The area of a cross section through the center of a sphere is 46 square inches. Find the surface area of the sphere.

Answers

Answer 1

Answer:

184 in.^2

Step-by-step explanation:

The cross section through the center of a sphere is a circle whose radius is equal to the radius of the sphere.

area of circle

[tex]A_{circle} = \pi r^2[/tex]

[tex] \pi r^2 = 46 [/tex]

[tex] r^2 = \dfrac{46}{\pi} [/tex]

[tex] r = \sqrt{\dfrac{46}{\pi}} [/tex]

[tex] r = 3.83 ~in.[/tex]

surface area of sphere

[tex] SA = 4 \pi r^2 [/tex]

[tex] SA = 4 \times \pi \times (3.83)^2 [/tex]

[tex] SA = 184~in.^2 [/tex]


Related Questions

PLEASE ANSWER ASAP CORRECTLY FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

40,009.88

Step-by-step explanation:

The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle.

were given the radius, r=6371

diameter = r x 2

6371 x 2 = 12742

12742 = diameter

12,742 x 3.14 = 40,009.88

Answer:

40,030.173592041 km

Step-by-step explanation:

circumference of a circle = 2πr

=2 × π × r

=2 × π × (6371)

=40,030.173592041

HELP please!!!!!!!!!!!

Answers

All real numbers are greater than or equal to 0.

do (12 + 6) ÷ 2 and 12 + 6 ÷ 2 have the same answer? explain why. yall don't know the answer

Answers

Answer:

No

Step-by-step explanation:

Because the first problem has parenthesis that means you do what's in the parenthesis first but the second problem is just laid out so use PEMDAS.

So The 1st answer would be 9 and the 2nd 15.

Answer:

They do not have the same answer

Step-by-step explanation:

You have to use

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

(12+6)  ÷ 2                  12 + 6  ÷ 2

  18  ÷ 2                       12 +  3

   9                                 15

Hope that helps

You want to put $4,000 in a simple interest account. It has a 2.5% annual interest rate. How long will it take you to earn $500 in interest?
2 years
5 years
50 years
3.125

Answers

5 years to earn $500

During his career, Shaquille O'Neal attempted 22 three pointers. He made one of them. What is Shaq's 3-point percentage to the nearest tenth of a percent?

Answers

4.5% because 1/22 is 0.045 then move the decimal point 2 times for the percentage

Sam and Pam's pennies add up to 22. Same has 1 more penny than twice Pam's pennies. How many pennies do Sam and Pam have?

Answers

Answer:

pam has x = 7 pennies

sam has 2x + 1 = 14 + 1 = 15 pennies

Step-by-step explanation:

let's take the number of pennies that pam owns be x

sam's pennies = 2× ( pam's pennies ) + 1

=》2x + 1

if the total pennies owned by both = 22

then,

x + 2x +1 = 22

3x = 22 - 1

x = 21 ÷ 3

x = 7

so, pam has x = 7 pennies

sam has 2x + 1 = 14 + 1 = 15 pennies

Lawrence has $50.

He wants to buy some T-shirts that cost $12 each.
He also wants to have at least $10 left to buy lunch.
Which inequality shows the number of T-shirts, x, Lawrence can buy and still have at least $10 for lunch?
A.
x ≤ 3

B.
x ≥ 3

C.
x ≤ 4

D.
x ≥ 4

Answers

A is the correct answer!50 - 10 = 4040 ÷ 12 = 3 R4 (I hate using remainder but I have to for this problem)He can not buy more than 3 shirts.So, he can buy less than 3 or equal to 3.Please let me know if I am wrong.

Select the rule for the sequence The rule for the sequence is? Find the unknown term. The unknown term is​

Answers

U would subtract to find the unknown term

Maggie has half as many apple muffins as she does blueberry muffins. Let b represent the number of blueberry muffins Maggie has.
Create an expression to represent the number of apple muffins Maggie has. Move a number, a variable, and a symbol to the lines to create
the expression.

Answers

Answer: b/2

Step-by-step explanation:

From the question, we are informed that Maggie has half as many apple muffins as she does blueberry muffins where,

b = the number of blueberry muffins that Maggie has.

Therefore, an expression to represent the number of apple muffins Mmthat Maggie has will be:

= 1/2 × b.

= b/2

which set of number are right for this inequality x<14 plz help me i need help due in 20 min
A. 3,7,9,10,12
B. 15, 18 ,20, 21, 23
C. 17, 21, 24, 25, 31
D. 23, 27, 29, 30, 36

Answers

Answer:

it's A because all of those numbers are less than 14

Step-by-step explanation:

222222+999999what is this answer?​

Answers

Answer:

888888

Step-by-step explanation:

Is the right answer

Answer:

1222221

Step-by-step explanation:

222222+999999

Start from the ones place, 2+9=11 (11)

Borrow 1, 2+9=11+1=12 (21)

Again, 2+9=11+1=12 (221)

Again, 2+9=11+1=12 (2221)

Again, 2+9=11+1=12 (22221)

And again, 2+9=11+1=12 (1222221)

Hope I helped! Good Luck!

Let y = 5e5z
A. Find the differential dy
25e53
dy
B. Use part A. to find dy when x = - 3 and dir = 0.4.
Round your answer to 2 decimal(s).
dy =
Submit Question

Answers

Answer:

[tex]\displaystyle dy = 25e^{5x}dx\\dy = 3.27 \cdot 10^7[/tex]

General Formulas and Concepts:

Math

RoundingEuler's Number e - 2.71828

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Calculus

Derivatives

Derivative Notation

Differentials

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

eˣ Derivative: [tex]\displaystyle \frac{dy}{dx}[e^u] = u'e^u[/tex]

Step-by-step explanation:

Part A

Step 1: Define

[tex]\displaystyle y = 5e^{5x}[/tex]

Step 2: Differentiate

[Function] eˣ Derivative:                                                                                 [tex]\displaystyle \frac{dy}{dx} = \frac{dy}{dx}[5x] \cdot 5e^{5x}[/tex][Derivative] Basic Power Rule:                                                                      [tex]\displaystyle \frac{dy}{dx} = 5x^{1 - 1} \cdot 5e^{5x}[/tex][Derivative] Simplify:                                                                                       [tex]\displaystyle \frac{dy}{dx} = 5 \cdot 5e^{5x}[/tex][Derivative] Multiply:                                                                                       [tex]\displaystyle \frac{dy}{dx} = 25e^{5x}[/tex][Derivative] [Multiplication Property of Equality] Isolate dy:                        [tex]\displaystyle dy = 25e^{5x}dx[/tex]

Part B

Step 1: Define

[Differential] [tex]\displaystyle dy = 25e^{5x}dx[/tex]

[Given] x = 3, dx = 0.4

Step 2: Evaluate

Substitute in variables [Differential]:                                                             [tex]\displaystyle dy = 25e^{5(3)}(0.4)[/tex][Differential] [Exponents] Multiply:                                                                [tex]\displaystyle dy = 25e^{15}(0.4)[/tex][Differential] Evaluate exponents:                                                                 [tex]\displaystyle dy = 25(3.26902 \cdot 10^6)(0.4)[/tex][Differential] Multiply:                                                                                     [tex]\displaystyle dy = (8.17254 \cdot 10^7)(0.4)[/tex][Differential] Multiply:                                                                                     [tex]\displaystyle dy = 3.26902 \cdot 10^7[/tex][Differential] Round:                                                                                       [tex]\displaystyle dy = 3.27 \cdot 10^7[/tex]

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Differentials

Book: College Calculus 10e

if angle COD equals 134 degrees, what is the size of reflex angle COD?
A: 46 degrees
B: 226 degrees
C: 314 degrees
D: 494 degrees ​

Answers

Answer:

A.

Step-by-step explanation:

To get to 180. You need to subtract 134 from 180:

180

134-

Which would give you 46.

I hope this is right.

ANSWER:the size of reflex angle is

C:314 degrees

Describe how to modify a Tiling diagram

Answers

Do you mean triangle diagram ? Or like title floor

the temperature fell 16 degrees fahrenheit from 50 to 34 degrees in 10 hours. How much would the temperature fall over 15 hours if the pattern continued?

Answers

Answer:

[tex]x = 24\ degrees[/tex]

Step-by-step explanation:

Given

16 degrees = 10 hours

Required

Determine the change over 16 hours

Let the change be represented with x,

So, we have:

16 degrees = 10 hours

x = 15 hours

Cross Multiply:

[tex]x * 10\ hours = 16\ degrees * 15\ hours[/tex]

[tex]x * 10 = 16\ degrees * 15[/tex]

Divide through by 10

[tex]x = \frac{16\ degrees * 15}{10}[/tex]

[tex]x = 16\ degrees * 1.5[/tex]

[tex]x = 24\ degrees[/tex]

A bag contains 10 coloured balls. 5 of them are red and 3 of them are blue. A ball is taken from the bag at random, then replaced. A second ball is then selected at random. Find the probability that the first ball is red and the second ball is blue.

Answers

The probability that the first ball drawn is red and the second ball drawn is blue is 3/20.

The probability that the first ball drawn is red and the second ball drawn is blue, we need to multiply the probability of drawing a red ball on the first draw by the probability of drawing a blue ball on the second draw.

Given that there are 10 balls in total, with 5 red balls and 3 blue balls, the probability of drawing a red ball on the first draw is 5/10 = 1/2.

Since the ball is replaced after the first draw, the total number of balls remains the same for the second draw.

The probability of drawing a blue ball on the second draw is also 3/10.

To find the probability of both events occurring (the first ball being red and the second ball being blue), we multiply the probabilities:

Probability = (Probability of drawing a red ball) × (Probability of drawing a blue ball)

= (1/2) × (3/10)

= 3/20

For similar questions on probability

https://brainly.com/question/25839839

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State the domain and range of both the function and the inverse function. f(x) = 8 x + 8 f -1(x) = Domain of f(x): Range of f(x): Domain of f -1(x): Range of f -1(x)

Answers

Answer:

[tex]f^{-1}(x) = \frac{x+8}{8}[/tex]

Domain of f(x): All real values.

Range of f(x): All real values.

Domain of f -1(x): All real values.

Range of f -1(x): All real values

Step-by-step explanation:

We are given the following function:

[tex]f(x) = 8x + 8[/tex]

Since it is a line, we have that both the domain is the range is the real set.

Inverse function:

The domain of the inverse function is the range of the original function, and the range of the inverse function is the domain of the original function.

Finding the inverse function:

Exchange x and y in the original function, and isolate y. So

Original

[tex]y = 8x + 8[/tex]

Exchanging:

[tex]x = 8y - 8[/tex]

Isolating y:

[tex]8y = x + 8[/tex]

[tex]y = \frac{x+8}{8}[/tex]

[tex]f^{-1}(x) = \frac{x+8}{8}[/tex]

How do I Simplify 2/8

Answers

Answer:

1/4

Step-by-step explanation:

Divide 8 by 2

2/8 = 1/4

good luck, i hope this helps :)


The simplest form of 2/8 is 1/4

Jayvion took out a simple interest loan to pay for some new furniture. If the loan was for 5 years at 12% and he paid $960 interest, how much money did he borrow?

Answers

Answer:

$544.73

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + r)^t[/tex]

A is final amountP is principle amountr is ratet is time

Step-by-step explanation:

Step 1: Define

A = 960

r = 0.12

t = 5

Step 2: Solve for P

Substitute in variables [Simple Interest Rate Formula]:                                [tex]\displaystyle 960 = P(1 + 0.12)^5[/tex][Interest] (Parenthesis) Add:                                                                            [tex]\displaystyle 960 = P(1.12)^5[/tex][Interest] Evaluate exponents:                                                                        [tex]\displaystyle 960 = P(1.76234)[/tex][Interest] [Division Property of Equality] Isolate P:                                        [tex]\displaystyle 544.73 = P[/tex][Interest] Rewrite:                                                                                            [tex]\displaystyle P = 544.73[/tex]

find the slope of the line

Answers

Answer:

-1

Step-by-step explanation:

it goes down 1 per gain of 1 on the x axis

Answer:

-1

rise over run -2/2

slope is -1

Step-by-step explanation:

can I have the answer and a quick explanation plz?​

Answers

Given:

A figure of a right triangle.

To find:

The value of x.

Solution:

According to the geometric mean attitude theorem, if an altitude is drawn from the right angle vertex to the hypotenuse, then the altitude is the geometric mean of segments of hypotenuse.

Using geometric mean attitude theorem, we get

[tex]\dfrac{3}{x}=\dfrac{x}{5}[/tex]

[tex]3\times 5=x\times x[/tex]

[tex]15=x^2[/tex]

[tex]\pm \sqrt{15}=x[/tex]

But side cannot be negative. So,

[tex]\sqrt{15}=x[/tex]

Therefore, the value of x is [tex]\sqrt{15}[/tex].

PLEASE HELP!

A rectangular field is 62 meters long and 48 meters wide. Diane estimates the length of the field

to be 60 meters and the width to be 45 meters. What is the percent error of Diane's estimated

area measurement? Round your answer to the nearest whole percent.

Enter your answer in the space provided.

Answers

Answer:

9%

Step-by-step explanation:

Original area of the rectangle = length × width

= 62 × 48

= 2,976 m²

Diane area of the rectangle = length × width

= 60 × 45

= 2700 m²

Percent error = (original - estimated)/original × 100

= (2976 - 2700)/2976 × 100

= 276/2,976 × 100

= 0.0927419354838 × 100

= 9.2741935483870%

Approximately to the nearest whole percent = 9%

A triangle has sides with lengths of 12 miles, 84 miles, and 85 miles. Is it a right triangle?

Answers

Ggggggghhhhggffggtfgugggh

Answer:

[tex]\boxed {\boxed {\sf No}}[/tex]

Step-by-step explanation:

If a triangle is a right triangle, it can satisfy Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

12 and 84 are the legs because are they shortest. 85 is the hypotenuse because it is the longest side.

[tex]a= 12 \\b=84 \\c=85[/tex]

Substitute the values into the formula.

[tex](12)^2+(84)^2=(85)^2[/tex]

Solve the exponents.

12²= 12*12=14484²=84*84=7056 85²= 85*85=7225

[tex]144+7056=7225[/tex]

Add on the right side.

[tex]7200\neq 7225[/tex]

7220 is not equal to 7225, so these sides cannot be a right triangle.

hi I need help with my math​

Answers

Step-by-step explanation:

heyy, what math do u need help with I can probably help

Answer:

bestie whats the question

A stainless steel patio heater is a square pyramid. The length of one side of the base is 23.6. in. The slant height of the pyramid is 90.9. in. What is the height of the​ pyramid?

Answers

Answer:

Step-by-step explanation:

The height of the heater is about 89.3 in.

You can solve this problem with the Pythagorean Theorem. The base is a square. So half way across the middle will the right under the tip of the pyramid. We can use the measurement with the slant height to write and solve the equation below.

23.8^2 + x^2 = 90.1^2

x will be about 89.3.

Mark brainliest please if the answer is correct

Write down a multiple of 8 that is between 20 and 50.

Answers

Answer:

24, 32, 40, or 48

Step-by-step explanation:

Count by 8.

8

16

24

32

40

48

56

The multiple of 8 that is between 20 and 50 are 24, 32, 40 and 48.

A multiple in math are the numbers you get when you multiply a certain number by an integer.

Here, multiples of 8 with 50 are

8, 16, 24, 32, 40, 48

So, the multiple of 8 between 20 and 50 are 24, 32, 40 and 48

Therefore, the multiple of 8 that is between 20 and 50 are 24, 32, 40 and 48.

Learn more about multiples of a number here:

https://brainly.com/question/10520264.

#SPJ2

A total of 1,650 boxes of Girl Scout cookies were sold last week. Each large box cost $3.50 and each small box cost $2.00. The Girl Scout group

earned $4,650. How many large boxes and how many small boxes of cookies were sold?

Answers

Answer:

900 large boxes were sold, and 750 small boxes.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of large boxes of cookies sold.

y is the number of small boxes of cookies sold.

A total of 1,650 boxes of Girl Scout cookies were sold last week.

This means that

[tex]x + y = 1650[/tex]

So

[tex]x = 1650 - y[/tex]

Each large box cost $3.50 and each small box cost $2.00. The Girl Scout group earned $4,650.

This means that

[tex]3.5x + 2y = 4650[/tex]

Since [tex]x = 1650 - y[/tex]

[tex]3.5(1650 - y) + 2y = 4650[/tex]

[tex]5775 - 3.5y + 2y = 4650[/tex]

[tex]1.5y = 1125[/tex]

[tex]y = \frac{1125}{1.5}[/tex]

[tex]y = 750[/tex]

[tex]x = 1650 - y = 1650 - 750 = 900[/tex]

900 large boxes were sold, and 750 small boxes.

5·(y-3)=3/5 (x-8)·5 write the equation

Answers

Answer:

This is the answer

Step-by-step explanation:

You needed to multiple 5 to both sides

What are the sine and cosine of 4pi/3?

Answers

Answer:

-0.479

Step-by-step explanation:

[tex]sin(cos(4 \frac{\pi}{3} ) = - sin( \frac{1}{2} ) = - 0.479[/tex]

Answer:

Answer is B : -1/2

Step-by-step explanation:

correct on edge

The amount a tree grows in one month is directly proportional to the amount of water it is given. When a tree is giving 21 gallons of water it grows 8 cm that month. What is the constant of proportionality for this variation? record your answer to the nearest thousand.

Answers

Answer:

k = 0.381cm/gallon

Step-by-step explanation:

Let the amount a tree grows in one month be x

Let amount of water it is given be y

If the amount a tree grows in one month is directly proportional to the amount of water it is given, then;

x ∝ y

x = ky

k is the constant of proportionality

k = x/y

Given

x = 8cm

y = 21 gallons

k = 8/21

k = 0.381cm/gallon

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