1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Komok [63]
4 years ago
11

A spherical balloon has a circumference of 23 cm. What is the approximate surface area of the balloon to the nearest square cent

imeter? (1 point)
674 cm2
415 cm2
168 cm2
1,662 cm2
Mathematics
1 answer:
Bad White [126]4 years ago
7 0
168cm2
Let r cm be the radius of the balloon, then 
<span>2pi(r)=23=>r=23/(2pi) </span>
<span>The surface area= </span>
<span>4pi(r^2)= </span>
<span>4pi[23/2pi)]^2= </span>
<span>(23^2)/pi=168.386 cm^2 </span>
<span>approximately.</span>
You might be interested in
PRACTICE ANOTHER A piece of wire 18 m long is cut into two pieces. One piece is bent into a square and the other is bent into an
sergejj [24]

Answer:

Step-by-step explanation:

We have the equations

4x + 3y = 18   where x = the side of the square and y = the side of the triangle

For the areas:

A = x^2 + √3y/2* y/2

A = x^2  + √3y^2/4

From the first equation x = (18 - 3y)/4

So substituting in the area equation:

A = [ (18 - 3y)/4]^2 + √3y^2/4

A = (18 - 3y)^2 / 16 + √3y^2/4

Now for maximum / minimum area the derivative = 0 so we have

A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0

-3/8 (18 - 3y) + √3 y /2 = 0

-27/4 + 9y/8 + √3y /2 = 0

-54 + 9y + 4√3y = 0

y = 54 / 15.93

= 3.39 metres

So x = (18-3(3.39) / 4 = 1.96.

This is a minimum value for x.

So the total length of wire the square  for minimum  total area is 4 * 1.96

= 7.84 m

There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.

3 0
3 years ago
The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any meth
Lubov Fominskaja [6]

Answer:

\frac{128\pi}{3} cubic units

Step-by-step explanation:

We are given that a region bounded by a curves x=(y-7)^2

x=4 and about y=5

We have to find the value of volume of the resulting solid

To find the volume of resulting solid we are using cylinder method

Substitute the values of x then we get

(y-7)^2=4

y-7=\pm2

y-7=2  and y-7=-2

y=7+2=9 and y=-2+7=5

Radius of cylinder =r=y-5

and height =h=4-(y-7)^2=4-y^2-49+14 y=-y^2+14 y -45

Using cylinder method and integrate along y -axis from y=5 to y=9

Volume =\int_{a}^{b}2\pi r h dy=\int_{5}^{9}2\pi(y-5)(-y^2+14 y -45) dy

volume=2\pi\int_{5}^{9}(-y^3+19y^2-115y+225)dy

Volume =2\pi[-\frac{y^4}{4}+19\frac{y^3}{3}-115\frac{y^2}{2}+225y]^9_5

Volume =2\pi[-\frac{6561}{4}+\frac{625}{4}+19(\frac{729-125}{3})-115(\frac{81-25}{2})+225(9-5)]

Volume=2\pi(-1484+\frac{11476}{3}-3220+900)

Volume =2\pi(\frac{11476}{3}-3804)

Volume =2\pi(\frac{11476-11412}{3})=\frac{128\pi}{3}

Hence, volume of resulting solid =\frac{128\pi}{3} cubic units

3 0
3 years ago
PLEASEE HELP ME PLEASE IT IS 30 POINTSS
Shtirlitz [24]

Answer:

B

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
On one map of a town, the scale from the town to the map is 12mi:
Yuri [45]

The distance between the school and the library is less. Then the library is closer to school.

<h3>What is dilation?</h3>

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

On one map of a town, the scale from the town to the map is 12mi:3cm.

The school is 2.5cm from the grocery store on this map.

Then the distance between the school and the grocery store will be

⇒ (12 / 3) x 2.5

⇒ 10 miles

On a different map of the same town, the scale from the town to the make is 12mi: 2cm.

The school is 1.5cm from the library on that map.

Then the distance between the school and the library will be

⇒ (12 / 2) x 1.5

⇒ 9 miles

Thus, the distance between the school and the library is less.

Then the library is closer to school.

More about the dilation link is given below.

brainly.com/question/2856466

#SPJ1

6 0
2 years ago
36/45 reduced in the lowest terms
malfutka [58]

Answer:

\frac{4}{5}

Step-by-step explanation:

They both (36 and 45) go into 9. Divide them both by 9.

\frac{4}5}

6 0
4 years ago
Read 2 more answers
Other questions:
  • What is the turning point of this function?
    6·1 answer
  • 3/8 * 4 ____*____=_____=______
    9·1 answer
  • This type of number can be written as a fraction p/q, where p and q are integers and q is not equal to zero.
    9·2 answers
  • 5x – 4&gt;-4<br> What the answer
    11·1 answer
  • What is the slope of a line that is perpendicular to the line v=-1/3x-6
    11·1 answer
  • Susie wanted grape jelly with her toast and noticed that the butter knifeshe was using to get the jelly out of the jar fit in th
    15·1 answer
  • How many dimes equal the value of 6 quarters.show you step​
    10·2 answers
  • PLEASE HELP ASAP
    7·1 answer
  • Solve the equation:<br> [3 2<br> 5 5]<br><br> [x1<br> x2]+<br> [1<br> 2]=<br> [2<br> -3]
    14·1 answer
  • Please help with this it's urgent!!! Please explain your answer and I will mark brainliest!!!
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!