Answer: 36 is your answer
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.
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.
Answer:
Step-by-step explanation:
=>
LCM = 16
=>
=>
Answer:
7/16
Step-by-step explanation:
13/16 - 3/8
Lowest common multiple is 16.
= 13/16 - 6/16
Subtract the fractions.
= (13-6)/16
= 7/16
The solution to the equation 7/28 = 25/x is x = 100.
Given the equation in the question:
7/28 = 25/x
To solve for the variable x in the equation 7/28 = 25/x, first, we cross multiply.
7/28 = 25/x
Cross-multiplying, i.e multiplying the numerator of the first fraction with the denominator of the second fraction and vice versa:
Hence:
7 × x = 28 × 25
7x = 700
Now, isolate x by dividing both sides by 7:
7x/7 = 700/7
x = 700/7
x = 100
Therefore, x has a value of 100.
Option B) 100 is the correct answer.
Learn more about equations here: brainly.com/question/14686792
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