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Schach [20]
3 years ago
6

Is the product of 2 perfect squares always a perfect square?

Mathematics
1 answer:
nexus9112 [7]3 years ago
3 0
<span> The product of two perfect squares is a perfect square.

Proof of Existence:
Suppose a = 2^2 , b = 3^2 [ We have to show that the product of a and b is a perfect square.] then
c^2 = (a^2) (b^2)
= (2^2) (3^2)
= (4)9
= 36
and 36 is a perfect square of 6. This is to be shown and this completes the proof</span>
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A rectangular pool is 30 1/3 feet long and 12 1/2 feet wide. What is the area of the pool?
butalik [34]
About 379.1666666666666
The 6 is repeating. Or about 379 if your rounding.
4 0
3 years ago
Fabric is sold by the yard and many fabrics are 48" wide (4feet). Designers calculate the square feet needed for a garment in or
Natali5045456 [20]

Answer:

How many yards of material does the designer need for the 6 skirts? = 12

How much will ALL the fabric cost? = $150.84

What is the cost of the fabric of ONE skirt? = $12.57

Step-by-step explanation:

How many yards of material does the designer need for the 6 skirts?

First, it says that the yard is 48" wide aka 4 feet. But since it's asking for a total of 6 skirts, you multiply the yard by the number of skirts. Let's try to multiply 48 with 6.

  48

<u>x   6</u>

288

So it will be 288 yards of material but we need to multiply 4 with 6.

  4

<u>x 6</u>

24

So as you can see, 24 is 12 times as many as 288.

If you multiply 24 with 12, you will get the result of 288.

So the answer is 12 yards of material.

-----------------------------------------------------------------------------------------------------------------

How much will ALL the fabric cost?

First, it says that the cost of the fabric is $12.57 per yard.

So, since we got our answer as 12 for our first question, we gotta multiply $12.57 with 12.

    12.57

<u>x        12</u>

 150.84

So the answer is $150.84.

-----------------------------------------------------------------------------------------------------------------

What is the cost of the fabric for ONE skirt?

First, again we check that it's $12.57 per yard.

So, if it's for only one skirt, it will be $12.57.

It says that the fabric cost $12.57 and for one skirt.

-----------------------------------------------------------------------------------------------------------------

Hope this helped! I tried to help though. I didn't read the whole thing but I tried to solve your 3 questions :) !

7 0
3 years ago
Read 2 more answers
What is the positive solution of x square minus 36 equals 5x
777dan777 [17]
Answer:

<span>⇒x=9</span> (positive solution)

Explanation:

<span><span>x2</span>−36=5x</span>

<span>→<span>x2</span>−36−5x=0</span>

Factor the expression:

We get:

<span><span>(x−9)</span><span>(x+4)</span>=0</span>

First solution:

<span>⇒<span>(x−9)</span>=<span>0<span>x+4</span></span></span>

<span>⇒<span>(x−9)</span>=0</span>

<span>⇒x=<span>9</span></span>

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3 years ago
Consider the sets A={1,3,5,7} and B={11,13,15,21}.
katovenus [111]
Those should be odd integers if I’m wrong let Me know and I’ll fix it for you
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Convert 5.3575 miles into kilometers
evablogger [386]

8.62206048 kilometers

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3 years ago
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