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S_A_V [24]
3 years ago
5

What is the constant of proportionality for m=32•g

Mathematics
1 answer:
lina2011 [118]3 years ago
6 0

Answer:

∴ Constant of Proportionality is 32

Step-by-step explanation:

Here Given;

m=32\times g  (equation-1)

\frac{m}{g}=32  (equation-2) (divide with 'g' on both side)

We know,

The Constant of Proportionality equation is given;

y=k\times x  (equation-3)

Where 'k' is known as Constant of Proportionality.

Comparing equation-1 and equation-3;

y=m and x=g

Now equation-2 become;

k=\frac{y}{x}

Plug y=m and x=g in above equation;

\frac{m}{g}=k  (equation-4)

By comparing equation-2 and equation-4;

k=32

So Constant of Proportionality is 32

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In downtown Charlotte, building inspectors must regulate the height of buildings. From the top of the BB&T building which is
Morgarella [4.7K]

Answer:

296.89 m

Step-by-step explanation:

assuming that both the buildings are on level ground (i.e their bases are at the same elevation), see attached.

5 0
3 years ago
5/8 + 3/4 -2/3 - 5\6​
Iteru [2.4K]

Answer:

5/8+3/4-2/3-5/6

= ( 5/8 + 3/4 ) - ( 2/3 + 3/4)

= ( 11/8) - (17 /12)

= 11/8 - 17/12

= 33-34 /24

= -1/24 (ans)

Hope it helps

5 0
3 years ago
Which series of transformations will not map figure H onto itself
7nadin3 [17]

Answer:

D

Step-by-step explanation:

Given a square with vertices at points (2,1), (1,2), (2,3) and (3,2).

Consider option A.

1st transformation (x+0,y-2) will map vertices of the square into points

  • (2,1)\rightarrow (2,-1);
  • (1,2)\rightarrow (1,0);
  • (2,3)\rightarrow (2,1);
  • (3,2)\rightarrow (3,0).

2nd transformation = reflection over y = 1 has the rule (x,2-y). So,

  • (2,-1)\rightarrow (2,3);
  • (1,0)\rightarrow (1,2);
  • (2,1)\rightarrow (2,1);
  • (3,0)\rightarrow (3,2)

These points are exactly the vertices of the initial square.

Consider option B.

1st transformation (x+2,y-0) will map vertices of the square into points

  • (2,1)\rightarrow (4,1);
  • (1,2)\rightarrow (3,2);
  • (2,3)\rightarrow (4,3);
  • (3,2)\rightarrow (5,2).

2nd transformation = reflection over x = 3 has the rule (6-x,y). So,

  • (4,1)\rightarrow (2,1);
  • (3,2)\rightarrow (3,2);
  • (4,3)\rightarrow (2,3);
  • (5,2)\rightarrow (1,2)

These points are exactly the vertices of the initial square.

Consider option C.

1st transformation (x+3,y+3) will map vertices of the square into points

  • (2,1)\rightarrow (5,4);
  • (1,2)\rightarrow (4,5);
  • (2,3)\rightarrow (5,6);
  • (3,2)\rightarrow (6,5).

2nd transformation = reflection over y = -x + 7 will map vertices into points

  • (5,4)\rightarrow (3,2);
  • (4,5)\rightarrow (2,3);
  • (5,6)\rightarrow (1,2);
  • (6,5)\rightarrow (2,1)

These points are exactly the vertices of the initial square.

Consider option D.

1st transformation (x-3,y-3) will map vertices of the square into points

  • (2,1)\rightarrow (-1,-2);
  • (1,2)\rightarrow (-2,-1);
  • (2,3)\rightarrow (-1,0);
  • (3,2)\rightarrow (0,-1).

2nd transformation = reflection over y = -x + 2 will map vertices into points

  • (-1,-2)\rightarrow (4,3);
  • (-2,-1)\rightarrow (3,4);
  • (-1,0)\rightarrow (2,3);
  • (0,-1)\rightarrow (3,2)

These points are not the vertices of the initial square.

5 0
3 years ago
please help :( please help :( please help :( please help :( please help :( please help :( please help :( please help :(​
yanalaym [24]

Answer:

64 for number 1.  Not sure on number 2 sorry.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A theater can hold 120 giants or 144 elves. If 90 giants are already inside, how many elves can also be admitted?
navik [9.2K]

Answer:

36

Step-by-step explanation:

make proportion giants to elves

120/144 = 90/x cross multiply

120x =144*90

120x =12960 divide by 120

x = 108

so if there are 90 giants in the theater there are  108 elves also

considering that total 144 elves can be  in the theater subtract 144 and 108 so 36 more elves can be admitted

3 0
3 years ago
Read 2 more answers
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