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ICE Princess25 [194]
3 years ago
8

Which solid has a volume that is 1/3 the volume of a cylinder? A) B) C) D)

Mathematics
1 answer:
Trava [24]3 years ago
7 0
B..................................................
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Write an equation of an ellipse in standard form with the center at the origin and a height of 12 units and width of 19 units.
gladu [14]

Answer:

The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

Step-by-step explanation:

* Lets revise the equation of the ellipse

- The standard form of the equation of an ellipse with center (0 , 0 )  

  and major axis parallel to the x-axis is x²/a² + y²/b² = 1  

# a > b  

- The length of the major axis is 2a  

- The coordinates of the vertices are ( ± a , 0 )  

- The length of the minor axis is 2b  

- The coordinates of the co-vertices are ( 0 , ± b )  

- The coordinates of the foci are ( ± c , 0 ) , where c ² = a ² − b²  

* Lets solve the problem

∵ The center of the ellipse is (0 ,0)

∵ Its width is 19 units

∴ The length of the major axis is = 19

∴ 2a = 19 ⇒ divide both sides by 2

∴ a = 19/2 ⇒ ∴ a² = 361/4

∵ Its height is 12 units

∴ The length of the minor axis is = 12

∴ 2b = 12 ⇒ divide both sides by 2

∴ b = 12/2 = 6 ⇒ ∴ b² = 36

- Lets write the equation in standard form

∵ The equation is x²/a² + y²/b² = 1

∴ x²/(361/4) + y²/36 = 1 ⇒ simplify it

∴ 4x²/361 + y²/36 = 1

* The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

7 0
3 years ago
If there are 25 students in a class - 11 are guys and 14 are girls what is the probability that one of the students on the class
levacccp [35]

Answer:

0.44

Step-by-step explanation:

11/25 = 0.44 = 44%

6 0
3 years ago
Read 2 more answers
Canceling units is also called: a. changing the value c. multiplication b. unit analysis d. making connections
SOVA2 [1]

Canceling units is also called unit analysis.

This is also called dimensional analysis.

What is a unit of analysis in statistics?

  • The unit of analysis is the entity that you're analyzing. It's called this because it's your analysis (what you want to examine) that determines what this unit is, rather than the data itself.
  • Because it is the analysis you do in your study that determines what the unit is.
  • For instance, if you are comparing the children in two classrooms on achievement test scores, the unit is the individual child because you have a score for each child.

For example -

1 ft = 12 in

3 ft =  3 ft * \frac{12 in }{1 ft}

3 ft = ( 3 * 12 )  in ⇒ 36 in

Learn more about  unit analysis

brainly.com/question/15579410

#SPJ4

3 0
2 years ago
Pls help me if u can
mario62 [17]

Answer:

523.33 cm³

Step-by-step explanation:

Formula of volume of sphere

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

The volume of the sphere

=  \frac{4}{3}  \times 3.14 \times  {5}^{3}

= \frac{1570}{3}

= 523.3333333...

= 523.33 cm³ (rounded to the nearest hundredth)

4 0
2 years ago
Do the questions that are circled also GCF stands for greatest common factor
Marizza181 [45]
I’m not sure how your class works, but usually if they are circled it means you only have to do the circled ones. GCF always stands for greatest common factor
6 0
2 years ago
Read 2 more answers
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