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OlgaM077 [116]
2 years ago
8

3.14 x (6)^2 = ? step by step

Mathematics
1 answer:
soldi70 [24.7K]2 years ago
8 0

         \rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

         <em>3.14×(6)² step by step</em>

<em />

<em />\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

      When you're trying to simplify an expression which requires several operations, the acronym <u>PEMDAS </u> comes in handy, and here's what it means:-

  • P = parentheses (x+n)
  • E = exponents \bold{x^n}
  • M = multiplication x•n
  • D = division x÷n
  • A = addition x+n
  • S = subtraction x-n

    With the help of the acronym PEMDAS, we can simplify our expression:-

\bold{3.14\times6^2}

Squaring 6 (Exponents):-

\bold{3.14\times36}

Which results in

\boxed{\boxed{\sf{113.04}}}\checkmark

<h3>Good luck with your studies! :-)</h3>

         \rule{50}{1}\smile\smile\smile\smile\smile\rule{50}{1}

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Solve the inequality 3u+3(u+1)&gt;2u+7 and write the solution in interval notation.
strojnjashka [21]

<u>Given</u>:

The given inequality is 3u+3(u+1)>2u+7

We need to determine the solution of the inequality in interval notation.

<u>Solution of the inequality:</u>

The solution of the inequality can be determined by simplifying the inequality.

Thus, we have,

3u+3u+3>2u+7

       6u+3>2u+7

Subtracting both sides by 3, we get;

6 u>2 u+4

Subtracting both sides by 2u, we have;

4 u>4

Dividing both sides by 4, we get;

u>1

Writing it in interval notation, we get;

(1, \infty)

Thus, the solution of the inequality is (1, \infty)

5 0
3 years ago
Really didn’t understand this Can someone please help?
Vaselesa [24]

Answer:

125

Step-by-step explanation:

because it is the next side of x

7 0
3 years ago
Read 2 more answers
HELP PLEASE!! Sally has a mass of 70 kilograms and Dave weighs 170 pounds. What is Sally's weight as a percentage of Dave's weig
k0ka [10]

Step-by-step explanation:

Sally mass = 70 kilograms

Dave mass = 170 pounds ≈ 77 kilograms

Sally's mass as a percentage of Dave's mass = (70/77)x100

Sally's mass as a percentage of Dave's mass ≈  91 %

3 0
3 years ago
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Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally
Anastasy [175]

Answer:

a) the required probability is 0.0013

b) the required probability is 0.0288

c) the required probability is 0.9759

Step-by-step explanation:

Given the data in the question;

let x be the thickness measurements

Given that X follows a Normal distribution with mean μ = 5.4

standard deviation σ = 0.8

then z = x-μ / σ = x-5.4 / 0.8   follows standard Normal

 

a) probability that the thickness is less than 3.0 mm

P( x<3 ) = P( x-5.4 / 0.8  <  3-5.4 / 0.8 ) = P( Z < -3.00 ) = 0.0013

Therefore, the required probability is 0.0013

b) the thickness is more than 7.0 mm

P( x>7 ) = P( x-5.4 / 0.8  >  7-5.4 / 0.8 ) = P( Z > 2.00)

= 1 - P( Z ≤ 2)

= 1 - 0.9772

= 0.0288

Therefore, the required probability is 0.0288

c) the thickness is between 3.0 mm and 7.0 mm

P(3< x<7 ) = P( x<7) - P(x<3)

= P( x-5.4 / 0.8  >  7-5.4 / 0.8 )  - P( x-5.4 / 0.8  <  3-5.4 / 0.8 )

= P( Z< 2 ) - P( Z < -3)

= 0.9772 - 0.0013

= 0.9759

Therefore, the required probability is 0.9759

6 0
3 years ago
If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with t
Andreas93 [3]
D) 30

A polygon can rotate a total of 360. This one has 12 sides and 12 angles that are all congruent. So to coincide with original image, it must rotate 1/12 of the way around

360/12=30
3 0
4 years ago
Read 2 more answers
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