All categories

4 years ago

The scale factor for a model is 5cm= m model: 9.5cm actual : 30.5m

Mathematics

1 answer:

MaRussiya [10]4 years ago

6 0

We are given dimensions of model and actual figure.

model: 9.5cm actual : 30.5m.

We need to find the length of actual shape for the scale factor 5cm.

Let us assume actual length be x m.

Let us set a proportion now.

Let us convert proportion into fractions.

$\frac{5}{x}=\frac{9.5}{30.5}$

On cross multiplying, we get

9.5x = 5× 30.5

9.5x = 152.5.

On dividing both sides by 9.5, we get

$\frac{9.5x}{9.5}=\frac{152.5}{9.5}$

x=16.05.

<h3>Therefore, the scale factor for a model is 5cm= 16.05 m.</h3>

You might be interested in

How many terms are in this expression? 5x+11

Alexxandr [17]

Answer:

Step-by-step explanation:

5x is one term

+11 is another term

5 0

2 years ago

Read 2 more answers

Helppppppppp, pleaseeeee

Akimi4 [234]

Answer:

∠A+∠B+∠C =180°

∠A+∠C +90°=180°

∠A+∠C=90°

7 0

3 years ago

Even more Algebra because why not<br> [last ones for today]

Fudgin [204]

You can use this website called

MathPapa.com

8 0

4 years ago

48 is what percent of 80

Gnesinka [82]

Answer:

48 is 60% of 80

Step-by-step explanation:

set it up as an equation

(100) 48 = $\frac{x}{100}$ × 80 (100)

4800 = 80x (divide both sides by 80)

x=60

meaning that 48 is 60% of 80

6 0

3 years ago

Read 2 more answers

Bryan needs to build a fence around his rectangular vegetable garden. The length will be 2 feet longer than the width. If he use

GalinKa [24]

In order to do this, one side of the rectangle will be x+2, and the other will just be x. The x would be representing the width since the length is the width (x) plus two feet (+2). Next, you have to make an equation. So, since it all has to use 16 feet of fencing, you would set the two sides to be added to equal 16. So, it would be: 16=x+2+x. Then, you reduce that, so it would be: 16=2x+2. After that you just solve for x (which means that you want x by itself on one side of the = ). So, you would subtract 2 from both sides. Since 2-2=0, that would make the "+2" go away; since 16-2=14, that would replace the 16. So, your new equation is: 14=2x. After that you just divide both sides by 2 because 2 divided by 2=0. 14/2=7. So, you would end up getting: 7=x as your final answer.

Now, you just put 7 where x was in the sides. So 2x (which was the length) trims into: 2 times 7, which =14 and the x (which was the width) we already figured out was 7. This, the width would be 7, while the length would be 14.

5 0

3 years ago