answer.
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
SOVA2 [1]
2 years ago
9

Find the circumference of the sphere whose volume is 1375/21 cu. cm​

Mathematics
1 answer:
Anit [1.1K]2 years ago
8 0

Answer:

The circumference of the sphere is C=5\pi\ cm or C=15.7\ cm

Step-by-step explanation:

step 1

Find the radius of the sphere

we know that the volume of the sphere is equal to

V=\frac{4}{3}\pi r^{3}

we have

V=\frac{1,375}{21}\ cm^{3}

substitute and solve for r

\frac{1,375}{21}=\frac{4}{3}\pi r^{3}

assume

\pi =3.14

r^{3}=\frac{1,375}{21}(\frac{3}{4*3.14})

r=2.5\ cm

step 2

Find the circumference

The circumference is equal to

C=2\pi r

we have

r=2.5\ cm

substitute

C=2\pi(2.5)

C=5\pi\ cm

assume

\pi =3.14

C=5(3.14)=15.7\ cm

You might be interested in
A website reports that 70% of its users are from outside a certain country, and 60% of its users logon the website every day. Su
JulijaS [17]

Answer:

The value is P (I |  L  )  =     0.63

The probability has increased

Step-by-step explanation:

From the question we are told that

   The percentage that are from outside the country is  P(O) =  0.70

    The  percentage that logs on everyday is  P(L) =  0.60

    The  percentage that logs on everyday that are from the inside the country is     P(L  |  I) =  0.80

Generally using Bayes' Rule the probability that a person is from the country given that he logs on the website every day is mathematically represented as

     P (I |  L  )  =  \frac{P(I)* P(L|I)}{ P(O) *P(L|O) + P(I) *P(L|I) }

Where  P(I) is the percentage that are from inside that country which is mathematically represented as

       P(I) =  1 -  P(O)

      P(I) =  1 -  0.70

      P(I) =  0.30

And P(L| O) is  percentage that logs on everyday that are from the outside  the country which is evaluated as

      P(L| O)  =  1-  P(L| I)

       P(L| O)  =  1-  0.80

       P(L| O)  = 0.20

P (I |  L  )  =  \frac{ 0.3* 0.80 }{ 0.7 *0.20 + 0.3 * 0.8 }    

P (I |  L  )  =     0.63

Given that the percentage that are from inside that country is  P(I) =  0.30

and that the probability that a person is from the country given that he logs on the website every day is  P (I |  L  )  =     0.63

We see that the additional information increased the probability

5 0
2 years ago
What is made up of quantities and the operations performed on them
Schach [20]
Algebra is made up of quantities and the operations performed on them are addition, subtraction, multiplication and division. 
<span>Algebra is a branch of mathematics. It concerns itself with operations on sets of numbers or other elements. The sets of numbers and elements are represented by symbols. Algebra can be seen as a generalisation of arithmetic.  Letters are substituted for numbers in Algebra. For example, x + 2x will always equal 3x no matter what values the symbol x represents. The algebraic can also include polynomial functions of one or more of the variables. </span>
7 0
2 years ago
Nezzie is shopping for items for her daycare because the store is having a sale where everything in the store is 10% off. Nezzie
mojhsa [17]

Answer:

No. Nezzie has taken successive discounts on the total, but the coupon is just on the playhouse.

Step-by-step explanation:

8 0
2 years ago
In circle Y, what is m∠SZT? 86° 94° 108° 128°
liraira [26]
I'm going to assume that is your shape. 
If that is your shape, this is simple:

First, you need to solve for the angle TZU. The formula for it is:
mTZU= 0.5(arcTU+arcSR)
mTZu= 0.5(72°+100°) = 86°

Vertical angles, as you should know, are congruent. Always. mTZU is a vertical angle to mSZR. This means mSZR is also 86°

Now, the sum of all angles should be 360°. Now you need to know the remaining angles, you can do this by:
360° - 86° - 86° = 188°

Now, last step. Since mSZR is also equal to RZU because they are vertical angles, this means you need to divide 188° by 2. 
188°/2 = 94°

Your answer: m∠SZT = 94°

~Hope this helps!

6 0
2 years ago
Read 2 more answers
You are an urban planner assessing the growth of a city. Ten years ago, the city's population was 249,583. Its current populatio
joja [24]

Answer:

27.52 percent

Step-by-step explanation:

Percentage increase = (new - original)/ original * 100

new = 318270

old = 249583

Substitute in what we know

percentage increase = (318270-249583)/249583 *100

                                     = (68687/249583) *100

                                       .275207045*100

                                       27.5207045 percent

6 0
2 years ago
Read 2 more answers
Other questions:
  • The zoo needed to raise $25,000. Zoo officials planned a dinner/dance event and charged $300 per couple. What is the fewest numb
    12·1 answer
  • It took a cheetah 45 minutes to run from Jungle A to Jungle B. The average speed for the trip was 80 km/h. Find the distance bet
    15·2 answers
  • The value of an autographed baseball from 2017 is $300. The value of the baseball exponentially increases by 5% each year after
    5·1 answer
  • Two plane mirrors intersect at right angles. a laser beam strikes the first of them at a point 11.5 cm from their point of inter
    12·1 answer
  • Find the distance between the points p1 (2,-5) And p2 (-4,3)
    15·2 answers
  • Triangles ABC, EDC, and EFG are similar triangles. The measures of the three interior angles of triangle EFG are °, °, and °.
    5·2 answers
  • Which mathematical statement shows the relationship between gravity and mass?
    5·1 answer
  • The table represents an exponential function. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4
    15·1 answer
  • Clay went for a run to prepare for a long distance race comin up. From his house, he ran 6. Miles directly north and then 8 mile
    5·1 answer
  • Amad was curious if triangles \triangle ABC△ABCtriangle, A, B, C, and \triangle EDF△EDFtriangle, E, D, F were congruent. He was
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!