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2 years ago

53 3/4 + 12 2/3. can someone please help me

Mathematics

2 answers:

Rudik [331]2 years ago

6 0

Answer:

Exact form : 797/12

Decimal form : 66.416 (Place a line over the six in .416 to show that the six is repeating itself. It will look like this...66.41666666...)

Mixed Number form : 66 5/12

Step-by-step explanation: Convert the mixed numbers to improper fractions, then find the LCD (Least Common Denominator) and combine.

Hope this helps you out! ☺

Mumz [18]2 years ago

5 0

Answer:

66 5/12

Step-by-step explanation:

53 3/4 + 12 2/3 =

53 9/12 + 12 8/12 =

65 17/12 =

66 5/12

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Find maclaurin series

Mumz [18]

Recall the Maclaurin expansion for cos(x), valid for all real x :

$\displaystyle \cos(x) = \sum_{n=0}^\infty (-1)^n \frac{x^{2n}}{(2n)!}$

Then replacing x with √5 x (I'm assuming you mean √5 times x, and not √(5x)) gives

$\displaystyle \cos\left(\sqrt 5\,x\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt5\,x\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^{2n}}{(2n)!}$

The first 3 terms of the series are

$\cos\left(\sqrt5\,x\right) \approx 1 - \dfrac{5x^2}2 + \dfrac{25x^4}{24}$

and the general n-th term is as shown in the series.

In case you did mean cos(√(5x)), we would instead end up with

$\displaystyle \cos\left(\sqrt{5x}\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt{5x}\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^n}{(2n)!}$

which amounts to replacing the x with √x in the expansion of cos(√5 x) :

$\cos\left(\sqrt{5x}\right) \approx 1 - \dfrac{5x}2 + \dfrac{25x^2}{24}$

7 0

1 year ago

A square has an area of 148.84m2.<br> Work out the perimeter of the square

Lemur [1.5K]

Answer:

48.8m

Step-by-step explanation:

Formula for square area = $a^{2}$ = 148.84 $m^{2}$

=> a = $\sqrt{148.84}$ = 12.2

Formula for square perimeter = 4a = 4 x 12.2 = 48.8 m

8 0

1 year ago

Read 2 more answers

Is the sqrt of 1 - sin^2 theta = cos theta true? If so, in which quadrants does angle theta terminate?

Genrish500 [490]

Answer:

Answer: The answer is option B.

Step-by-step explanation:

Here,

We have,

${ \sin }^{2} theta \: + {cos}^{2}theta = 1$

${cos}^{2} \: theta = 1 - {sin}^{2} \: theta$

$cos \: theta = \sqrt{1 - { \sin }^{2}theta }$

So, it's true; and it lies in quadrant 1 and 4.

The reason according to the "CAST" rule cos theta is in 1st and 3rd quadrant cos theta is positive.

7 0

2 years ago

The binomial (a + 5) is a factor of a2 + 7a + 10. What is the other factor?

malfutka [58]

(a+5)(a+2) = a^2 + 7a + 10
look at what adds to make 7 and multiplies to make 10
as you know one is 5, the other is 2 and 5 + 2 = 7 so both positive
(a+2)

7 0

2 years ago

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Assume that a, b, and c are sides of a right triangle as shown in this picture. If side a = 27 cm and side c = 45 cm, use the Py

exis [7]

Answer:

Step-by-step explanation:

b= √(c²-a²)

b= √(45²-27²)

b= √(2025-729)

b= √(1296)

b= 36

5 0

2 years ago