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

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

Answer:

J

Step-by-step explanation:

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

Answer:

x = 58

Step-by-step explanation:

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

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:

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

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

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

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:

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.

Answer:

5. 2=1+1

6. 0= -3*0

7.2=3*0+2

Answer: 27.625 fl oz

Step-by-step explanation:

8.25*3.5= 27.625 fl oz

Answer:

c

Step-by-step explanation:

Answer:

1. =−2

2.

3.

4. a=1

5. x=-1/2

6. x=4.2

Step-by-step explanation:

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

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

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

Answer:

B

Step-by-step explanation:

3(d+2)-12d-2

3d+6-12d-2

3d+6-12-2

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

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

Answer:

12

Step-by-step explanation:

6x12=72

3x12=36

36+36=72

Answer: 23.

Step-by-step explanation:

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]

Answer:A

Step-by-step explanation:

Dotted line means less than so it has to be A

Answer:

Step-by-step explanation:

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

Answer:

Answer:

-35π/18 radians

Step-by-step explanation:

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

Answer:

3.5

Step-by-step explanation:

3.5 + 3.5 = 7

Answer:

B or A

Step-by-step explanation: