Two small bubbles that each have a radius of 3
centimeters collide and merge into one large bubble. The area of
the large bubble is equal to the sum of the areas of the two small
bubbles. To the nearest centimeter, what is the radius of the large
bubble?
Use 3.14 for Pi

Answers

Answer 1

find area of 1 small bub

πr² = 3.14 × 3²

= 28.26 cm

area of 2 small bub

28.26 × 2 = 56.52 cm

area of big bub = area of 2 small bub

= 56.52

find radius by using formula

πr² = 56.52

r² = 56.52 ÷ 3.14

r² = 18

r = √18

r = 4.24 cm

round off to nearest cm

4.24 ≈ 4 cm


Related Questions

CAN SOMEONE PLEASE HELP ME WITH THIS??

Answers

Answer:

12

Step-by-step explanation:

6x12=72

3x12=36

36+36=72

Answer: 23.

Step-by-step explanation:

Which statement about the numbers 22.407 and 22.416 is true? 22.407 = 22.416 because the values of the 4 in the tenths places are equal. 22.407 > 22.416 because the value of the 7 in the thousandths place is greater than the value of the 6. 22.407 = 22.416 because the values of the 2 in the ones places are equal. 22.407 < 22.416 because the value of the O in the hundredths place is less than the value of the 1.​

Answers

Answer:

22.407 < 22.416 because the value of the 0 in the hundredths place is less than the value of the 1.

SHOW ANSWER

Step-by-step explanation:

Answer:

The last answer choice

Step-by-step explanation:

22.407 < 22.416

Joe's age exceeds by Vika's age by 16 years. Four years ago, Joe was twice as old as Vika. Find the present age for each.

Answers

Answer:

Joe's present age = 36 years

Vika's present age = 20 years

Step-by-step explanation:

Let us represent the present age of

Joe = x

Vika = y

Joe's age exceeds by Vika's age by 16 years.

x = y + 16...... Equation 1

Four years ago, Joe was twice as old as Vika.

x - 4 = 2(y - 4)

x - 4 = 2y - 8........ Equation 2

We substitute y + 16 for x

y + 16 - 4 = 2y - 8

Collect like terms

16 - 4 + 8 = 2y - y

y = 20 years

We solve for x

x = y + 16...... Equation 1

x = 20 + 16

x = 36 years

Therefore, Joe's present age = 36 years

Vika's present age = 20 years

convert -350 degrees in radians

Answers

Answer:

-(350 degrees) =-(350 degrees) =-6.10865238 radians

Answer:

-35π/18 radians

Step-by-step explanation:

FILL THIS OUTTTTT PLZZZZ

Answers

Answer:

3.5

Step-by-step explanation:

3.5 + 3.5 = 7

Nicholas Has a very large soup pot shaped like a cylinder that has a height of 20 inches and a radius of 6 inches. How much soup can Nicholas’s soup pot hold ?

Answers

Answer:

2262 in³

Step-by-step explanation:

Given that:

Height, h = 20 inches

Radius, r = 6 inches

Volume of a cylinder is given as :

V = πr²h

V = π * 6² * 20

V = π * 36 * 20

V = 2261.9467 in³

Hence, Nicholas pot can hold about 2262 in³ of soup

help all questions are in the picture ​

Answers

Answer:

5. 2=1+1

6. 0= -3*0

7.2=3*0+2

How many tenths are equivalent to 2/5

Answers

4/10. Just have to look up what fractions are equivalent to 2/5 and look at the number that has 10 as a ‘denominator’

Henry is making a recipe for biscuits.A recipe calls for 5/10 kilogram flour and 9/10 kilogram sugar.If henry measures correctly and combines the two amounts,how much flour and sugar will he have. Show your work

Answers

Answer: [tex]\dfrac{14}{10}\ kg[/tex]

Step-by-step explanation:

Given

Henry has [tex]\frac{5}{10}\ kg[/tex] of flour and [tex]\frac{9}{10}\ kg[/tex] of sugar

If henry added the two amounts, the net weight of the two is

[tex]\Rightarrow W_{net}=\dfrac{5}{10}+\dfrac{9}{10}\\\\\Rightarrow W_{net}=\dfrac{5+9}{10}=\dfrac{14}{10}\ kg\ \text{or}\ \dfrac{7}{5}\ kg[/tex]

What equation could you solve to find the value of x in this diagram?

Answers

Answer:

75+3x=180

Step-by-step explanation:

Answer:

75 + 3x = 180

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180°.

45 + 30 + 3x = 180

75 + 3x = 180

please help me solve all of these if right ill give you brainly

6x + 10 = 1x

2a 5 = 3a

7a 5 = 2a

4a + 7 = 10 + a
8x + 3 = 2x
6x 3 = 18 + x

Answers

Answer:

1. =−2

2.

3.

4. a=1

5. x=-1/2

6. x=4.2

Step-by-step explanation:

Alice is standing on the roof of a 150 ft building. She looks down at an angle of depression of 15 degree and sees her friend bianca. How far away from the building is bianca

Answers

Answer:

559.70 ft

Step-by-step explanation:

Let D be the distance between building and Bianca.

Height of building H = 150 ft

Let there be a triangle ABC where, AC = height of building H= 150ft, AB = distance between Alice and Bianca and BC = D and therefore, ∠ABC = 15°.

Now in Triangle ABC , tanB = AC/BC

therefore, tan15° = 150/D

D = 150/tan15° = 559.70 ft

Therefore, the distance between building and Bianca D = 559.70 ft

HELP ASAP I GIVE BRAINLISTE

Answers

Answer:A

Step-by-step explanation:

Dotted line means less than so it has to be A

Answer:

Step-by-step explanation:

The following table shows a proportional relationship between X and Y
X Y
2 9
5 22.5
8 36
Write an equation to describe the relationship between X and Y

Answers

22.5-9= 13.5
36-22.5=13.5

therefore the relation would show a Linear graph because the first differences are the same.

Find (y+3)(y^2+8y-2)

Answers

Answer:

the answer is y^3+11y^2+22y-6

Answer:

y³ + 11y² + 22y - 6

Step-by-step explanation:

(y + 3)(y² + 8y - 2)

y(y² + 8y - 2)+ 3(y² + 8y - 2)

y³ + 8y² - 2y + 3y² + 24y - 6

y³ + 11y² + 22y - 6

Please help I do not know how to do this right answer only.

Answers

Answer:

x = 58

Step-by-step explanation:

that is a 90 degree angle - 32 degrees = 58 degrees

A software company has found that on Mondays, the polynomial function C(t) = −0.0625t4 + t3 − 6t2 + 16t approximates the number of callers to its hotline at any one time. Here, t represents the time, in hours, since the hotline opened at 8:00 A.M. How many service technicians should be on duty on Mondays at noon if the company doesn't want any callers to the hotline waiting to be helped by a technician?

Answers

Answer:

At least 16 service technicians

Step-by-step explanation:

Given

[tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]

Required

Number of service technician to be online at 12 noon

First, we calculate the value of t

[tex]t = 12\ Noon - 8:00AM[/tex]

[tex]t = 4[/tex]

Substitute [tex]t = 4[/tex] in [tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]

[tex]C(4) = -0.0625 * 4^4 + 4^3 - 6 * 4^2 + 16 * 4[/tex]

[tex]C(4) = 16[/tex]

This implies that there are 16 customers online at 12 noon.

If 16 customers are online, then there should be at least 16 service technicians online.

Which exponential equation is equivalent to this logarithmic equation?
log_(x)5+log_(x)12=7
A. 7^x=17

B. 7^x=60

C. x^7=60

D. x^7=17

Answers

Answer:

B or A

Step-by-step explanation:

Hal read 114 pages of his book during vacation. This was 60 percent of the book. How many pages does Hal have left to read

Answers

Answer:

76

Step-by-step explanation:

Let number of pages=x

60% of x=114

x=114×100/60=190

pages left=190-114=76

PLEASE HELP PLEASEEEEEEEEEEEEEEEEE​

Answers

The answer would be D=2

Answer:

B

Step-by-step explanation:

3(d+2)-12d-2

3d+6-12d-2

3d+6-12-2

3d+4-12d= -9+4

DeShawn has 3.5 bottles of water. Each full bottle holds 8.25 fluid ounces. DeShawn wants to know how many fluid ounces of water he has in all. NEED HELP

Answers

Answer: 27.625 fl oz

Step-by-step explanation:

8.25*3.5= 27.625 fl oz

PQRS is a parallelogram. Solve for x.
Plz help

Answers

Answer:  

The opposite sides of a parallelogram are congruent, then

19x - 9 = 13x + 15 ( subtract 13x from both sides )

6x - 9 = 15 ( add 9 to both sides )

6x = 24 ( divide both sides by 6 )

x = 4

---------------------------------------------

Consecutive angles are supplementary, sum to 180° , that is

10y - 37 + 4y + 7 = 180

14y - 30 = 180 ( add 30 to both sides )

14y = 210 ( divide both sides by 14 )

y = 15

Then

∠ R = 10y - 37 = 10(15) - 37 = 150 - 37 = 113°

Then

∠ P = 113° ( opposite angles are congruent )

Step-by-step explanation:

Check all the equations that apply to meet the Segment Addition Postulate in segment QA. QP=3x+7, PA=3x+2 and QA=32
Asse
MA
MARS
MAFS
3x-23=-3x

Answers

Answer:

J

Step-by-step explanation:

one more question, sorry can someone please help?​

Answers

Answer:B

Step-by-step explanation:

Honestly when I did the math I got closest to b so I think it's B hope his helps

how many times larger is 60 million than 50 million

Answers

Answer is 1/6
This is because 60/50 equals 6/5 which means it’s only 1/6 larger

find the equation that represents the proportional relationship between in this graph

Answers

Answer:

y=6/7x

Step-by-step explanation:

You need to find the slope.  The rise is 18 and the run is 21.  18/21 simplifies to 6/7

In the following diagram, m AC= 97° and m CD= 112°. Find the measure of angle x.

Answers

Answer:

x = 27

Step-by-step explanation:

Hello There!

The first thing we want to do is find the measure of arc AD

remember the circumference of a circle in degrees is 360

so to find the measure of arc AD we subtract the given arc measures (97 and 112) from 360

360 - 112 - 97 = 151

so arc AD = 151

now to find x

if you didnt know an included angle formed by tangent lines is equal to one half of its major arc minus its minor arc

For this problem to be more specific ∠B = 1 half of (arc AD - arc AC)

Now what we want to do is plug in the known information and solve for angle B

∠B = 1/2 ( 151 - 97 )

151 - 97 =54

54/2=27

so we can conclude that x = 27

Which polynomial correctly combines the like terms and puts the given polynomial in standard form?

1/3x + 8x^4 - 2/3x^2 - x

A. 8x^4 - 1/3x^2 + 2/3x

B. 8x^4 + 2/3x^2 + 2/3x

C. 8x^4 - 2/3x^2 - 2/3x

D. 8x^4 - 2/3x^2 - x

Answers

Answer:

c

Step-by-step explanation:

The answer is c because none of the other aren’t right

A national park is a rectangle that is 33 miles wide and 56 miles long, How long is a
diagonal road through the park?

Answers

Answer:

this would be a right triangle with the legs being 8 miles and 6 miles. using the Pythagorean theorem, the hypotenuse would be 10 miles long. therefore, he would be walking a total of four miles less if he walked diagonally.

Step-by-step explanation:

Answer:23

Step-by-step explanation:


Mrs. Smith's Algebra class has 29 students. There are 3 more girls than boys.
How many girls are there?
boys:
girls:

Answers

Hey there!

The answer is 13 boys and 16 girls.

We can do this by making an equation, using "x" to represent boys. Knowing there are 3 more boys than girls, we can set up the following equation:

(x + 3) + x = 29

NOTE: "x + 3" represents the number of girls, since there are 3 more girls than boys. "x" represents the number of boys. Now we can solve the equation:

x + 3 + x = 29

Add like terms:

2x + 3 = 29

Subtract 3 from both sides:

2x = 26

Divide both sides by 2:

x = 13

Therfore, there are 13 boys. To figure out girls, we simply add 3, giving us 16.

Have a terrificly amazing day! :D

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