Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Can someone help me please?

1. Refer to the triangle below. If a = 3 and b = 3,
A. Find the exact length of c in unsimplified radical form
B. Find the exact length of c in simplified radical form
C. Find c to the nearest hundredth
**I put the pic down below**

2. Consider the numbers 4/13 and 3/10 .
A. Compare the numbers.
B. Find a rational number between the two given numbers.

3. Use the Babylonian method to approximate √19 to the nearest hundredth.

Can Someone Help Me Please 1 Refer To The Triangle Below If A 3 And B 3 A Find The Exact Length Of C In Unsimplified Radical Form B Find The Exact Length Of C I class=

Sagot :

brandontucker1
For 1) Use the pythagorean theorem and the formula for it is a^2+b^2=c2 
so that will be 3^2+3^2=c^2
  9+9=c^2
18=c2
 then 
[tex] \sqrt{18} which is \sqrt{9(2)} \sqrt{9} \sqrt{2} the finally 3 \sqrt{2} ---- is the unsimplified form simplified form is [/tex]≈4.2426
and the nearest hundredth 4.24

The correct answers are:


#1: A) c = √18

B) c = 3√2

C) c = 4.24

#2: A) 4/13 > 3/10

B) 79/260

#3: 4.36


Explanation:


#1: A) We use the Pythagorean Theorem to solve this:

a² + b² = c²

3² + 3² = c²

9 + 9 = c²

18 = c²


Taking the square root of each side:

√18 = √c²

√18 = c


B) To simplify √18, we first find the prime factorization of 18:

18 = 9*2

9 = 3*3


This gives us

18 = 3*3*2


When we take the square root, we are looking for pairs. We have a pair of 3's; this means we take a 3 out:


3√2


C) In the calculator, we see that 3√2 = 4.24.


#2: A) First, we find a common denominator. The first thing that both 13 and 10 will divide into is 130:


(4*10)/130; (3*13)/130

40/130; 39/130


Since 40 > 39, this means that 4/13 > 3/10.


B) There is not enough space between the two fractions to use 130 as the denominator; we will double that to 260:

(40*2)/260; (39*2)/260

80/260; 78/260


The fraction between these two would be 79/260.


#3: Using the Babylonian method, we first make a guess. Since 9 is nearly half of 19, we will start there.


Next, we divide 19 by our guess:

19/9 = 2.111


We average this quotient with our guess:

(9 + 2.111)/2 = 11.111/2 = 5.5555


This is our new guess. Now divide 19 by this guess:

19/5.5555 = 3.4200342


Average this with our guess:

(5.5555+3.4200342)/2 = 4.4877671


This is our new guess. Divide 19 by this guess:

19/4.4877671 = 4.233731291


Average this with our new guess:

(4.4877671+4.233731291)/2 = 4.360749196


This is our new guess. Divide 19 by this guess:

19/4.360749196 = 4.357049476


Average this with our new guess:

(4.360749196+4.357049476)/2 = 4.358899


Make this our new guess. Divide 19 by this guess:

19/4.358899 = 4.3588988


Average this with our guess:

(4.358899+4.3588988)/2 = 4.3588989


Since the hundredths place has been the same the last few lines, we round to that: 4.36.

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.