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3 years ago

Is a number 36 a perfect square and why

Mathematics

1 answer:

Andru [333]3 years ago

4 0

Answer:

Yes it is.

Step-by-step explanation:

This is because a perfect square is the product that is given when the multiplier is multiplied by itself

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If the given values in a right triangle are cos A =

Vlad1618 [11]

See the picture attached to better understand the problem

we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1

applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2

substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2

the answer is
the hypotenuse is (3√2)/2

5 0

3 years ago

Printer A can print 30 pages per minute. Printer B can print 40 pages per minute. Printer B begins printing 3 minutes after Prin

anzhelika [568]

Printer A prints for 10 minutes, so prints

... (30 pages/minute)×(10 minutes) = 300 pages

Printer B prints for 7 minutes, so prints

... (40 pages/minute)×(7 minutes) = 280 pages

At the end of 10 minutes, the two printers will have printed

... 300 pages + 280 pages = 580 pages

8 0

3 years ago

$7000 is compounded semiannually at a rate of 11% for 21years Find the total amount and round to the nearest cent

photoshop1234 [79]

$\text{Given that }\$7000 \text{ is compounded semiannualy at a rate of }11\% \text{ for 21 years}\\
\\
\text{we know that the amount after t year when compounded is given by}\\
\\
A=P\left ( 1+\frac{r}{n} \right )^{nt}\\
\\
\text{here P is the principal amoount, so }P=7000,\\
\\
\text{r is the interest rate, }r=11\%=0.11\\
\\
\text{n is the number of times in a year, here semiannulay, so }n=2,\\
\\
\text{and t is the time, so }t=21\\
\\
\text{so the amount after 21 years is}$

$A=7000\left ( 1+\frac{0.11}{2} \right )^{2(21)}\\
\\
\Rightarrow A=7000\left ( 1+0.055 \right )^{42}\\
\\
\Rightarrow A=7000\left ( 1.055 \right )^{42}\\
\\
\Rightarrow A\approx 66328.68$

So the amount after 21 years is: $66328.68

7 0

3 years ago

What is the simplest form of 8/18 of a fraction?

Ilia_Sergeevich [38]

Answer:

As a fraction? If so, it would be 4/9.

Step-by-step explanation:

To find this answer, you must know that 8 and 18 can both be divided by 2. Which would be 4 and 9. Therefor, you have your answer: 4/9

5 0

2 years ago

Read 2 more answers

Please this urgent! I need your help in these questions, it would be very appreciated.

Paraphin [41]

Answer:

3 is continous. 4 is discrete

Step-by-step explanation:

3 houses 2 terms, therefore continuing it. 4 houses 1, stopping the graph.

I might be dumb

3 0

2 years ago

Is a number 36 a perfect square and why​

Is a number 36 a perfect square and why