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marishachu [46]
4 years ago
13

Explain why the rules called the algebraic order of operations are necessary for computation

Mathematics
1 answer:
AfilCa [17]4 years ago
5 0

The rules are necessary, so that there is agreement as to how to evaluate an expression. By having rules, and having everyone follow the rules, an expression can have only one single correct value. If there are no rules, then different people will interpret the expression differently, and will get different values for its evaluation.

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The fastest race horse ran 1/4 mile in 1/3 of a minute. What was the horse's running speed?
bagirrra123 [75]

Answer:

3/4 miles per minute

Step-by-step explanation:

To get speed in miles per minute, just divide distance/time

1/4 mile / 1/3 minute = 3/4 miles per minute

If you want miles per hour, you'll have to convert minutes to hours.

3/4 miles/minute * 60 minutes/hour = 45 miles/hour

6 0
3 years ago
Consider the proof. Given: In △ABC, BD ⊥ AC Prove: the formula for the law of cosines, a2 = b2 + c2 – 2bccos(A) Statement Reason
loris [4]

Solution: The missing reason in Step 8 is substitution of x=c\cos (A).

Explanation:

The given steps are used to prove the formula for law of cosines.

From step 5 it is noticed that our equation is

a^2=b^2-2bx+c^2      ..... (1)

From step 7 it is noticed that the value of x is c\cos (A).

So by substituting c\cos (A) for x in equation (1) we get the equation of step 8, i.e.,

a^2=b^2-2bc\cos (A)+c^2

Hence, the missing reason in Step 8 is substitution of x=c\cos (A).



5 0
3 years ago
Read 2 more answers
Find the area of this parallelogram.<br><br> 8.9 cm<br> 7.1 cm<br> 11.4 cm
defon
<h3>Answer: 80.94 square cm</h3>

==================================================

Work Shown:

Area of parallelogram = base*height

Area of parallelogram = 11.4*7.1

Area of parallelogram = 80.94 square cm

-------------

notes:

  • The base and height always form a 90 degree angle (as shown by the small square marker).
  • The side length of 8.9 cm is never used.
  • We can write "square cm" as "cm^2" or \text{ cm}^2
3 0
3 years ago
Read 2 more answers
If n = 13, then P(t &gt; 2.2) &lt; 0.025<br> True or false
Sergeu [11.5K]

Answer:

true

Step-by-step explanation:

6 0
3 years ago
Find all solutions to
BARSIC [14]

Answer:

x= 0 , \frac{1}{14} , \frac{-1}{12}

Step-by-step explanation:

Given, equation is \sqrt[3]{15x-1} + \sqrt[3]{13x+1} = 4\sqrt[3]{x}. →→→ (1)

Now, by cubing the equation on both sides, we get

( \sqrt[3]{15x-1} + \sqrt[3]{13x+1} )³ = (4\sqrt[3]{x})³

⇒ (15x-1) + (13x+1) + 3×\sqrt[3]{15x-1}×\sqrt[3]{13x+1} (\sqrt[3]{15x-1} + \sqrt[3]{13x+1}) = 64 x.

⇒ 28x + 3×\sqrt[3]{15x-1}×\sqrt[3]{13x+1} (4\sqrt[3]{x}) = 64x.        

(since from (1),  \sqrt[3]{15x-1} + \sqrt[3]{13x+1} = 4\sqrt[3]{x})

⇒ 12× \sqrt[3]{15x-1}×\sqrt[3]{13x+1} (\sqrt[3]{x})= 36x.

⇒ 3x = \sqrt[3]{(15x-1)(13+1)(x)}.

Now, once again cubing on both sides, we get

(3x)³ = (\sqrt[3]{(15x-1)(13+1)(x)})³.

⇒ 27x³ = (15x-1)(13x+1)(x).

⇒ 27x³ = 195x³ + 2x² - x

⇒ 168x³ + 2x² - x = 0

⇒ x(168x² + 2x -1) = 0

⇒ by, solving the equation we get ,

x = 0 ; x = \frac{1}{14} ; x = \frac{-1}{12}

therefore, solution is x= 0 , \frac{1}{14} , \frac{-1}{12}

7 0
3 years ago
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