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amid [387]
2 years ago
9

The diagram shows a scale drawing of a playground. In the scale drawing the playground has a length of 16 cm and a width of 8 cm

. The area of the actual playground is 72 square meters what is the scale of the drawing?
Mathematics
1 answer:
kicyunya [14]2 years ago
8 0

Answer:

3 m : 4 cm, 3 m/4 cm, 3 m to 4 cm

Step-by-step explanation:

The actual playground will have an area of 72 m², and have one side be double the other, because the scale drawing does so too.

We can make a system of equations: l * w = 72, l = 2w

Substitute: 2w * w = 72

Simplify: 2 * w² = 72

Divide: w² = 36

Square root: <em>w = 6 m</em> (no negatives due to distances always > 0)

Substitute: l = 2 * 6 m

Simplify: <em>l = 12 m</em>

This means that the relations of one side is <em>6 m : 8 cm</em>. That can be simplified to 3 m : 4 cm.

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On your first day as an apprentice at the oil refinery, you are asked to create usable graphs and tables for the other workers w
Naya [18.7K]

Answer:

89,250 gallons per hour

Step-by-step explanation:

4 0
2 years ago
Stabiliti daca marimile ale caror valori sunt trecute in tabelele urmatoare sunt direct proportionale.
kvv77 [185]

Vă rugăm să găsiți imaginea întrebării atașate mai jos:

Răspuns:

A este proporțională

B este proporțională

C nu este proporțional

D este proporțional

E nu este proporțională

F este proporțional

Explicație pas cu pas:

Pentru a determina proporționalitatea:

Obținem constanta proporționalității

Pentru valorile din tabelul 1;

Luând primul punct:

x = 1; y = 5

1 α 5

1 = 5k

k = 1/5

Test:

y = 15

x = k * y

x = 1/5 * 15; x = 3

Prin urmare; (a) este proporțională

B.)

x = 2; y = 6

2 α 6

2 = 6k

k = 2/6

k = 1/3

Test:

y = 15

x = k * y

x = 1/3 * 15; x = 5

Prin urmare; (b) este proporțională

C.)

x = 2; y = 6

7 α 3,5

7 = 3,5k

k = 7 / 3,5

k = 2

Test:

y = 5

x = 2 * 3.5

x = 7

Prin urmare; (c) nu este proporțională

x = 0,5; y = 1

0,5 α 1

0,5 = k

Test:

y = 4

x = k * y

x = 0,5 * 4; x = 2

Prin urmare; (d) este proporțională

x = 0,2; y = 2

0,2 α 2

0,2 = 2k

k = 0,2 / 2

k = 0,1

Test:

y = 4,5

x = 0,1 * 4,5

x = 0,45

Prin urmare; (e) nu este proporțională

x = 1; y = 12

1 α 12

1 = 12k

k = 1/12

Test:

y = 84

x = 1/12 * 84

x = 7

Prin urmare; (f) este proporțională

7 0
1 year ago
If f(1) = 0 what are all the roots of the function f(x)=x^3+3x^2-x-3 use the remainder theorem.
ArbitrLikvidat [17]

Solution:

As we are given that f(1) = 0 .

It mean that (x-1) is one of the factor of the given equation.

Remainder theorem can be applied as below:

\frac{(x^3+3x^2-x-3)}{(x-1)}=\frac{x^3-x^2+4x^2-4x+3x-3}{(x-1)}\\ \\\frac{x^3-x^2+4x^2-4x+3x-3}{(x-1)}=\frac{x^2(x-1)+4x(x-1)+3(x-1)}{(x-1)} \\\\\frac{x^2(x-1)+4x(x-1)+3(x-1)}{(x-1)}=\frac{(x^2+4x+3)(x-1)}{(x-1)}  \\\\\frac{(x^2+4x+3)(x-1)}{(x-1)} =\frac{(x^2+3x+x+3)(x-1)}{(x-1)}  \\\\\frac{(x^2+3x+x+3)(x-1)}{(x-1)}  =\frac{(x-1)(x+3)(x+1)}{(x-1)}

Hence the factors are (x-1),(x+3) and (x+1).

Hence the correct option is B.

5 0
2 years ago
Read 2 more answers
W = 3x + 7y solve for y
mario62 [17]

Answer:

The value of the equation y=\frac{W-3x}{7}.

Step-by-step explanation:

Consider the provided equation.

W = 3x + 7y

We need to solve the provided equation for y.

Subtract 3x from both side.

W-3x= 3x-3x+ 7y

W-3x=7y

Divide both sides by 7.

\frac{7y}{7}=\frac{W-3x}{7}

y=\frac{W-3x}{7}

Hence, the value of the equation is y=\frac{W-3x}{7}.

8 0
2 years ago
Harriet earns the same amount of money each day. Her gross pay at the end of 7 work days is 35h + 56 dollars. Which expression r
scoray [572]
<span>In the question "Harriet earns the same amount of money each day. Her gross pay at the end of 7 work days is 35h + 56 dollars. Which expression represents her gross pay each day" To obtain the expression that represents her gross pay each day, we divide the given expression by 7 to get (35h + 56) / 7 = 35h / 7 + 56 / 7 = 5h + 8 Therefore, the expression that represents her gross pay each day is 5h + 8.</span>
8 0
1 year ago
Read 2 more answers
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