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raketka [301]
4 years ago
15

Marci has a scale drawing of her new bedroom. On the drawing the length of the bedroom is 2cm. In real life her bedroom is going

to be 7 meters in length. What is the scale of the drawing
Mathematics
1 answer:
bogdanovich [222]4 years ago
6 0

Answer:

Scale for drawing is 1:350

Step-by-step explanation:

scale is ratio of size of drawing and size of actual object for which the drawing is made

it is represented as

scale = size of drawing : size of actual object

given

length of model in drawing = 2cm

length of bedroom in reality = 7 meter

since there are two units we meter and cm

we convert both in same unit that is cm for simpler calculation

1 meter = 100 cm

7 meter = 7*100 cm = 700cm

length of bedroom in reality = 7 meter = 700 cm

Thus,

scale for drawing = length of drawing/ actual length of bedroom

scale for drawing = 2 cm : 700cm = 1:350

Scale for drawing is 1:350

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The distance be<br> Find the distance between P and Q
Lelu [443]

9514 1404 393

Answer:

  10

Step-by-step explanation:

The distance formula is useful.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  d = √((7 -1)^2 +(12 -4)^2) = √(6^2 +8^2) = √(36 +64) = √100

  d = 10

The distance between P and Q is 10.

_____

<em>Additional comment</em>

You may recognize the run : rise ratio of 6 : 8 = 3 : 4. This suggests a 3-4-5 right triangle with a scale factor of 2. If you're familiar with that Pythagorean triple, you can write down the answer as soon as you see the rise and run numbers.

4 0
3 years ago
Select the correct answer.
Llana [10]

Answer:

\huge\boxed{x=2\ and\ y=-3}

Step-by-step explanation:

22(x+yi)+(28+4i)=72-62i\\\\22x+22yi+28+4i=72-62i\\\\(22x+28)+(22y+4)i=72-62i\Rightarrow22x+28=72\ \wedge\ 22y+4=-62\\\\22x+28=72\qquad|\text{subtract 28 from both sides}\\22x=44\qquad|\text{divide both sides by 22}\\\boxed{x=2}\\\\22y+4=-62\qquad|\text{subtract 4 from both sides}\\22y=-66\qquad|\text{divide both sides by 22}\\\boxed{y=-3}

8 0
3 years ago
ANZ Corporation manufactures a product available in two models: ABC, and PQR. Despite the growing popularity of the PQR model, c
Nina [5.8K]

Answer:

The full production costs are:

ABC = $22,900,000

PQR = $1,700,000

Step-by-step explanation:

Traditional costing method is a costing method that allocates or applies overhead based on a particular metric determined by a company. It therefore add both direct cost of production and production overheads absorbed to obtain the full cost of production.

Since production overheads in this question is absorbed on demand sales basis, the full production costs for ABC and PQR can be computed as follows:

ANZ Corporation

Computation of Full Production Costs

<u>Particulars                                      ABC                 PQR     </u>

Sales demand                            <u> 30,000 </u>            <u> 15,000</u>

Cost                                                   $                        $    

Direct cost:

Direct materials cost (w.1)        1,350,000           900,000

Direct labor cost (w.2)            <u>    900,000 </u>        <u>  600,000  </u>

Total direct cost                     22,500,000        1,500,000

Indirect cost:

Production overhead (w.3)   <u>      400,000 </u>         <u>  200,000 </u>

Full production cost           <u>  22,900,000 </u>       <u> 1,700,000 </u>

Workings:

w.1: Computation of direct material cost

Direct material cost = Direct material cost per unit * Sales demand

Therefore;

ABC Direct material cost = $45 * 30,000 = $1,350,000

PQR Direct material cost = $60 * 15,000 = $900,000

w.2: Computation of direct labor cost

Direct labor cost = Direct labor cost per unit * Sales demand

Therefore;

ABC Direct material cost = $30 * 30,000 = $900,000

PQR Direct material cost = $40 * 15,000 = $600,000

w.3: Allocation of production overhead

Production overheads allocated to a model = Production overheads * (Model's Sales Demand / Total Sales demand)

Total Sales demand = 30,000 + 15,000 = 45,000

Therefore, we have:

Production overhead allocated to ABC = $600,000 * (30,000 / 45,000) = $400,000

Production overhead allocated to PQR = $600,000 * (15,000 / 45,000) = $200,000

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