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Answer:

Volume of one prism; (1/16) unit³

Step-by-step explanation:

The given volume of the cube, v₁ = 1 unit cube

The height of the unit cube, h₁ = 1 unit

The length of the unit cube, w₁ = 1 unit

The height of the unit cube, l₁ = 1 unit

The number of identical prism located along the height = 2 identical prism

The number of identical prism located along the width = 2 identical prism

The number of identical prisms located along the length = 4 identical prism

Therefore;

The height of each identical rectangular prism that make up the unit cube, h₂ = h₁/2 = 1/2 unit

Similarly, for each identical rectangular prism, we have;

The width, w₂ = w₁/2 = 1/2 unit

The length, l₂ = l₁/4 = 1/4 unit

The volume of each one of the identical rectangular prism, v₂ = h₂ × w₂ × l₂

∴ v₂ = 1/2 unit × 1/2 unit × 1/4 unit = 1/16 unit³

The volume of one of the identical rectangular prisms = (1/16) unit³.

Today : Monday, 03rd May 2021

07.41 PM

Answer:

5³

Step-by-step explanation:

[tex] \tt \orange{\frac{5^{6} }{ {5}^{3} } }[/tex]

[tex] \green {= \tt {5}^{6 - 3} }[/tex]

[tex] \blue{ \tt = {5}^{3} }[/tex]

[tex]\pink{ \boxed{ \tt study \: with: {\pink{ \boxed{{\tt \colorbox {pink}{✿ \:aulia \: ✿}}}}}}}[/tex]

Answer:

sociable I think........

Answer:

Pleaseee post the question clearly

Answer:

Part A

The bearing of the point 'R' from 'S' is 225°

Part B

The bearing from R to Q is approximately 293.2°

Step-by-step explanation:

The location of the point 'Q' = 35 km due East of P

The location of the point 'S' = 15 km due West of P

The location of the 'R' = 15 km due south of 'P'

Part A

To work out the distance from 'R' to 'S', we note that the points 'R', 'S', and 'P' form a right triangle, therefore, given that the legs RP and SP are at right angles (point 'S' is due west and point 'R' is due south), we have that the side RS is the hypotenuse side and ∠RPS = 90° and given that [tex]\overline{RP}[/tex] = [tex]\overline{SP}[/tex], the right triangle ΔRPS is an isosceles right triangle

∴ ∠PRS = ∠PSR = 45°

The bearing of the point 'R' from 'S' measured from the north of 'R' = 180° + 45° = 225°

Part B

∠PRQ = arctan(35/15) ≈ 66.8°

Therefore the bearing  from R to Q = 270 + 90 - 66.8 ≈ 293.2°

Explanation:

This can be proven by dividing the parallelogram into two triangles, and then proving the triangles congruent (use ASA). Once you know the triangles are congruent, then the corresponding pieces must be congruent as well. The corresponding pieces being the same length tells us that the opposite sides of a parallelogram are always congruent.

Answer Step-by-step explanation:

Word (story) problems are easy if you use a table to translate the words to precise, concise math variables and operations.  For example,

      Is means                =

    Larger than                                   +

     Four times a                           4*a

    F is 550 less than S                F = S – 550

      Total of A, B, C                       A + B + C  

This seems obvious – until you get stuck on a word problem.  So,

 “the first company” ,  “a second company”      becomes       Let their costs be F and S

                                                                                                 Let K be the number of kilograms

  “$20 to ship a medium box, plus an additional $2 per kilogram”           F =  $20 + 2*K

   “10 for the same size of box, plus an additional $3 per kilogram”           S  =  $10 + 3*K

  “the two shipping methods will cost the same amount”                               F = S

 “What is that weight?”                                                                             report K

Now, the math:

        F        =        S

  20 + 2K   =   10 + 3K

     $10  =  K

Answer:

160

Step-by-step explanation:

How many 3/16 are in 30.

30 ÷ 3/16

160

Answer:

true

Step-by-step explanation:

v=cm 3/m/3 /litres

area into boundary is volume

Answer:

what is the question ?

........................

Answer:

26.5

Step-by-step explanation:

Complimentary angles are 90 degrees

90-63.5=26.5

Answer:

5 1/2 blocks

Step-by-step explanation:

Jacob is painting wooden blocks. He has 11\12 of a quart of paint. Each block needs 1\6 of a quart of paint. How many blocks can he paint?

From the above question:

1/6 quart of paint = 1 block

11/12 quart of paint = x

Cross Multiple

1/6 x = 11/12 × 1

x = 11/12 ÷ 1/6

x = 11/12 × 6

x = 11/2 blocks

x = 5 1/2 blocks

Therefore, Jacob can paint 5 1/2 blocks

Answer:

A. Parallelogram LMNP

B. 33

C. 98°

Step-by-step explanation:

LMNP is a parallelogram.

Adjacent angles of a parallelogram are Supplementary.

[tex] \therefore 82\degree +(3x - 1)\degree =180\degree [/tex]

[tex] \therefore (3x - 1+82)\degree =180\degree [/tex]

[tex] \therefore (3x +81)\degree =180\degree [/tex]

[tex] \therefore 3x +81 =180 [/tex]

[tex] \therefore 3x =180-81 [/tex]

[tex] \therefore 3x =99 [/tex]

[tex] \therefore x =\frac{99}{3} [/tex]

[tex] \therefore x =33 [/tex]

[tex] \implies m\angle N= (3x - 1)\degree=(3*33 - 1)\degree=(99-1)\degree = 98\degree [/tex]

[tex] \because m\angle L =m\angle N[/tex]

(Opposite angles of a parallelogram)

[tex] \therefore m\angle L =98\degree [/tex]

Answer:

1 no the quadilateral is parallelogram

2 no .82+82+3x-1+3x-1=360

162+6x=360

6x=198

x=198/6

x=33

3 no angle L =3x-1(opposite angles of a parallelogram are equal)

3*33-1

99-1

98

Step-by-step explanation:

Answer:

x = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

- 9x + 3 = 3x + 9 ( subtract 3x from both sides )

- 12x + 3 = 9 ( subtract 3 from both sides )

- 12x = 6 ( divide both sides by - 12 )

x = [tex]\frac{6}{-12}[/tex] = - [tex]\frac{1}{2}[/tex]

Answer:

a.

radius [r]=breadth[b]=4in

length [l]=7in

now

[C]area 1/4 th circle +area of 1/4th circle= semi circle =1/2×πr²h=1/2×π×4²=8πin²=25.13in²

area of rectangle [A]=l×b=7×4=28in²

total area =A+C=28in²+25.13in²=53.13in²

Step-by-step explanation:

b.

height [h] of triangle =12-4=8cm

base[b] of triangle= 12-3.5-3.5=5cm

area of triangle [A]=1/2×b×h=½×8×5=20cm²

again

length of square [L]=12cm

area of square [S]=L²=12²=144cm²

Area of shaded region=S-A=144-20=124cm²

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

add up the total people in the survey

7 + 33 + 56 + 42 + 12 = 150

divide 12 by 150 = .08   or 8%

now multiply .08 * 100,000 = 8,000

so B looks like a good answer

Answer:

36.625

Step-by-step explanation:

5*5 = 25

25 + 8 = 33

33 - 11 = 22

22 + 12 = 34

84/32 = 2.625

34 + 2.625 = 36.625

36.625

Have a nice day!

Answer:

36.625 or 293/8

Answer:

20

Step-by-step explanation:

Answer:

124

Step-by-step explanation:

Answer:

124

Step-by-step explanation:

2+(4)(32)−7+1

=2+128−7+1

=130−7+1

=123+1

=124

Answer: X = 3

Step-by-step explanation:

5x - 2 = 3x + 4

5x = 3x + 6 (+2 to both sides)

2x = 6

x = 3

Answer:

Step-by-step explanation:so what’s the answer????

Answer:

C

Step-by-step explanation:

Answer:

the answer is 9.5

Step-by-step explanation:

Answer:

500.3 cm³

Step-by-step explanation:

Find the area of base first, then multiply the height.

Area of the circular base

= π × 3.5²

= 38.48451...

= 38.5 cm² (rounded to the nearest tenth)

Volume of the circular prism

= 38.5 × 13

= 38.48451... × 13

= 500.29863...

= 500.3 cm³

Answer:

C.2:4

Step-by-step explanation:

1*2=2

3*2=6

2:6=2:4

    |

    |

    |

not true so it is C.

Answer:

[tex]V=0.09375\ mm^3[/tex]

Step-by-step explanation:

Given that,

The length of the rectangular prism = (1/2) mm

Width = (1/4) mm

Height = (3/4) mm

We need to find the volume of the prism. We know that the formula for the volume of a rectangular prism is given by :

V = lbh

Put all the values,

[tex]V=\dfrac{1}{2}\times \dfrac{1}{4}\times \dfrac{3}{4}\\\\V=0.09375\ mm^3[/tex]

So, the volume of the prism is equal to [tex]0.09375\ mm^3[/tex].

Answer:

nice laptop

Step-by-step explanation:

Second one is correct, The value of -a - c is positive

See, from the number line a = -6 and c = 2

Now, -a - c

= -(-6) -(2)

= +6 - 2 = 4

Which is true...

Answer:

[tex]9\pi -18[/tex]

Step-by-step explanation: