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2 years ago

performance task applying probability concepts i need the work shown w answers any help is appreciated :)

Mathematics

1 answer:

nydimaria [60]2 years ago

5 0

Where is the question?

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How many cubes with side lengths of 1/3 cm does it take to fill the prism?

user100 [1]

Answer:

The number of cubes that fill the prism is 24

Step-by-step explanation:

Given as :

The length of cube (l) = $\frac{1}{3}$ cm

The length of prism (L) = 1 cm

The width of prism (w) = 2 $\frac{2}{3}$ = $\frac{8}{3}$ cm

The height of prism (h) = $\frac{2}{3}$ cm

Let the number of cubes that fill the prism = x

Now, Volume of cube with length (l) = l³ cm³

Or, Volume of cube with length (l) = $(\frac{1}{3})^{3}$ cm³

Or, Volume of cube with length (l) = $(\frac{1}{27})$ cm³

Again , Volume of prism = $\frac{1}{2}\times Length \times width \times height$

Or, Volume of prism = $\frac{1}{2}\times 1 \times \frac{8}{3} \times \frac{2}{3}$

Or, Volume of prism = $(\frac{8}{9})$ cm³

So , The number of cubes to fill prism

The number of cubes × Volume of cube = Volume of prism

Or, x × $(\frac{1}{27})$ cm³ = $(\frac{8}{9})$ cm³

or x = $\frac{8\times 27}{9}$ = 24

Hence The number of cubes which fill the prism is 24 Answer

8 0

2 years ago

Write an equation of a line in point slope form that has a slope of -3 and passes through the point (3, -4).

Nesterboy [21]

1) Point-slope form

(y-y1)=m(x-x1)

m= - 3,

point (3,-4), so x1 = 3, y1 = - 4.

(y+4)= -3(x- 3)

2)Point-slope form

(y-y1)=m(x-x1)

m= - 3/4,

point (4,5), so x1 = 4, y1 = 5.

(y-5)= - 3/4(x-4)

6 0

3 years ago

Name the consecutive (same side) exterior angles and interior angles

konstantin123 [22]

Answer:

Consecutive Interior Angles

Consecutive interior angles equal 180 degrees and they are the ones in between(inside) the parallel lines, so that means that these angles..

∠2+∠9= 180

∠4+∠11= 180

∠6+∠13= 180

∠8+∠15= 180

Consecutive Exterior Angles

Consecutive exterior angles also equal 180 degrees, but they are on the outside of the parallel lines. They are...

∠1+∠10= 180

∠3+∠12= 180

∠5+∠14= 180

∠7+∠16= 180

3 0

2 years ago

Ms. Romero asks the student to genefractionrate an equivalent fraction. for 6/10.Gwen says 3/5 is an equivalent fraction while d

Phoenix [80]

Gwen is right 3\5 is equivalent to 6\10
if you divide 6\10 by 2 you will get 3\5

7 0

2 years ago

For which of the following graphs would it NOT make sense to connect

marshall27 [118]

Answer:

Step-by-step explanation:

the rest of the answers are the same and it is harder to compare if the lines are connected because you are most likely going to use a bar graph

6 0

3 years ago