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Alex787 [66]
3 years ago
7

find the perimeter and diagonal of a square whose area is equal to the area of a rectangle whose length is 9m and breadth is 4m

Mathematics
1 answer:
aalyn [17]3 years ago
4 0
Area\ of\ a\ rectangle:A_{\fbox{ }}=9m\times4m=36m^2\\\\a-side\ of\ a\ square\\\\Area\ of\ a\ square:A_{\fbox{}}=a^2\\\\A_{\fbox{ }}=A_{\fbox{}}\Rightarrow a^2=36m^2\Rightarrow a=\sqrt{36m^2}\Rightarrow a=6m\\\\Perimeter\ of\ the\ square:P=4a\Rightarrow P=4\times6m=\boxed{24m}\\\\Diagonal\ of\ the\ square:d=a\sqrt2\Rightarrow d=\boxed{6\sqrt2\ m}
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(3x^4y^5) ^ 3/7 in radical form
kobusy [5.1K]

The expression in radical form is (\sqrt[7]{3x^4y^5}) ^3

In order to express the given indices expression in radical form, we need to ensure there is a square root present in the resulting expression.

According to the law of indices,

a^{m/n} = \sqrt[n]{m}

Given the indices (3x^4y^5) ^ {3/7}

Comparing with the general formula, we will see that:

m = 3

n = 7

a = 3x^4y^5

Applying the law of indices:

(3x^4y^5) ^ {3/7} = (\sqrt[7]{3x^4y^5}) ^3

Hence the expression in radical form is (\sqrt[7]{3x^4y^5}) ^3

Learn more here: brainly.com/question/6755932

3 0
2 years ago
Which inequality represents the situation? My dogs weight is greater than 80 pounds.
Nata [24]

Answer:Dog's weight> 80 pounds

Step-by-step explanation:Dog's weight is greater than 80 pounds

8 0
3 years ago
How many quarter inches long is 7 3/4
Amiraneli [1.4K]
There are 4 quarterly inches in 1 inch so 4 x7=28 + 3 quarter in 3/4 so 31 quarter inches in all.
7 0
3 years ago
A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were defective. A store clerk
aalyn [17]

Answer:

A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were defective. A store clerk generates random numbers to simulate a random sample of this shipment. The clerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through 5,000 represent working MP3 players. The results are given.

948 628 87 4,987 938 468 3,589 298 2,459 2,286

Based on this sample, how many of the MP3 players might the clerk predict would be defective?

The manager would expect

defective players in the shipment.

6 0
2 years ago
Speed = distance divided by time taken. car 1 travels 10 miles every 5 minutes. car 2 travels 30 miles every 20 minutes. what is
Setler [38]
Car 1
2 miles............................1 minute
10 miles.........................5 minutes
20 miles.........................10 minutes
40 miles..........................20 minutes
car2
1.5 miles...........................1 minute
15miles.............................10 minutes
30 miles...........................20 minutes
the difference is 0.5 miles per minute

0.5*60=30 miles/hour
5 0
3 years ago
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