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
Serga [27]
3 years ago
15

What is the surface area of the sphere?

Mathematics
1 answer:
Fantom [35]3 years ago
7 0

Answer:

<em>The surface area of the sphere is 314 mi².</em>

Step-by-step explanation:

According to the given diagram, the diameter of the sphere is 10 mi.

If the radius is r, then diameter =2r

So....

2r=10\\ \\ r=\frac{10}{2}= 5

<u>Formula for the surface area of a sphere</u>:  A_{S}= 4\pi r^2

Plugging the value of r into this formula, we will get...

A_{S}=4\pi(5)^2\\ \\ A_{S}=4\pi(25)\\ \\ A_{S}=4(3.14)(25)\ \ [Using\ \pi=3.14]\\ \\ A_{S}=314

So, the surface area of the sphere is 314 mi².

You might be interested in
p varies jointly as q and the square of r, and p = 200 when q = 2 and r = 3. Find p when q = 5 and r= 2.
Margarita [4]

Step-by-step explanation:

If a variables varies jointly, we can just divide it by the other variables in relation to it.

For example, since p variables jointly as q and square of r, then

\frac{p}{q {r}^{2} }  = k

where k is a constant

First, let find k. Substitute p= 200

q= 2, and r=3.

\frac{200}{2(3) {}^{2} }  = k

\frac{200}{18}  = k

\frac{100}{9}  = k

Now, since we know our constant, let find p.

\frac{p}{q {r}^{2} }  =  \frac{100}{9}

Q is 5, and r is 2.

\frac{p}{5( {2}^{2}) }  =  \frac{100}{9}

\frac{p}{20}  =  \frac{100}{9}

p =  \frac{2000}{9}

3 0
1 year ago
(5x2 + 4x + 3) - (2x2 - 2x + 5)
Setler [38]

Answer:

3x^2+6x-2

Step-by-step explanation:

(5x2 + 4x + 3) - (2x2 - 2x + 5)

5x^2+4x+3-2x^2+2x-5

3x^2+6x-2

7 0
3 years ago
Parallelogram R S T U is shown. Angle S is 70 degrees.
olya-2409 [2.1K]

Answer:

<h3>B. m∠R = 110°, m∠T = 110°, m∠U = 70°</h3>

Step-by-step explanation:

The opposite angles of the parallelogram are the same.

From the diagram;

<S = <U and <R = <T

Given

<S = 70°

Since <S = <U, hence <U = 70°

Since the sum of angles in a quadrilateral is 360 degrees, hence;

<R+<S+<T+<U = 360

Since <R = <T, then;

<Y+<S+<T+<U = 360

2<T + 70+70 = 360

2<T = 360-140

2<T = 220

<T = 220/2

<T = 110°

Since <T = <R, then < R = 110°

Hence m∠R = 110°, m∠T = 110°, m∠U = 70°. Option B is correct

4 0
3 years ago
Read 2 more answers
Please help i dont get this at all
Tom [10]

Answer:

\frac{20y^{2} a^{2} }{41bx^{3} }

Step-by-step explanation:

1) Flip the second fraction and change the operation to multiplication:

\frac{5x^{2}y^{3}  }{2a^{5}b^{4}  } *  \frac{8a^{7}b^{3}  }{41x^{5}y  }

2) Cross cancel factors:

\frac{5y^{2}   }{2b  } *  \frac{8a^{2}  }{41x^{3}  }

3) Multiply:

\frac{40y^{2} a^{2} }{82bx^{3} }

4) Simplify:

\frac{20y^{2} a^{2} }{41bx^{3} }

4 0
3 years ago
Read 2 more answers
I need for homework please answer
Vlada [557]

Answer:

well, they all give you answers as fractions,

A.=1/9

B.=1/64

C.=1/64

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • That are the greatest common factors of 16 28 and 48
    11·2 answers
  • Please Help!!! Brainliest will be given!
    5·1 answer
  • the probability of Tina's winning a tennis game is 75%. What is the probability that Tina will lose a game
    12·2 answers
  • The table compares the daily average temperature in a park (in degrees Celsius) and the number of people who visited the park th
    14·2 answers
  • The area of the following rectangle is 24 square units.
    6·1 answer
  • This Question: 1 pt
    14·1 answer
  • Mai received a $70 gift card for a coffee store. She used it in buying coffee that cost $8.48 per pound. After buying the coffee
    9·2 answers
  • HELP!! what inequality is this??
    15·1 answer
  • By selling 80 oranges a shopkeeper loses the cost price of 20 oranges.Find his loss percent.​
    11·1 answer
  • Why can't <img src="https://tex.z-dn.net/?f=x%5E2-5x-1" id="TexFormula1" title="x^2-5x-1" alt="x^2-5x-1" align="absmiddle" class
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!