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3 years ago

In right triangle PQR, tanP =sqrt 3/2. Find the length of the hypotenuse of triangle PQR.

Mathematics

1 answer:

Aleksandr [31]3 years ago

8 0

$\sqrt{ \sqrt{3}^2+2^2} = \sqrt{3+4} = \sqrt{7}$

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what are the factors of 47 (cuz im STUPID and i dont feel like doing this cuz im working on geogrophy)

Hitman42 [59]

Hey there! I'm happy to help!

The factors are the numbers you multiply to get 47. And they can't be fractions or numbers with fractions. They have to be integers (numbers without fractions).

So far, we see that we can multiply 1 and 47 to get 47. To see if there are any more, we see what numbers 1-10 we can divide by.

We cannot divide by 2 because 47 is odd.

We cannot divide by 3 because it gives us 15.6666...

We can't divide by 4 because 47 is odd.

We can't divide by 5 because 47 does not have a 5 or 0 in the ones place.

We can't divide by 6 because 47 is odd.

We can't divide by 7 because it gives us 6.714285....

We can't divide by 8 because 47 is odd.

We can't divide by 9 because it gives us 5.2222

And we obviously can't divide it by 10.

Therefore, the factors of 47 are 1 and 47. A number whose only factors are 1 and itself is called a prime number.

I hope that this helps! Have a wonderful day! :D

3 0

3 years ago

Read 2 more answers

The manager at Gabriela's Furniture Store is trying to figure out how much to charge for a book shelf that just arrived. The boo

Burka [1]

Answer: The manager sold the book shelf at $235.2

Step-by-step explanation:

Since we have given that

Wholesale price of the book shelf = $147.00

But Gabriela's Furniture Store marks up all furniture by 60%.

So, Mark up value is given by

$\frac{60}{100}\times 147\\\\=\frac{8820}{100}\\\\=\$88.2$

So, the new price that the manager sold the book shelf is given by

$147+88.2\\\\=\$235.2$

Hence, the manager sold the book shelf at $235.2

4 0

3 years ago

Consider z = 3StartRoot 3 EndRoot + 3i. What happens to the modulus and argument when z is raised to the 4th power?

vfiekz [6]

Answer:

Its A on edge

The modulus increases by a factor of 216, and the argument increases by StartFraction pi Over 2 EndFraction.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Problem 1: Given the following probabilities P(Ac) = 0.45, P(B) = 0.34, and P(B|A) = 0.23. Find the following probabilities:

-BARSIC- [3]

Answer:

P(A)=0.55

P(A and B)=P(A∩B)=0.1265

P(A or B)=P(A∪B)=0.7635

P(A|B)=0.3721

Step-by-step explanation:

P(A')=0.45

P(A)=1-0.45=0.55

P(B∩A)=?

P(B|A)=0.23

P(B|A)=(P(A∩B))/P(A)

0.23=(P(A∩B))/0.55

P(A∩B)=0.23×0.55=0.1265

P(A∪B)=P(A)+P(B)-P(A∩B)

=0.55+0.34-0.1265

=0.7635

P(A|B)=[P(A∩B)]/P(B)=0.1265/0.34 ≈0.3721

8 0

3 years ago

Helppppppp pleaseeee again im sorry but i dont know any of itttttt.

Alchen [17]

Step-by-step explanation:

sqrt(5x)×(sqrt(8x²) - 2×sqrt(x)) =

sqrt(5x × 8x²) - 2×sqrt(5x × x) =

sqrt(40x) × x - 2x × sqrt(5) =

2x×sqrt(10x) - 2x×sqrt(5)

therefore, the last option is correct.

5 0

2 years ago