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Bogdan [553]
2 years ago
5

Find the scale of each map.

Mathematics
1 answer:
AnnZ [28]2 years ago
8 0

The scale of the first map is 1cm : 40 km

The scale of the second map is 1 cm : 1.25 km

The scale  of the third map is 1 cm : 12.50 km

A scale drawing is a smaller image of an original image. The map is a scale drawing.

Scale of the drawing = original dimensions / dimensions of the scale drawing

Scale of the first map : 120 / 3 = 40

The scale is 1cm : 40 km

Scale of the second map : 4 / 3.2 = 1.25

The scale is 1 cm : 1.25 km

Scale of the third map: 50 / 4 = 12.5

The scale  is 1 cm : 12.50 km

To learn more about scale drawings, please check: brainly.com/question/980463?referrer=searchResults

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Determine if the two triangles are congruent if they are state how do you know SSS,SAS,HL,ASA, OR AAS. Be sure to include any ex
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2 years ago
PLEASE HELP 4. The Buff City Soaps in Arlington is counting how many soaps and bath bombs they sell in a given day. In total, th
Vedmedyk [2.9K]

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8 0
2 years ago
Please help! i dont understand
kvv77 [185]

QUESTION 1

The given inequality is  

y\leq x-3 and y\geq -x-2.

If (3,-2) is a solution; then it must satisfy both inequalities.

We put x=3 and y=-2 in to both inequalities.

-2\leq 3-3 and -2\geq -3-2.

-2\leq 0:True and -2\geq -5:True

Both inequalities are satisfied, hence (3,-2) is a solution to the given system of inequality.

QUESTION 2

The given inequality is  

y\:>\:-3x+3 and y\:>\: x+2.

If (1,4) is a solution; then it must satisfy both inequalities.

We put x=1 and y=4 in to both inequalities.

4\:>\:-3(1)+3 and 4\:>\: 1+2.

4\:>\:0:True and 4\:>\: 3:True

Both inequalities are satisfied, hence (1,4) is a solution to the given system of inequality.

Ans: True

QUESTION 3

The given inequality is  

y\leq 3x-6 and y\:>\: -4x+2.

If (0,-2) is a solution; then it must satisfy both inequalities.

We put x=0 and y=-2 in to both inequalities.

-2\leq 3(0)-6 and -2\:>\: -4(0)+2.

-2\leq -6:False and -2\:>\:2:False

Both inequalities are not satisfied, hence (0,-2) is a solution to the given system of inequality.

Ans:False

QUESTION 4

The given inequality is  

2x-y\: and x+y\:>\:-1.

If (0,3) is a solution; then it must satisfy both inequalities.

We put x=0 and y=3 in to both inequalities.

2(0)-3\: and 0+3\:>\:-1.

-3\::True and 3\:>\:-1: True

Both inequalities are satisfied, hence (0,3) is a solution to the given system of inequality.

Ans:True

QUESTION 5

The given system of inequality is  

y\:>\:2x-3 and y\:.

If (-3,0) is a solution; then it must satisfy both inequalities.

We put x=-3 and y=0 in to both inequalities.

0\:>\:2(-3)-3 and 0\:.

0\:>\:-9;True and 0\::True

Both inequalities are satisfied, hence (-3,0) is a solution to the given system of inequality.

Ans:True

3 0
2 years ago
Only answer 28 ( I added this parentheses so that the thing would accept my question)
avanturin [10]

Answer:

(a). Number of protons in a chlorine atom = 17

(b). Atomic number of sodium = 11

Step-by-step explanation:

Let the number of protons in a sodium atom = <em>x</em>

Then, the number of protons in a chlorine atom =<em> x</em> + 6

Now, it is given that the atomic number of an element is equal to the number of protons per atom.

So, atomic number of sodium (Na) = <em>x</em>

Atomic number of chlorine (Cl) = <em>x</em> + 6

It is given that the atomic number of chlorine is 5 less than twice the atomic number of sodium.

∴ atomic number of chlorine (Cl) = 2 × atomic number of sodium (Na) - 5

⇒ <em>x</em> + 6 = 2<em>x</em> - 5

⇒ <em>x </em>- 2<em>x</em> = -5 - 6

⇒ -<em>x</em> = -11

Cancelling the minus sign from both sides, we get

<em>x</em> = 11

(a). Number of protons in a chlorine atom = <em>x</em> + 6

                                                                     = 11 + 6      (∵ <em>x</em> = 11)

                                                                     = 17

(b). Atomic number of sodium = <em>x</em> = 11

3 0
3 years ago
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