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uranmaximum [27]
2 years ago
6

A rectangle has an area of 20 square feet a similar rectangle has an area of 180 square feet what is ratio of the areas of these

similar rectangles
Mathematics
1 answer:
Evgen [1.6K]2 years ago
7 0

Answer:

The ratio of the areas of the smaller rectangle to the larger rectangle is  \frac{1}{9}

Step-by-step explanation:

we know that

if two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> the area of the smaller rectangle

y----> the area of the larger rectangle

so

z^{2}=\frac{x}{y}

substitute the values

z^{2}=\frac{20}{180}

simplify

z^{2}=\frac{1}{9}

That means, the area of the larger rectangle is 9 times the area of the smaller rectangle

z=\frac{1}{3} ------> the scale factor

That means, the dimensions of the larger rectangle is 3 times the dimensions of the smaller rectangle

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A 25% tip was paid on a 30$ meal what is the amount of the tip?
Kaylis [27]

Answer:

$7.50

Step-by-step explanation:

25% of $30 is $7.50

3 0
2 years ago
Read 2 more answers
The sum of a number and two is equal to eight
Virty [35]

Answer:

I'm pretty sure if you subtract 2 from eight you will find the answer of 6 i'm not sure if that question was implying this answer but I hope this helps

Step-by-step explanation:

5 0
3 years ago
10. Multi-Step Mrs. Sullivan calculates that she
snow_tiger [21]

Answer:

Amount of paint to be bought = 10 gallons

Step-by-step explanation:

Amount of paint needed by Mrs. Sullivan to paint her house = 12 gallons

She is already having paint = 8 quarts

Since, 1 quart = 0.25 gallons

Therefore, 8 quarts = 8 × 0.25

                                 = 2 gallons

So, amount of paint she is already having = 2 gallons

Amount of paint to be bought = 12 - 2

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8 0
2 years ago
15% tip to 100 cents why does this make a unit less factor?
evablogger [386]
15% and the corresponding 0.15 is by necessity unit-less; it's just a multiplier.  If you run up a $1 bill and wish to tip 15%, multiply $1 by 0.15, obtaining $0.15.
Then the total due would be $1 plus $0.15, or $1.15.

Note that $0.15
                -------- = 0.15 is unit-less
                   $1
4 0
3 years ago
A company's stock begins the week with a price of $43.85 per share. THe price changes by +$2.70 each day for the first two days,
mixas84 [53]

Given:

Initial price of the stock=$43.85

Change for the first two days=+$2.70

Change for next two days=-$1.10

Last day=-$4.45

The objective is to find the price at the last day.

Let's take the price at final day as <em>x</em>.

\begin{gathered} x=43.85+2.70+2.70-1.10-1.10-4.45 \\ x=42.6 \end{gathered}

Hence, the price of the stock at the last day is $42.6

5 0
1 year ago
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