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vladimir2022 [97]
3 years ago
12

Find the square root of 196 with process.​

Mathematics
2 answers:
lozanna [386]3 years ago
4 0

Answer: \sqrt{196} =14

Step-by-step explanation:

{\begin{array}{c|c}196 & 2 \\ 98&2  \\49 &7 \\7&7     \end {array }         196=2\cdot 2\cdot  7\cdot 7=2^4\cdot 7^2 \\\\\sqrt{196} =\sqrt{2^2\cdot 7^2} =2\cdot 7=14

blsea [12.9K]3 years ago
3 0

Answer:

The square root of 196 is 14

Step-by-step explanation:

Prime factorization of 196:

  • 2² × 7²

Prime factors of 196 in pairs:

  • (2 × 2) × (7 × 7)

Now square root of 196:

  • √196 = √(2 × 2) × (7 × 7)
  • √196 = √(2 × 7)²
  • √196 = (2 × 7)
  • = 14

Thus, The square root of 196 is 14

<u>-TheUnknownScientist</u><u> 72</u>

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satela [25.4K]

Answer: 7

Step-by-step explanation:

5 0
3 years ago
Using the segment addition postulate, which is true? What is the measure of AngleDCF? Three lines extend from point C. The space
Flura [38]

Answer:

129

Step-by-step explanation:

If three lines CD, CE and CF extend from point C, then the following addition postulate is true;

<DCE + <ECF = <DCF

If the space between line C D and C E is 75 degrees, then <DCE =  75

If the space between lines C E and C F is 54, then <ECF = 54.

Substitute the given values into the expression above will  give;

<DCF =<DCE + <ECF

<DCF  = 75+54

<DCF  = 129

Hence the measure of <DCF  is 129°

8 0
3 years ago
A day can be evenly divided into 86,400 periods of 1 second; 43,200 periods of each 2 seconds; or in many other ways. In total,
Leni [432]

Answer:

96 ways

Step-by-step explanation:

Given

Day = 86400\ seconds

Required

Ways to divide it into period of seconds

What this question implies is to determine the total number of factors of 86400

To start with, we determine the prime factorization of 86400

To do this, we continually divide 86400 by 2; when it can not be further divided, we divide by 3, then 7, then 11...

86400/2 = 43200

43200/2=21600

21600/2=10800

10800/2=5400

5400/2= 2700

2700/2 = 1350

1350/2=675

675/3=225

225/3=75

75/3=25

25/5=5

5/5 = 1

This implies that:

86400 = 2^7 * 3^3 * 5^2

The number of factors d is the solved by:

d = (a+1)*(b+1) *(c+1)

Where

n = 2^a * 3^b * 5^c

By comparison:

a = 7

b = 3

c=2

So:

d = (7+1)*(3+1) *(2+1)

d = 8*4 *3

d = 96

<em>Hence, there are 96 total ways</em>

7 0
3 years ago
There are 75 milligrams of cholesterol in a 3.5 ounce serving of lobster. How much cholesterol is in 6ounces of lobster
Maru [420]

Hence, the amount of cholesterol in 6 ounces of lobster will be 128.58 milligrams

Step-by-step explanation:

Given

Cholesterol in 3.5 ounces = 75 mg

Cholesterol in 6 ounces =x= ?

This can be worked out by using proportions

It can be written as:

\frac{75}{3.5}=\frac{x}{6}\\21.43=\frac{x}{6}\\Multiplying\ both\ sides\ by\ 6\\21.43*6=x\\x=128.58\ mg

Hence, the amount of cholesterol in 6 ounces of lobster will be 128.58 milligrams

Keywords: Proportions, Conversion

Learn more about proportions at:

  • brainly.com/question/4163549
  • brainly.com/question/4168505

#LearnwithBrainly

8 0
3 years ago
it costs $15 per month for membership at a baseball club. Members pay $5 for game tickets. Write an expression for the cost of 1
julia-pushkina [17]
Y=15+5g Y is the total cost in one month. 15 is the cost of the membership and 5 is the amount you paid to see the game. G is the variable for the amount of games. You multiple the g by 5 to get the total cost of games per a month that you went and saw. Than you add the base cost of 15 or your starting point. And you get your total cost.
7 0
3 years ago
Read 2 more answers
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