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2 years ago

A triangle with 7,?, and form a right triangle.

Mathematics

1 answer:

Vlad1618 [11]2 years ago

6 0

9514 1404 393

Answer:

C 24

D 25

Step-by-step explanation:

Consider the choices offered:

5 and 7 will not form a triangle* with any of the other lengths

7 and 12 will not form a triangle with any of the other (longer) lengths

7 and 24 will form a triangle with the other possibilities, 25 and 29. (needs further consideration)

7 and 25 will not form a right triangle with 29, because a right triangle cannot have 3 odd-length sides.

<em>Further consideration</em>

7^2 +24^2 = 49 +576 = 625 = 25^2 . . . . checking Pythagorean theorem

The side measures 7, 24, 25 will form a right triangle.

_____

* A triangle can be formed from three segments only if the sum of the shortest two exceeds the length of the longest one.

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2 years ago

Dina invests $600 for 5 years at a rate of 2% per year compound interest.

Aleks [24]

Answer:

The value of this investment at the end of the 5 years is of $662.5.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

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This means that $P = 600, t = 5, r = 0.02, n = 1$ . Thus

$A(t) = P(1 + \frac{r}{n})^{nt}$

$A(t) = 600(1 + \frac{0.02}{1})^{t}$

$A(t) = 600(1.02)^t$

Calculate the value of this investment at the end of the 5 years.

This is A(5). So

$A(5) = 600(1.02)^5 = 662.5$

The value of this investment at the end of the 5 years is of $662.5.

5 0

2 years ago

Factor this polynomial.

olga55 [171]

Answer:

Hey there!

The correct answer is A.

If you multiply it out with the FOIL method, you get -2x^2-7x-3

Let me know if this helps :)

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2 years ago

Which of the following numbers sets does not include \large -\sqrt{25} ?

kolbaska11 [484]

Answer:

Step-by-step explanation:

The answer is B

The whole numbers are the + integer set. Since -sqrt(25) = - 5, this number is not included in the whole number set.

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2 years ago

Need help ASAP <br> Thankss + BRAINLIST only for correct answer

Murrr4er [49]

Answer:

(2, 0)

Step-by-step explanation:

Given the simultaneous equation

2x-y = 4

3x+y = 6

Add both equation

2x+3x = 4 + 6

5x = 10

x = 10/5

x = 2

Substitute x = 2 into equation 1

From1 ;

2x-y = 4

2(2) - y = 4

4 - y = 4

y = 4-4

y = 0

Hence the solution to the system of equation is (2, 0)

3 0

2 years ago