Emily wants to know the volume of a beach ball. She deduces that the beach ball has diameter of 12 inches, and then uses the following formula to find the volume: (3.14) (12) V = (3.14) (1728) (5425.92) V=7234.56 cubic inches Emily's answer is incorrect. What did she do wrong? She used the formula for a cylinder instead of the formula for a sphere She used the formula for a sphere instead of the formula for a cone. Multiplying (314)(1728) does not equal 5425.92. She used the beach ball's diameter when she should have used the radius​

Emily Wants To Know The Volume Of A Beach Ball. She Deduces That The Beach Ball Has Diameter Of 12 Inches,

Answers

Answer 1

Answer:

D. She used the beach's ball's diameter when she should have used the radius

Step-by-step explanation:

To find the volume of the beach ball, using the volume of a sphere is the right formula to use, which is ⁴/3πr³.

The formula she used is correct.

Since the diameter of the ball is assumed to be 12 inches, what is needed to find the volume is the radius.

Radius (r) = ½(diameter) = ½(12) = 6 in.

This is where Emily made a mistake.

She used the diameter of the beach ball instead of its radius (r) which is needed in the equation.

She should have gotten,

V = ⁴/3(3.14)(6)² = 904.32 cubic inches


Related Questions

plsss anybody help no links more files they are viruses

Answers

Answer:

1- B & C (Same answer and also I'm not that sure)

2- B: y = 8x (I'm sure of this ^^)

3- Option 3

4- 108 degrees

Answer:

1. C

2. B

3. Option 3

4. 108 degrees

Step-by-step explanation:

1. There cannot be less than 0 people or more then 25 people, but the theatre capacity can be equal to both of these numbers.

2. x is multiplied by 8 to create y, so the equation is y=8x

3. There can't be over 8 refrigerators on the truck, and you can't have a fraction of a refrigerator.

4. One line is 180 degrees. 36+36=72, 180-72= 108 degrees

i have a geometry question.

Answers

Answer:

Step-by-step explanation:

You already have the area for your triangle. Substract that from the entire area of the rectangle.

To get the area of the rectangle, multiply the length by the height.

15*20 = 300

Now substract your triangle from that :)

what 10+10+10+10+10+10+9=

Answers

10+10+10+10+10+10+9=69

Answer:

its simple girl;;;;;

ans=69

(Ohh dear don't leave the question with this big pts!!! )

For which of the funds shown would you pay the most commission on the purchase of 100 shares?
a. Green Energy
b. TJH Small-Cap
c. Upton Group
d. WHI Health​

Answers

Answer:

its A just got it right

Step-by-step explanation:

20 points pls answer

Answers

The answer to the first one is 0.879 and the second is 50%

What is the equation of the trend line in the scatter plot?

Use the two yellow points to write the equation in slope-intercept form. Write any coefficients
as integers, proper fractions, or improper fractions in simplest form.

Answers

Answer:

y = 5/8x + 9

Hope this helps!

Use the distributive property to write an equivalent expression.
10(2x + 8y - 6)

Answers

Answer:

20x +80y -60 hope this helped:)

Step-by-step explanation:

Find the missing angle.
Round to the nearest tenth.
B = 50°
b = 8
a = 10
A = [?]"

Answers

Answer:

73.2

Step-by-step explanation:

acellus

Answer:

The answer is 73.2 for Acellus people

Step-by-step explanation:

A volume of the cone is (1/3) the volume of a cylinder. The volume of the sphere is what fraction of the volume of the cylinder?

Answers

Answer:

4/3

Step-by-step explanation:

To know this, let's write down the formulas for the volume of cylinder and sphere.

Vs = 4/3πr³   (1)

Vc = π r² h    (2)

Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:

Vs / Vc = 4πr³ / 3πr²h

Vs/Vc = 4πr³ / 3πr³

From here, we can cancel out the values of π and r³:

Vs/Vc = 4/3

Vs = 4/3 Vc

Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.

Hope this helps

Solve for x. Express your answer as an integer or integers or in simple radical form .

Answers

Answer:

Below in bold.

Step-by-step explanation:

- 5 - x^2 = -10

-x^2 = -10 + 5

-x^2 = -5

Divide through by -1:

x^2 = 5

x = -√5, √5.

A bag contains n counters. one counter is blue and the rest are red. Two counters are taken at random from the bag. a) express, in terms of n, the probability that a counter of each colour is taken. Give your answer as a fraction. b) the probability that a counter of each colour is taken is 0.125. How many red counters are in the bag?

Answers

Answer:

A] Probability = 1/n ; B] Number = 8

Step-by-step explanation:

Total counters = n , Blue counter = 1 , Red counters (remaining) = n -1

A] Prob (One blue, & One red counter) = (Blue counter / Total counters) x (Red counters / Total remaining counters) = [1 / n] x [ (n -1) / (n-1)] = 1 / n

Alternative, Prob  (One red, & one blue) = (Red counter / Total counters) x (Blue counters / remaining counters) = [ (n-1) / n ] x [1 / (n-1) ]  = 1 / n

B] Prob (each color , a blue & red counter taken) = 0.125  {Given}

By A], this Prob = 1/n.

So, 0.125 = 1/n → n = 1 / 0.125 = 8

THIS IS URGENT PLZ HELP!!!

Find three consecutive EVEN numbers such that: The sum of one sixth of the first number, two sevenths of the second number and one half of the third number equals 54

Answers

Answer:

12

Step-by-step explanation:

2

4

6

8

10

12

14

16

18

20

22

24

26

Solve the equation:
2 + y/3 =8

Answers

Answer: y = 18.
First subtract 2 on both sides.
y/3 = 6
Then multiply 3 on both sides.
y = 18
Hope this helps!

PLSSS HELP MEEE I WILL GIVE BRAINLIEST

Answers

Answer: A

Step-by-step explanation:

2
Type the correct answer in the box.
212 units
2 units
2 units
8 units
2 units
2 units
2 units
6 units
The area of the figure is
square units.
Reset
Next

Answers

Answer:

212×2×2×8×2×2×2×6= 325636

I hope the answer is correct. I hope I will get 5points

Answer:

2 units i hope this helps you

Help meeeeeeee!!!!!!!

Answers

c sorry if i’m wrong btw

Answer:

the answer is c

Step-by-step explanation:

If u add the values of the dots on set A it would be greater than set B.

EASY SYSTEM OF EQUATION

Answers

Answer:

3,7

Step-by-step explanation:

See steps below:)

The answer is (3,7).

Find the missing side of the triangle.
PLEASE NO LINKS- I WILL REPORT YOU.
Need help-
Thank you!!!

Answers

Answer:

11.7 cm

Step-by-step explanation:

Pythagoream Theorem:

[tex] {11}^{2} + {4}^{2} = {x}^{2} \\ 121 + 16 = {x}^{2} \\ 137 = {x}^{2} \\ \sqrt{137} = x \\ 11.7 = x[/tex]

Hope this helps!!

Find the area of the shaded region

Answers

Answer:

40

Step-by-step explanation:

area of shaded region = area of whole figure - area of non shaded region

area of whole figure: The whole figure is a rectangle

The area of a rectangle can simply be calculated by multiplying the width by the length

The given width is 10ft and the given length is 8ft

Hence area of whole figure = 10 * 8 = 80ft²

Area of non shaded region: the non shaded region also creates a rectangle

Like stated previously the area of a rectangle can simply be calculated by multiplying the width by the length

The given width is 5ft and the given length is 8ft

Hence, area of non shaded region = 5 * 8 = 40ft²

Finally we can find the area of the shaded region.

We can easily do this my subtracting the area of the nonshaded region from the area of the whole figure

If we have identified that the area of the whole figure is 80 and the area of the non shaded region is 40

Then, area of shaded region = 80 - 40 = 40ft²

3x-8y=24
y=x-8
Please show
work

Answers

Answer:

3x - 8y = 24   --------(1)

y = x - 8  ---------(2)

substitute  y in (1)

3x - 8( x - 8) = 24

3x - 8x + 64 = 24

-5x = 24 - 64

-5x = -40

5x = 40

x= 8

substitute x in (2)

y = 2 - 8

y = - 6

Answer:

x = 8, and y = 0

Step-by-step explanation:

We can solve this by taking y as (x-8), as it states there.

Since y is equal to x-8, we can rearrange the system of equations into one single equation.

We can multiply y by 8, as it shows in the first equation, which is something like 8x-64.

Since it is a negative 8 being multiplied by y, it would be the inverse of 8x-64, which is -8x+64.

We can now organize our equation here.

3x - 8x + 64 = 24.

We can use subtraction property of equality by subtracing 64 from both sides to get rid of it.

We will get something like:

3x - 8x + 64 - 64 = 24 - 64.

Simplify by solving like terms like the x value and the integers.

-5x = -40

Divide both sides with division property of equality:

-5/5x = -40/5

x = 8

We can then plug the 8 back into x, lets use the second equation because I'm lazy and it looks the easiest to solve for.

y = (8) - 8

y = 0

Therefore, x = 8, and y = 0.

Which expressions are equivalent to the one below? Check all that apply log2-log4

Answers

Answer:

-log(2)

Step-by-step explanation:

Hungry Harry is a giant ogre with an appetite that fluctuates throughout the day. H(t) models the weight of sheep (in kg) that Harry would like to swallow t hours after he wakes up. Here, t is entered in radians. H(t)=12sin(2pi/24t) + 15 What is the second time after Harry wakes up that he feels like consuming 17kg of sheep?

Answers

The second time after Harry wakes up that he feels like consuming 17kg of sheep is 11.36 hours

How to determine the time?

The function is given as:

H(t) = 12sin(2π/24t) + 15

When the weight is 17kg.

It means that:

H(t) = 17

So, we have:

H(t) = 12sin(2π/24t) + 15 and H(t) = 17

Next, we solve for t using a graphing calculator

From the graph of h(t), we have:

t = 0.64, 11.36, 24.64...... when h(t) = 17

The second time in the above list is

t = 11.36

Hence, the second time after Harry wakes up that he feels like consuming 17kg of sheep is 11.36 hours

Read more about sine function at:

https://brainly.com/question/9565966

#SPJ1

Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution. Find the percent concentration of the first solution. (a) 70% (b) 61% (c) 69% (d) 67%

Answers

Answer:

67%

Step-by-step explanation:

Let the percentage of the first solution = x

7 gallons + 4 gallons = 11 gallons

Our system of equation is

Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution.

7 gallons × x % + 4 gallons × 80% = 72% × 11 gallons

= 7x + 3.2 = 7.92

Collect like terms

7x = 7.92 - 3.2

7x = 4.72

x = 4.72/7

x = 0.6742857143

Converting to percentage

0.6742857143 × 100

= 67.42857143%

Approximately, the percent concentration of the first solution is 67%

Stephen was thinking of a number. Stephen adds 2, then divides by 7 to get an answer of 11. What was the original number?

Answers

Answer:

75

Step-by-step explanation:

Let x = number thought of

(x + 2) / 7 = 11

multiply both sides of the equation by 7

11 x 7 = x+ 2

collect like terms

77 - 2 = x

x = 75

I want to d!e ahahahahahaha

Answers

Answer:

dont say that-

Step-by-step explanation:

Hola, ¿cómo está tu día?

Answers

Answer:

Muy bien, y usted?

Answer:

es una pregunta o necesitas eso traducido al inglés ¿?

30 in.
10 in.
10 in.
30 in
20 in
Find the area of the arrow above.
square inches

Answers

Answer:

1100 Inches Squared

Step-by-step explanation:

Let the triangle on the top right be - (i)

Let the triangle on the top left be - (ii)

Let the bottom rectangle be - (iii)

1) The base of the triangle (i) = 10 + (20/2) (It is the base of the rectangle halfed + the given amount of half base of the triangle)

=> 10 + 10

=> 20 in

Base = 20 in

Height = 30 in

Area = 1/2 * 20 * 30

=> 10 * 30

=> 300 in

Triangle (i) = (ii)

So, the area of triangle (ii)

=> 300 in

Area of rectangle,

Length * Breadth

=> 20 * 30

=> 500 in

Total arrow's area = 300 + 300 + 500 (i + ii + iii)

=> 1100

Therefore the total area of the shape = 1100 in squared.

Hope it helps :)

In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term

Answers

Answer:

Common difference is 3. And the first term is 64.

Step-by-step explanation:

The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between.  And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64

A warehouse has a height of 8 2/10 ​ meters, length of 120 meters, and width of 20 3/10 ​ meters. What is the volume of the warehouse?
pls answer fast, best question gets brainliest

Answers

Answer:

59×695÷500×56677×6626

The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

x = 8

Step-by-step explanation:

If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees

As we can see, we have two sets of similar right triangles

The value x faces the right angle and that makes it the hypotenuse

Also, the side measure 4 is the adjacent side to the angle 60

The trigonometric identity that relates the hypotenuse and the adjacent is the cosine

it is the ratio of the adjacent to the hypotenuse

Mathematically;

cos 60 = 4/x

x = 4/cos 60

x = 8

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