Mathematics High School

The radius,
R
, of a sphere is
5.8m
. Calculate the sphere's volume,
V
.
Use the value
3.14
for
π
, and round your answer to the nearest tenth.

Answers

Answer 1
V=(4/3)πr^3
(4/3)*π*5.83≈817.28323 or Rounded to the nearest tenth, 817.3

Related Questions


Which values are solutions to the inequality below?

Check all that apply.
>4


A. 17
B. 15
C. 19
D. 8
E. 4
F. 16

Answers

A, B, C, D, and F are all values that are solutions

If John makes $20 an hour, how long will it take him to make $140?


120 hours


70 hours


7 hours


160 hours

Answers

For 1 hour, money = $20
For $140, it would be: 140/20 = 7 hours.

So, option C is your final answer.

Hope this helps!

There are 10 students running a race. The fastest three get a gold, silver, or bronze medal. How many different ways can the students win these medals? ...?

Answers

There are 720 ways.

That's because there are 10 ways for someone to be first, 9 ways for someone to be second after him, and 8 for someone to be third after them, so 10 x 9 x 8 = 720.

Which digit has the greatest value and why??

Answers

The one with the most digits has the greatest value because it is bigger in number.

What is 40.53 ounces converted to liters?

Answers

1.1986152 is the answer.

Mikel traded Australian dollars for Thai baht at an exchange rate of 1 Australian dollar = 29.3225 Thai baht. He gave the exchanger a total of $1900 and was charged a flat fee of $40. Approximately how many Thai baht does Mikel have?

Answers

1900-40
1860*29.3225 = 52679.85 thai baht
it's actually 54539.85.
1900-40=1860
1860 x 29.3225 = 54539.85

Elisa has a DVD collection. She has 10 horror movies, 20 comedies and 15 action movies. If she picks one at random to watch, what is the probability that it is an action movie?

Answers

The probability of picking an action movie is 1/3

find m KTL. Please I need help

Answers

The answer is: m∡ KTL = 66°
___________________________
Given: m∡3 = m∡4 = 123° ;

Since the sum of ALL ANGLES in ANY TRIANGLE equal 180°; 
 
    →  the m∡ KTL = 180 − ( m∡ KLT  + m∡TKL) 


We want to find

1) m∡ KLT  ; AND:
2) m∡ TKL   ,'
_____________
{Note: Alternatively, "m∡ KLT" can be written as: "m∡ TLK" ; and:
           "m∡ TKL" can be written as: "m∡ LKT" . }.
________________________________________________
Since the sum of ALL ANGLES in ANY TRIANGLE equal 180; 
 
     → m∡ KTL = 180 − ( m∡ KLT  + m∡TKL) ; 
___________________________________________
Or: →  m∡ KTL = 180 −  m∡ KLT  −  m∡TKL ; 

Since, the distributive property of multiplication states:
________________________________
    →  a* (b + c) = ab + ac ; AND
    →  a *(b − c) = ab − ac  
______________________________
Thus: m∡ KTL = 180 − ( m∡ KLT  + m∡TKL) =
 
→      180 − 1( m∡ KLT  +  m∡TKL ) ;
_____________________________________
→Note: The invisible "1" is implied, since anything multiplied by "1" equals that same value.   We treat this as "-1" (negative one), due to the "minus sign).
_______________________________________
           →  -1 * ( m∡ KLT  +  m∡ TKL ) =

           →  -1 * (1 m∡ KLT + 1 m∡TKL ) =
          
           → (-1 * 1 m∡ KLT)  + ( -1 * 1 m∡TKL ) =

           → (-1 m∡ KLT)       + ( -1 m∡TKL) = 

           →  -1 m∡ KLT − 1 m∡TKL    ; 
_________________________________
Now, bring down the "180" and rewrite: 
_____________________________________
→ 180 − 1 m∡ KLT − 1 m∡TKL ;  →  Delete the "ones" ; and Rewrite:
__________________________________________
→ 180 − m∡ KLT − m∡TKL ; 
_______________________
      → m∡ KTL = 180 − m∡ KLT − m∡TKL = 180 − (m∡ KLT + m∡TKL) ;
__________________________________________________________
→Now, solve for: m∡ KLT ;
_____________________________
→Using the diagram; m∡ KLT = 180 − m∡4 ; Given m∡4 = 123; and 
 ∡4 and ∡KLT are supplementary angles [the only two (2) angles on a particular straight line]; the sum of m∡4 and m∡KLT = 180.

           →  m∡ KLT = 180 − m∡4 = 180 − 123 = 57 .
_____________________________________________
→Now, solve for: m∡TKL  ;
______________________________
 →Using the diagram; m∡ TKL = 180 − m∡3 ; Given m∡3 = 123; and 
 ∡3 and ∡TKL are supplementary angles [the only two (2) angles on a particular straight line]; the sum of m∡3 and m∡KLT = 180.

             →  m∡ KLT = 180 − m∡4 = 180 − 123 = 57 
______________________________________________
→So, in our "triangle":  ΔKTL; we want to find the m∡T;  that is m∡KTL; 
____________________________________________
    We know that each of the other 2 (two) angles in this triangles measures 57° .
______________
So, we calculate as follows:
____________________________
Method 1:
___________
 m∡ KTL = 180 − ( m∡ KLT  + m∡TKL)
             =  180 − ( 57 + 57) = 66° .
___________________________________________
Or:  Method 2: 
___________________________________________
 m∡ KTL =  180 − ( m∡ KLT  + m∡TKL) 
              =  180 − ( 57 + 57)
              =  180 − (57 * 2) = 180 − 114 = 66° . 
________________________________________
Or: Method 3:  
_________________________
→  m∡ KTL = 180 −  m∡ KLT  −  m∡TKL
                  = 180 − 57 − 57 = 66° .
______________________________________________________
Answer:  m∡ KTL = 66° .
_______________________________________________________
→ Let us check our answer to see if it "makes sense": 
____________________________________
66 + 57 + 57 =? 180?

66 + 57 = 123;   123 + 57 =? 180 ? Yes!
______________________________________________

Solve.
 
-7/3n = -42
 
n =

Answers

Correct answer is 98

Answer:

the real answer is -18 if ur k12

Step-by-step explanation:


You are buying potato chips at the grocery store. You have a manufacturers coupon for a $1.00 off and the store is offering 20% off if you buy 2 bags. You decide to buy 2 bags of potato chips. How do you compute your final cost?

A. Subtract $1.00 off each bag and then multiply by .20
B. Multiply each bag by .20, subtract $1.00 off of each bag, and then add them together.
C. Add the two bags together, multiply by .80, and then subtract $1.00.
D. Subtract $1.00 from the first bag, then add them together, and then multiply by .80.

Answers

Based on the given scenario above, the correct answer would be option A. So in order for you to compute your final cost for the potato chips you purchase, what you should do is that, you subtract $1.00 off each bag and then multiply by .20. Hope this answers your question. Have a great day!

Answer:

The correct option is:   C.  Add the two bags together, multiply by .80, and then subtract $1.00.

Step-by-step explanation:

First you need to add the prices of two bags for getting the total sales price.

Now, the store is offering 20% off, that means you need to pay 80% of the total sales price. For finding the amount, we need to multiply the total sales price by 0.80

Then, you have a manufacturers coupon for a $1.00 off. So, for fining the final price, you need to subtract that $1.00 from the last result.

Thus, the correct option will be......

C. Add the two bags together, multiply by .80, and then subtract $1.00.

Which of the following statements are true of a transversal?

It is a line.
It is parallel to other coplanar lines.
It intersects two or more coplanar lines.
It bisects line segments.
It can be perpendicular to other lines.

Answers

Definition: A transversal is a line that crosses at least two other lines.

Main properties:

It is a line (A is true).It is not parallel to other coplanar lines, because it crosses them (B is false).It intersects two or more coplanar lines (C is true).It bisects line segments (D is false).It can be perpendicular to other lines, it can be perpendicular to lines which it crosses (E is true).

Answer: true are options A, C and E.

Final answer:

A transversal in Mathematics is a line that intersects two or more lines at different points, but does not necessarily have to be parallel or bisect these lines. It can, however, be perpendicular to them.

Explanation:

In the subject of Mathematics, a transversal refers to a line that intersects two or more coplanar lines at different points. Therefore, the statement 'It is a line' and 'It intersects two or more coplanar lines' are true for a transversal.

The term transversal doesn't necessitate that it be parallel to other coplanar lines, nor does it indicate that it bisects line segments, so these statements are false. However, a transversal can be perpendicular to other lines if it intersects them at 90-degree angles.

Learn more about transversal here:

https://brainly.com/question/33245447

#SPJ6

Is the number ���12/4 rational

Answers

Yes because 

12/4 is 3

Simplify. √24

A √38

B √212

C √26

D √46

Answers

the closest answer would have to be C.√26
Final answer:

To simplify √24, we find its prime factors, pair them up, and bring one number from each pair outside the square root. The remaining numbers stay under the square root. The correct answer is 2√6. The options provided in the question are all incorrect.

Explanation:

The problem is asking us to simplify √24, which is a typical Mathematics question in Middle School. Here are the steps we need to take:

Find the prime factors of 24. They are 2, 2, 2, and 3.Group the factors in pairs. We have one pair of 2's.Take one number from each pair outside the square root symbol. So, we have 2.The remaining numbers (2 and 3) stay under the square root symbol, multiplied together to give 6.

Therefore, √24 simplifies to 2√6.

All the options provided (A √38, B √212, C √26, D √46) are incorrect.

Learn more about Simplifying Square Roots here:

https://brainly.com/question/1441039

#SPJ3

The radius of a cylindrical water tank is 5.5ft, and its height is 8ft
. What is the volume of the tank? Use the value 3.14 for π, and round your answer to the nearest whole number.Be sure to include the correct unit in your answer.

Answers

The volume of the cylindrical water tank with a radius of 5.5 feet and a height of 8 feet is 760 cubic feet after rounding to the nearest whole number.

To calculate the volume of a cylindrical water tank, we use the formula V = , where V represents volume, is the constant Pi, approximately equal to 3.14, r is the radius of the cylinder, and h is its height.

Given that the radius r is 5.5 feet and the height h is 8 feet, substituting these values into the formula gives us:

V = 3.14 * (5.5ft) * 8ft

First calculate the radius squared:

5.5ft * 5.5ft = 30.25ft

Now, calculate the volume:

V = 3.14 * 30.25ft * 8ft = 3.14 * 242ft = 759.88ft

After rounding to the nearest whole number, the volume is 760 cubic feet.

Which is an equation in point-slope form for the given point and slope?   point: (–2, 4); slope: 5 y – 4 = 5(x – 2) y – 4 = 5(x 2) y 4 = 5x – 10 y 4 = 5(x 2)

Answers

The point-slope formula is y - y1 = m( x - x1 ). In this case, y1 represents the y-coordinate of the point, m represents the slope, and x1 represents the x-coordinate of the point. To solve, all we need to do is plug in our given point and slope.

y - 4 = 5( x + 2 )  

what is 234/78 I need help

Answers

The answer to 234/78 is 3
the remainder of the answer is 3 or the answer is 3. 

In the diagram below, KL = 12 and LM = 8. Which additional facts would guarantee that JKLM is a parallelogram? Check all that apply.

Answers

By definition, a parallelogram is a figure that has opposite sides parallel or it has two pairs of sides that are parallel. Based on the given figure above, the additional facts that would guarantee that JKLM is a parallelogram are the following: JK= 8 and JM= 12 and JK= 8 and JK is parallel to LM. Hope this answer helps.

Solve for x: 3(x + 1) = −2(x − 1) + 6

A. 1

B. 4

C. 5

D. 25

Answers

3(x+1)=-2(x-1)+6
3x+3=-2x+8
5x=5
x=1

Thus, A would be the answer.

Answer:

Correct option is:

A. 1

Step-by-step explanation:

3(x + 1) = −2(x − 1) + 6

⇒ 3x+3= -2x+2+6

⇒ 3x+3= -2x+8

⇒ 3x+2x=8-3

⇒ 5x=5

dividing both sides by 5

⇒ x=1

Hence, the correct option is:

A. 1

what is a another was to write (3 x 1,000) (3 x 10) (3 x 1/100) (3 x 1/1000)

Answers

(3×1/1000) hope it helps.
3030.033 would be another way to write it out

What is the axis of symmetry of the function f(x) =-(x+9)(x-21)

Answers

f(x) =-(x+9)(x-21)

Manipulating algebrically,
We get,
f(x) =-(x+9)(x-21)
      = -(x^2 -21x + 9x - 189)
      = -(x^2 -12x - 189)
      = -x^2 + 12x + 189
Axis of symmetry = -b/2a
plugging the values,
x = -12/-2
   = 6

Answer:

x = 6

Step-by-step explanation:

The given equation is [tex]f(x)=-(x+9)(x-21)[/tex]

We write the equation in standard form of parabola [tex]f(x)=ax^2+bx+c[/tex] using FOIL

[tex]f(x)=-(x+9)(x-21)\\\\f(x)=-(x^2-21x+9x-189)\\\\f(x)=-x^2+12x+189[/tex]

Now, we know that the axis of symmetry passes through the vertex. Hence, in order to find the vertex of the parabola, we find the x coordinate of the vertex.

x coordinate of the vertex is [tex]-\frac{b}{2a}[/tex]

Here, a = -1 b = 12

[tex]-\frac{b}{2a}\\\\=-\frac{12}{2\cdot(-1)}\\\\=-(-6)\\\\=6[/tex]

Therefore, the axis of symmetry is x = 6

what is x+2+x^2+2
what is x+2+x^2+2
what is x+2+x^2+2

Answers

If you factor the expression, your answer would look like this:
x + x^2 + 4
If you simplify the expression, your answer would look like this:
x^2 + x + 4

Answer: x^2 + x + 4


Step-by-step explanation:

You factor the expression to x + x^2 +4

Then you simplify to x^2 + x +4

Angle θ lies in the second quadrant, and sin θ = 3/5

Answers

the answer is this because it is -4/5 cost 
-3/4 tan

Answer:

sin θ [tex]=\frac{3}{5}[/tex]

It is given that , Angle θ lies in the second quadrant.

In the right triangle, Perpendicular =3 units, and Hypotenuse = 5 Units

As, sinθ  is positive in second Quadrant also.That is , sin(π-θ )=sin θ

Also, [tex]sin(\frac{\pi}{2}-\Theta)=cos\Theta[/tex]

[tex]sin (\Theta) = 3/5\\\\  (\Theta) =sin^{-1} \frac{3}{5} {\text{or}} (\Theta) =\pi -sin^{-1} \frac{3}{5}\\\\cos(\frac{\pi}{2}-\Theta)= \frac{3}{5}\\\\ \frac{\pi}{2}-\Theta=cos^{-1}[\frac{3}{5}]\\\\ \Theta= \frac{\pi}{2}-cos^{-1}[\frac{3}{5}][/tex]

So, [tex]\pi-\Theta= \frac{\pi}{2}+cos^{-1}\frac{3}{5}, {\text{or}}\pi -sin^{-1} \frac{3}{5}[/tex]

are values of theta which lies in second quadrant.

Michael and kathryn bowl together and their combined total score for one game was 425 points. Michael's score was 70 less than twice kathryn's. which system of equations models the problem if x represents kathryn's score and y represents michael's score ?

A. x+y=70
y=2x-425

B. x-y=425
y=2x-70

C.x+y=425
y=2x-70

D. x+y=425
y=2x+70

Answers

A is the answer i just took the quiz.

Answer:

Option C is correct

[tex]x+y = 425[/tex]

[tex]y = 2x-70[/tex]

Step-by-step explanation:

Here, x represents Kathryn's score and y represents Michael's score.

As per the statement:

Michael and Kathryn bowl together and their combined total score for one game was 425 points.

⇒[tex]x+y = 425[/tex]

It is also given that Michael's score was 70 less than twice Kathryn's.

⇒[tex]y = 2x-70[/tex]

Therefore, the system of equations models the problem is:

[tex]x+y = 425[/tex]

[tex]y = 2x-70[/tex]

Solve for x: 1 over 4 (2x − 14) = 4

x = 15

x = 15 over 2

x = 9

x = 11

Answers

1/4 (2x - 14) = 4
2x - 14 = 16
2x = 30
x = 15

what is 6800/5788 please hurry

Answers

1.7484450 is the answer
6800\5788=1.17484451
that's the answer 

1 plus 1/4 equals what??

Answers

1.25!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1.25 or 1 1/4. (1/4 equals .25)

2. mrs. barlow's math class took a test yesterday. out of 70 students, 70% of them passed. how many of mrs. barlow's students passed the test?

Answers

70 percent of 70 is 49 students. 
49 students passed the test. 70*.7 = 49

After a certain number of moves in a chess game, the ratio of black pieces to white pieces is 4 to 3. If there are 12 black pieces on the board, which proportion can be used to find the number of white pieces?

Answers

What times 4 equals 12? 3! So if 3x4=12 then do 3x3 to find the white pieces;)

To find the number of white pieces when the ratio of black pieces to white pieces is known, set up a proportion and solve for the missing variable. In this case, the number of white pieces is 9.

To find the number of white pieces, we can use the proportion 3/4 = W/12, where W represents the number of white pieces.

Cross multiply to get 3*12 = 4*W

Therefore, 36 = 4W

Divide by 4 to find that W = 9.

how do i simplify -2x - y - 2z ???

Answers

- (2x+y+2z) = -(2(x+z) + y)

The figure below shows a trapezoid, ABCD, having side AB parallel to side DC. The diagonals AC and BD intersect at point O.


If the length of AO is three times the length of CO, the length of BO is

one-third the length of AC

one-third the length of AB

three times the length of DO

three times the length of DC

Answers

BO is the same length as AO, and DO is the same length as CO. therefore BO is three times the length of DO.

Answer:

Length of BO is three times the length of DO.

Step-by-step explanation:

In trapezoid ABCD, [tex]CD\ ||\ AB[/tex]

In ΔCDO and ΔABO,

[tex]m\angle CDO=m\angle ABO[/tex] (Alternate interior angles)[tex]m\angle DCO=m\angle BAO[/tex] (Alternate interior angles)

So, [tex]\Delta CDO\sim \Delta ABO[/tex] according to Angle-Angle similarity.

Therefore, the ratio of corresponding sides will be same.

[tex]\Rightarrow \dfrac{OD}{OB}=\dfrac{OC}{OA}[/tex]

[tex]\Rightarrow \dfrac{OD}{OB}=\dfrac{OC}{3\cdot OC}[/tex]

[tex]\Rightarrow \dfrac{OD}{OB}=\dfrac{1}{3}[/tex]

[tex]\Rightarrow OB=3\cdot OD[/tex]


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