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3 years ago

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On the blueprint of a house 27 millimeters represents 6 meters. The actual length of the living room is 9 meters. What is its le

ngth on the blueprint

1 answer:

worty [1.4K]3 years ago

7 0

Answer: if 28 is 6 meters, 14 is 3 meters. 14 times 3 is 42

Step-by-step explanation: WAIT I WAS THINKING WRONG DONT LISTEN TO ME!

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Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1

nikdorinn [45]

Answer:

<em>Area of polygon D = 10 square units</em>

Step-by-step explanation:

<u>Given:</u>

Polygon <em>C </em>has an area of 40 square units.

It is scaled with a scale factor of $\frac{1}2$ to form a new polygon D.

<u></u>

<u>To find:</u>

The area of polygon D = ?

<u>Solution:</u>

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

First of all, let us consider a right angled triangle with sides <em>6, 8 and 10 units.</em>

Area of a right angled triangle is given by:

$A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units$

If scaled with a factor $\frac{1}{2}$ , the sides will be 3, 4 and 5.

New area, A':

$A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A$

i.e. Area becomes one fourth.

Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = $Length \times Width$ = 8 $\times$ 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 $\times$ 5 =20 sq units

So, $\bold{A' = \frac{1}4 \times A}$

Now, we can apply the same in the given question.

$\therefore$ Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ Area of polygon C

Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ 40 = <em>10 sq units</em>

4 0

3 years ago

Why are the solutions to the proportions 40/8 = x/10 and x/40 = 10/8 the same?

romanna [79]

Answer:

Both proportions are equivalent.

Step-by-step explanation:

We have been given two proportions $\frac{40}{8}=\frac{x}{10}$ and $\frac{x}{40}=\frac{10}{8}$ . We are asked to find why the solutions to our given proportions are equal.

We can solve proportions by cross multiplying them.

After cross multiplying our both proportions we will get same equation that is:

$40*10=8*x$

$400=8x$

$8*x=40*10$

$8x=400$

Since we get same equation after cross multiplying both proportions, therefore, the solutions to the given proportions would be same.

4 0

3 years ago

Read 2 more answers

What is the solution set of 4x^2-36= 0?<br><br> (-3)<br> (3)<br> (-3,3)

ololo11 [35]

Answer:

(-3, 3).

Step-by-step explanation:

4x^2-36= 0

4x^2 = 36 Taking square roots of both sides:

2x = +/- 6

x = +/- 3.

6 0

3 years ago

Read 2 more answers

Caleb went to the grocery store to purchase hamburger meat and hamburger buns for an upcoming barbecue with his friends. At the

Eva8 [605]

About $0.75 per person.

First, let’s find the cost for each portion of hamburger meat and the cost for each bun.

We can do this for the meat by doing 1.49/4 to get 0.3725.

Now we can do the same with the buns by doing 2.99/8 to get 0.37375.

Now just add these together. 0.3725+0.37375 is 0.74625, which can be rounded to $0.75.

The cost per person is approximately $0.75.

Please consider marking this answer as Brainliest to help me advance.

6 0

4 years ago

Read 2 more answers

A ball is thrown straight up from the top of a tower that is 280 ft high with an initial velocity of 48 ft/s. The height of the

attashe74 [19]

ATTACHED is the written out response.

let me know if you need anymore help

brainliest is always appreciated

7 0

3 years ago