b = 180 - 140 = 40°

a = 180 - 60 = 120°

New car sales for $25,000 the value of the car decreases by 15% each year what is the approximate value of the car five years after it is purchased

Answers

Answer:

approximately $18,984

Step-by-step explanation:

so 15% multiplied by 5 is 75%

25,000 multiplied by .75 is 18,750

Dan and Luck are running in a 20 mile charity benefit race. If Dan runs at 3 mph and Luke runs at 4 mph, how long until their total mileage equals 20 miles?

Answers

Answer:

one-fifth of $1,000 is $200; a donation of $30 per charity results in a total of $240 in  1. 32 1/2 2. 30 3.  Dan went first and dug 1/9 of the total distance early the next morning.

Step-by-step explanation:

The scale of a map is 1 inch : 10 miles. On the map, Main Street is 0.6 inch long. What is the actual length of Main Street?


A. 6 in.

B. 60 in.

C. 6 mi.

D. 60 mi.

Answers

Answer:

option C. 6 mi.

Step-by-step explanation:

Consider the exponential function f(x) = 2(3)x and its
graph.

Answers

Answer:

initial value = 2

base = 3

this function is exponential growth

Step-by-step explanation:

The formula for exponential functions is [tex]f(x) = ab^{x}[/tex]

a = initial value

b = the constant/change factor/fixed base value

x = independent variable

if the function approaches (∞ , ∞) it is positive

area is 20 square units. the length is 4 more than 3 time the width. find the dimension

Write the formula and answer SHOW ALL WORK!

Answers

starts with 20 smthing x3 +4 =  20 but what is it ???? hmmmm if you think more you can fiqure it out by just finding random numbers so use ur brain i guess???

Answer:

width: 2

length: 10

Step-by-step explanation:

L = 3W + 4

A = LW = (3W + 4) x W

  = 3w² +4w

3w² + 4w = 20

3w² + 4w -20 = 0

(w - 2) (3w + 10) = 0

w = 2 or w = - 10/3     (width is positive)  ∴ width = 2

length = 3 x 2 + 4 = 10

a hatchling turtle has a shell with a 1-inch diameter. the shell keeps a similar shape as the turtle grows. compare the volume and surface area of the hatchling's shell to the shell when it's diameter is 4 inches

Answers

Final answer:

Comparing a hatchling turtle's shell of 1-inch diameter to a 4-inch diameter shell reveals that the volume increases by a factor of about 64, while the surface area only increases by about 16. This difference is due to the way volume and surface area are calculated, with the radius being cubed in the volume formula and squared in the surface area formula.

Explanation:

The volume of a sphere (like the turtle's shell) is given by the formula: V = (4/3) * π * r³, and the surface area by A = 4 * π * r², where r is its radius. If a hatchling turtle's shell has a 1-inch diameter, it has a radius of 0.5-inches. If as the turtle grows, its diameter expands to 4-inches, then the radius will be 2-inches. As the radius in each formula is cubed in the volume formula and squared in the surface area formula, the volume will increase far more rapidly than the surface area.

For the smaller turtle, V = (4/3)*π*(0.5)³ = 0.52 cubic inches and A = 4*π*(0.5)² = 3.14 square inches. For the larger turtle, V = (4/3)*π*(2)³ = 33.51 cubic inches and A = 4*π*(2)² = 50.27 square inches. Comparing, the volume increases by a factor of 64 (33.51/0.52) whereas the surface area increases by a factor of roughly 16 (50.27/3.14). This shows that although the turtle's shell maintains the same shape as it grows, the volume increases significantly more than the surface area.

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Timmy drew a triangle that had a 95 degree angle and no congruent sides

Answers

Answer:

obtuse scalene triangle

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Timmy drew a triangle with no cogruent sides and a 95° angle. Classify the triangle by the lengths of its sides and measures of its angles. Explain

My answer:

As we know that, the sum of 3 internal angles on a triangle is 180° . In the question, Timmy drew a triangle that had a 95 degree it means that sum of the other two angles is:

180° - 95° = 85 °  

Futhurmore,  no congruent sides

So his angle will be obtuse scalene triangle, you can have a look at the attached photo

factor the term 20x^6​

Answers

Step-by-step explanation:

[tex] {20x}^{6} \\ = 2 \times 2 \times 5 \times x \times x \times x \times x \times x \times x[/tex]

hey Emma your answer is here

Solve the following linear system of equations using substitution.

y = 3x - 5
y = 2x - 6


A. (3,2)
B. (-5,-6)
C. (-1,-8)
D. (1,-2)

Answers

Answer:

Step-by-step explanation:

since both equations are equal to the same thing, y, they are therefore equal to each other

so:

[tex]3x-5=2x-6\\x-5=-6\\x=-1\\[/tex]

substitute x, -1,  into either equation to solve for y

[tex]y=3(-1)-5\\y=-3-5\\y=-8[/tex]

or

[tex]y=2(-1)-6\\y=-2-6\\y=-8[/tex]

Therefore, the solution is (-1,-8)

After solving the equations by substitution method the value of x is -1 and the value of y is -8. Hence, option C is correct.

What is an equation?

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given equation from the question,

y = 3x -5   (i)

y = 2x - 6  (ii)

Compare both equations,

3x - 5 = 2x - 6

3x -2x = -6 + 5

x = -1

Substitute x = -1 in equation (i)

y = 3 (-1) - 5

y = -8.

Therefore, both the values are (-1, -8).

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Which of these four sets of side lengths will form a right triangle? Set 1 6 cm, 7 cm, StartRoot 12 EndRoot cm Set 2 8 in., StartRoot 29 EndRoot in., StartRoot 35 EndRoot in. Set 3 StartRoot 3 EndRoot mm, 4 mm, StartRoot 5 EndRoot mm Set 4 9 ft, StartRoot 26 EndRoot ft, 6 ft Set 1 Set 2 Set 3 Set 4

Answers

Answer:

16 cm,7cm, start root 12.

PLEASE PLEASE PLEASE HELP!!!!!!!

Find the values of x and y that make these triangles congruent by the HL Theorem.

Answers

Answer:

x = 5, y = 6

Step-by-step explanation:

When you put these values in for x and y, the corresponding sides are congruent, also making the triangles congruent by the Hypotenuse-Leg Theorem.

I hope this helps! ☺

Which equation could be used to solve for the length of
XY?
OXY = (22)sin(41°)
O XY = (22)cos(419)
OXY = 22.
cos(41°)
O XY = 22
sin( 41°)

Answers

The expressions used to find XY is XY = 22/sin(41)

Trigonometric ratio

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Given triangle XYZ with side XY as the hypotenuse. Hence using trigonometric ratios:

sin(41) = 22 / XY

Making XY the subject of the equation:

XY = 22/sin(41)

The expressions used to find XY is XY = 22/sin(41)

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Answer:

D. XY = 22/ (sin) 41

Step-by-step explanation:

I did it on edge

Four graphs are shown below:


Which graph best shows the line of best fit?

Graph A
Graph B
Graph C
Graph D

Answers

The answer is Graph
A because all the dots line up perfectly
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Kamisha insists that all her children iron their clothes each morning with heavy starch; she requires family members to polish their shoes each evening; she will not allow two white items to appear on dinner plates of her family members. A diagnosis of _____ personality disorder is MOST consistent with Kamisha's behaviors. Plz help me the first one to answer i am gonna give them brainliest answer and i will follow u PLZZZZZZZZZ 2/3 on new phone. his phone cost $900. How much money did he have at first? Qu recursos lxicos tiene un trmino imaginario?pls help me Following World War II, the Soviet Union disagreed with the otherAllied powers on which point?Select one:The Soviet Union wanted to continue to subdue Germany and Japan.The Soviet Union wanted to rebuild Europe's infrastructure.The Soviet Union wanted to protect itself from future invasion.The Soviet Union wanted to create institutions to promote world trade. Alliance Company budgets production of 27,000 units in January and 31,000 units in the February. Each finished unit requires 4 pounds of raw material K that costs $2.50 per pound. Each month's ending raw materials inventory should equal 35% of the following month's budgeted materials. The January 1 inventory for this material is 37,800 pounds. What is the budgeted materials needed in pounds for January 5y(-y^2+7y-2) multiply Which choice best describes the falling action of a story?A.the story's point of highest action or its turning pointB.a dissolving of the tension and suspense that occurs after the story's climaxC.the series of events in a story that builds interest or suspenseD.an early event that signals that the action of a story is about to start How did Gorbachevs Glasnost and Perestroika impact the power and control of the Soviet Union? What was noteworthy about the Watergate hearings?The US Senate did not take part in the hearings.President Nixon admitted his role in the scandal.The hearings were televised for Americans to watch.President Nixon refused to testify before the committee. Define the U.S Supreme Court HELP PLEASEEEEEEEEeeeeee A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 198 like rock, 152 like country, and 113 like jazz. Moreover, 21 like rock and country, 22 like rock and jazz, 16 like country and jazz, and 5 like all three types of music. What is the probability that a radomly selected student likes jazz or country but not rock? The United States' War on Drugs targets the _______________.A. governemntB. supplierC. military D. users The 24 colleges of interest to a high school senior include 8 that are expensive (tuition more than $20,000 per year), 8 that are far from home (more than 200 miles away), and 5 that are both expensive and far from home. A. If the student decides to select a college that is not expensive and within 200 miles of home, how many selections are possible? B. If the student decides to attend a college that is not expensive and within 200 miles from home during his first two years of college, and then will transfer to a college that is not expensive but is far from home, how many selections of two colleges are possible? A sample of hydrogen gas is placed in a 0.500 L container at 295K. The gas pressure is 1.442 bar. How many moles of H2 gas are in the container. What is the British governments point of view toward the Palestinian Arabs in this declaration? It supports the creation of an Arab homeland in Palestine. It states that any Jewish state will be expected to uphold Palestinian rights and liberties. It favors the right of return of Palestinian Arabs. It opposes increased immigration of Palestinian Arabs to Great Britain. PLEASE HELP! Alayna knows that the North Star, Polaris, is a pole star appearing stationary in the sky as Earth spins. She also knows that there is not a South Star. This piques her curiosity. She wants to figure out which star is closest to being the South Star.By studying the night sky, she has determined that if the South Star existed it would be at the coordinates (-2,2) on her star chart (shown below).Which star is closest to where the South Star would be, as shown on Alayna's star chart?STAR ASTAR BSTAR CThe distance from that star to where the South Star would be is ____ unitsRound the final answer to the nearest tenth of a unit. Do not round intermediate calculations. I have a algebraic problem7277+x=10245 What is the inverse of y=6^x?