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fiasKO [112]
3 years ago
15

Two similiar rectangles have corresponding sides in the ratio 10:3. What is the ratio of their areas

Mathematics
1 answer:
lianna [129]3 years ago
7 0

Answer:

Step-by-step explanation:

The ratio of its areas is equal to

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

In this problem the scale factor is equal to the ratio 10:3

Let

z-------> the scale factor

so

z2=(10/3)2=100/9

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What is the circumference of a circle with a diameter of 62 centimeters?
devlian [24]

Answer:

The Answer is 62π or 194.77874452256718078468388976333.

Step-by-step explanation: To find the circumference of a circle, you need to multiply the diameter by π. The equation is 2πr.

4 0
2 years ago
Jazmyn is baking and selling cupcakes for $15 per dozen. She would like to make more than $120 in cupcake sales. Which number li
baherus [9]

Answer:

> 8

Kindly find number line in attacked picture

Step-by-step explanation:

Price of cupcake per dozen = $15

Projected amount of sales > $120

In other to make such amount in sale, we need to obtain the number of dozens of cupcake :

Project amount of sales / price per dozen

> $120 / $15

> 8 dozens

4 0
2 years ago
Peter ran 15 miles without stopping during the marathon. Anne ran the distance that Peter ran before she stopped.    How far did
Anika [276]
The Answer Should be C
8 0
3 years ago
Which number produces an irrational number when multiplied by 1/3
MArishka [77]

We can simply observe that.

  1. 0.777... is rational, because it is a number with infinite but repeating decimal part.
  2. 1/3 is rational, because it's the division between two integers
  3. -\sqrt{16}=-4, so this is rational as well.

Since the product of two rational numbers is always rational, we have that

0.\bar{7}\cdot \dfrac{1}{3},\quad \dfrac{1}{3}\cdot \dfrac{1}{3},\quad -4\cdot \dfrac{1}{3}

are all rationals, since they are the product of two rationals.

On the other hand, we have

\sqrt{27}=\sqrt{9\cdot 3}=3\sqrt{3}

and thus

3\sqrt{3}\cdot \dfrac{1}{3}=\sqrt{3}

which is irrational.

3 0
3 years ago
The city of new orleans leaves union station in chicago at 6:00 am and travels south to new orleans. the train travels the 930.0
Naddik [55]
Answer: 460.6 miles South of Chicago

Explanation:

1) <span>The City of New Orleans leaves Union Station in Chicago at 6:00 am and travels south to New Orleans. The train travels the 930.0 miles to New Orleans at an average speed of 79.0 miles per hour.

Scheme:


 →to south                                                    ←to north
                |----------------------|---------------------|
               A          x             X      930.0 - x    B
            6:00 am                                          6:00 am
           →                                                      ←
           v = 79.0 mi/h                                     v = 81.1 mi/h


=> x = 79.0 mi/h * t

2) at the same time the City of Chicago leaves New Orleans and travels north to Nhicago. The train travels the 930.0 miles to Chicago at an average speed of 81.1 miles per hour.

930.0 - x = 81.1 mi/h * t

3) How many miles south of chicago do the two trains pass each other?

Divide the two equations:

930.0 - x         81.1*t
------------- =   ----------
      x                 79*t

t cancels out =>

930.0 - x         81.1
------------- =   --------
     x                 79.0

Solve:

81.1x = 79.0(930.0 - x)

81.1x = 79.0 * 930.0 - 79.0x

81.1x + 79.0x = 73,470

=> 160.1x = 73,470

=> x = 73,470 / 160.1

=> x = 460.6 mi

4) Answer 460.6 miles South of Chicago.
</span>
7 0
2 years ago
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