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1 year ago

14

Is the length of the hypotenuse of a right triangle with legs that measure 5 cm and 6 cm a rational number or an irrational numb

er? Justify your answer.

1 answer:

Brut [27]1 year ago

4 0

Answer:

irrational

Step-by-step explanation:

Use the Pythagorean theorem.

5² + 6² = c²

25 + 36 = c²

c² = 61

7² = 49

6² = 64

61 is between 7² and 8², so it is not rational.

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Is <img src="https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B5x%5E%7B5%7D%20%7D" id="TexFormula1" title="\sqrt[4]{5x^{5} }" alt="\sqrt[

stira [4]

Answer: It is not

Explanation:
Fourth root 5x^5

(Fourth root 5x)^5
= fourth root 3125x^5

7 0

2 years ago

Complete the statements to explain how to factor x2 x â€" 12 using algebra tiles. represent the trinomial using 1 positive x2-ti

olga55 [171]

Answer:

1 positive x-tile, 12 negative x-tiles, three, and (x -3) (x + 4) are the answers

Step-by-step explanation:

worked on edge 2022

5 0

10 months ago

Read 2 more answers

You have won the lottery and will receive 20 annual payments of $10,000 starting today. If you can invest these payments at 8.5%

xxTIMURxx [149]

Answer:

$102,677.20

Step-by-step explanation:

The present value of an annuity due is determined by the following expression:

$PV = P+P*(\frac{1-(1+r)^{-n+1}}{r})$

Where 'P' is the amount of each payment received, 'r' is the interest rate on the investment and 'n' is the number of yearly payments.

With 20 annual payments of $10,000 at a rate of 8.5%, the present value is:

$PV = 10,000+10,000*(\frac{1-(1+0.085)^{-20+1}}{0.085})\\PV = 10,000+ 10,000*(9.26772)\\PV=\$102,677.20$

The present value of your winnings is $102,677.20.

8 0

2 years ago

Help? what should i choose

igomit [66]

Answer:

Step-by-step explanation:

Angles on a straight line add up to 180 so:

180-110 = 70

As this is an isosceles triangle,

y must be 70.

We know y is 70 and there are 2y and one x. A triangle also adds up to 180.

This means:

2y+x = 180

2(70)+x = 180

140+x = 180

x = 40

x = 40 y = 70

8 0

2 years ago

Multiply (4+I)(1-5i)

Svetllana [295]

The rule to remember for this problem is: i^2 = -1
(4 + i)(1 - 5i)
4 - 20i + i - 5i^2
4 - 19i + 5
9 - 19i

6 0

3 years ago