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

the length of a rectangle is 2 inches less than 3 times it width . The perimeter of the rectangle is 124 inch. WHat is the length of the rectangle

Answers

Step-by-step explanation:

let w = width

length = 3w-2

perimeter = 2*length + 2*width

perimeter = 2(3w-2) + 2w

perimeter = 6w - 4 + 2w

perimeter = 8w - 4

perimeter = 124 inch

8w - 4 = 124inch

+4 to each side

8w = 128inch

divide each side by 8

w = 16

length = 3w-2

           = 3(16) - 2

length = 46 inch

please help me this is due tonight and i am NOT good at math :(

Answers

Answer:

AC = 8.2 m

AD = 8.57 m

Step-by-step explanation:

The answers were rounded to the nearest hundredth, hope this helps!

Which set of side lengths form a right triangle?


50 in., 48 in., 14 in.

53 m, 48 m, 24 m

3 ft, 6 ft, 5 ft

8 cm, 17 cm, 14 cm

Answers

Answer:

50 in. 48 in. 14 in.

Step-by-step explanation:

Write an equation to show how many times greater the value of a 5 in the tens place is than a 5 in the tenths place

Answers

5x10 is tens place and 5x.1 is tenths place if i that helps :]

What is the classification for this polynomial? 6xyz + xy Click on the correct answer. monomial binomial trinomial​

Answers

Answer:

Binomial

Step-by-step explanation:

the polynomial has two terms 6xyz and  xy

Someone help me please help me!!!

Answers

Here you go: the answers
7. C
8. A

solve all of these ?

Answers

21 Answer:

[tex] \frac{3}{a} [/tex]

22 Answer:

[tex] \frac{1}{ {b}^{3} } [/tex]

23 Answer:

[tex] \frac{ {4a}^{2}c^{3} }{ {b}^{2} } [/tex]

24 Answer:

[tex]9c ^{4} [/tex]

25 Answer:

[tex] - \frac{1}{ {a}^{2} } [/tex]

26 Answer:

[tex] \frac{1}{ {c}^{2} } [/tex]

6n blocks of clay are shared among 14 students. Write and algebraic expression for the number of blocks of clay that each student will get

Answers

6n divided by 14 (sorry I do not have a divide sign)

Hope this helps!:)

Answer:

6n ÷ 14

Step-by-step explanation:

the blocks are shared among the people.

How to graph absolute value functions?

Answers

Answer:

DJthresh

ugh yet the wasn't Hagel

what’s the answer to this question

Answers

Step-by-step explanation:

I can't see the question. please resend picture

which expression is equivalent to 6x + 8

Answers

Answer: 2(3x+4)

Explanation:
We would use the distributive property to multiply 2 by 3x, then again by 4, which gives us 6x+8.

Hope it helps you...

2(x+3)=x-4 solving equations

Answers

Answer:

X=-10 most likely

Step-by-step explanation:

2x+6=x-4

2x-x=-6-4

X=-10

Answer:

x= -10

Step-by-step explanation:

2(x+3) = x-4

Distribute to simplify left side, 2x+6= x-4-x both sides, x+6= -4subtract 6 both sides, x=-10

I'm so confused on this can someone please help and explain it to me!

Answers

Answer:

A's coordinates are:

A. (-4, 3)

Step-by-step explanation:

Because the x  always goes first,

So that will mean -4 will go first.

After you have -4 down, you will see that A's point on the graph is (-4, ?)

To answer the ?, you will have to check the y.

Because remember, The x-coordinate always comes first, followed by the y-coordinate.

So, it will be (-4, 3)

and 3 will be the fill in for y.

I hope this helps     :)

Consider a system of two linear equations in two variables. If the graphs of the equations are not the same line, is it possible for the system to have infinitely many solutions. Explain.

Answers

Answer:

No

Step-by-step explanation:

Solutions to systems of equations are points at which the lines of the equations intersect. Knowing this, only equations representing the same line would have infinitely many solutions because they would intersect at every one of each other's points - they're the exact same line. Therefore, if they are not the same line, they would not intersect at each and every point, and would not have infinitely many solutions.  

Which scatterplot shows a nonlinear association?

Answers

Answer:

B

Step-by-step explanation:

B shows a parabola, which is a quadratic equation, not a linear one.

The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis. On the graph, each individual in the data is represented by a point.

What is scatter plot?

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.

here, we have,

we know that,

The relationship between two economic phenomena, such as employment and output, inflation and retail sales, and taxes and economic growth, can be visually illustrated using scatter plots.

Spread Plots. Points on a scatter (XY) plot depict how two sets of data relate to one another. Each dot in this illustration represents a person's weight in relation to their height. (The information is displayed as "Cartesian (x, y) Coordinates")

Display a connection between the data and a trend. Display all data points, including outliers, minimum, and maximum values. can draw attention to relationships. the sample size and exact data values are retained.

To learn more about scatterplots refer to:

brainly.com/question/6592115

#SPJ7

A mountain climber found that the relationship between his altitude and the surrounding air
temperature is linear. The function f (a) = - -100 a + 75 represents this relationship, where a
is the altitude in meters and f(a) is the temperature in degrees Fahrenheit. According to this
function, by how much is the temperature decreasing for every meter that the mountain climber's
altitude increases?
IF
100
O IF
100
75 F
-75F

Answers

Answer:- 1/100 degrees Fahrenheit

Step-by-step explanation:

The directions say decreasing so it has to be negative, and the slope is showing how much it is decreasing every meter. y=mx+b. The mx is the slope which is where the answer is located.

Please Help!!!! need it just right now

Answers

Answer:

A. y = x² + 12x - 8

Step-by-step explanation:

The u-shaped function should have:

positive leading coefficienteven degree

The only function with mentioned parameters is:

y = x² + 12x - 8

Correct option is A

The other options don't fit:

B. Even degree with negative leading coefficientC. Odd degreeD. Odd degree

i need help with this. its dividing polynomials

Answers

Answer:

I don't know how to solve it

Answer:

x^2 + 3x + 9 + 7/x-3

Please help I don’t understand

Answers

Answer:

QS is a triangle. Because QS are connected and split down the middle which made a triangle.

Step-by-step explanation:

Jake and three of his friends had an Easter egg dying party. Each of the boys received 6 eggs to dye. What was total number of eggs jake and his friends dyed?

Answers

Answer:

30

Step-by-step explanation:

took the test

Answer:

24

Step-by-step explanation:

6 x 4 = 24

Abdul deposited $460 into a savings account that has a simple interest rate of 3.5%. Isaac deposited $550 into a savings account that has a simple interest rate of 2.8%. Who earned more interest in one year?

Answers

Answer:

Adbul earned more interest

Step-by-step explanation:

3.5% of 460 = 16.1

2.8% of 550 = 15.4

Adbul earned more interest

I need help what is 3/2 to the third power?

Answers

It’s the 9 because it’s 3 times 3

50 POINTS! false answers will be reported and u wont get points

Can a solution to this equation be 3, because then both sides would have divide by 0?

Answers

Answer:

Step-by-step explanation:

If we multiply x - 7 by x - 3, we get x^2 - 10x + 21.  This shows that the LCD is x^2 - 10x + 21, or (x - 7)(x - 3).  Let's convert each of the two fractions on the right to their equivalents, with the LCD in the denominator.

Multiplying both the numerator and the denominator of 6/(x - 7) by (x - 3), we get 6(x - 3) over x^2 - 10x + 21, which is the LCD.

Similarly, we get 5(x - 7) over x^2 - 10x + 21.

Now all three of the original fractions have the same denominator, x^2 - 10x + 21.  We can now "drop" the LCD, which leaves us with:

x^2 - 29 = 6(x - 3) + 5(x - 7)  

                                                             

Performing the indicated multiplications, we get:

x^2 - 29 = 6x - 18 + 5x - 35.  Combining like terms:

x^2 - 29 = 11x - 53, or x^2 - 11x + 24 = 0

This factors as follows:   x^2 - 11x + 24 = 0 = (x - 3)(X - 8) = 0

Then the preliminary solutions are x = 3 and x = 8.  Unfortunately, we cannot substitute x = 3 into the original equation, because that would lead to division by zero.  The only valid solution is x = 8, since every term of the original equation is defined at x = 8, and the equation is true for this value.

Repeat:  3 cannot be a solution because the 3rd fraction is undefined at

x = 3.  So we have only one valid solution (8) with no other solution to multiply by 8.

Answer: You may divide by a variable. But only if you know the variable is non-zero. So, if setting the variable to zero makes both sides of the equation zero, we have a solution that that variable is 0, or the equation with the variable divided out holds. E.g. solve x(x-1) = 0.

Which rule explains why these triangles are congruent?

Answers

Answer:

ASA

Step-by-step explanation:

ANGLE SIDE ANGLE

according to your option

find the value of given expression

[tex] \sqrt{65 \times 65} [/tex]

Answers

Answer:

[tex]\huge \colorbox{blue}{65}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:PEMDAStips and formulas:

order of PEMDAS

parenthesesexponentmultiplication ordivisionaddition orsubstractionleft to rightlet's solve:

simplify multiplication:

[tex] \displaystyle \: \sqrt{ {65}^{2} } [/tex]

use [tex]\sqrt{x^m}=x^{\frac{1}{2}\times m}[/tex] to simplify:

[tex] \displaystyle \: = {65}^{2 \times \frac{1}{2} } \\ = {65}^{ \cancel{ \: 2 }\times \frac{1}{ \cancel{ \: 2}} } \\ = {65}^{1} [/tex]

as we know x¹=x

therefore our final answer is

65

Answer:

[tex]65[/tex]

[tex] \sqrt{65 \times 65} \\ = 65[/tex]

If $42,000 is invested at 7% in a savings account for 8 years, what is the final amount monthly and continuously?

Answers

Answer:

7,000

Step-by-step explanation:

so I think u divide $42,000 by 8 and then by 7%.

yea

What is the measure of DCF?
E
D
75°
54°
F.
The measure of ZDCF is
degrees.

Answers

angle DCF = angle DCE + angle ECF

angle DCF = 75° + 54°

angle DCF = 129°

Measure of < DCF is  [tex]129^{0}[/tex].

What is an angle?

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

According to the figure

< DCE = [tex]75^{0}[/tex]

< ECF = [tex]54^{0}[/tex]

Measure of < DCF = < DCE + < ECF

=  [tex]75^{0}[/tex] +  [tex]54^{0}[/tex]

= [tex]129^{0}[/tex]

Hence, measure of < DCF is  [tex]129^{0}[/tex].

Find out more information about angle here

https://brainly.com/question/7116550

#SPJ2

Marcus mows lawns for his summer job. He earns $15 per lawn. If he earned $75 dollars during the week, how many lawns did he mow? Pls answer the question.

Answers

the answer is going to be 5

What is the mass of 1.50 moles of Cl ?​

Answers

Answer

:Assuming you are talking about odium chloride,NaCl your answer would be

87.7 g

we discover the answer because 1 x 22.99 + 1 x 35.99= 58.4 g/mol

1.50 Moles:

We need to multiply our initial  value by 1.50.

1.50 x 58.44/1= 87.66 = 87.7 g

Hope this helps

                                                                       -Tobie the dog <3

Use a net to find the surface area of the prism.
7 cm
10 cm
5 cm

Answers

Answer:

10 cm i think

Step-by-step explanation:

but i dont know.

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