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brilliants [131]
3 years ago
8

What is Lim x → ∞ cos (x) ?

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
6 0

Answer:

non existent

Step-by-step explanation:

Hello, please consider the following.

\forall \ n \in \mathbb{N}\\\\cos((2n+1)\pi)=0\\\\cos(2n\pi)=1\\\\\text{So, there is no limit possible for } x \rightarrow +\infty

Thank you.

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I would have to say false because they do not have the same perimeter and area 
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The number m and 5/8 are additive inverses.
Nonamiya [84]

Conveniently, your number line has 8 divisions in each unit interval, so finding 5/8 is a matter of counting 5 divisions.

The additive inverse of a number has the opposite sign from the number, so m = -5/8. The sum of a number and its additive inverse is zero. (That is the definition of additive inverse.)

5 0
3 years ago
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21m−49n factored using the GCF is
kvasek [131]

The GCF would be 7.


3 0
3 years ago
Can somebody help me please
AnnyKZ [126]

It's an isosceles triangle so angles A and BCA are congruent.  

Angle BCA is the supplement of BCD, so 180-109 = 71.

Angle A is congruent to that, so A=71 degrees.

Let's see if we can get that in the format they want, kind of as a proof.

1.  ∠BCD=109° Reason: Given

2. AB ≅ BC      Reason: Given

3. ∠BCA = 71°  Reason: Linear pairs are supplementary

4. ΔABC is isosceles.   Reason: Definition of isosceles

5. ∠A ≅ ∠BCA   Reason: Isoceles triangle theorem

6. ∠A = 71°         Reason: Def congruent

Answer: 71 degrees

5 0
2 years ago
1. Quadratics.
Drupady [299]

h(24) = 21.93, vertical intercept is 5.8, (31.76,22.95) are the vertex coordinates and the distance traveled by the shot is 73.49 feet given the equation of the path of the longest shot h(x) = -0.017x² + 1.08x + 5.8. This can be obtained by understanding the concepts of graph function.

<h3>What is the value of h(24)?</h3>

Given,

h(x) = -0.017x² + 1.08x + 5.8

Put h = 24,

h(24) = -0.017(24)² + 1.08(24) + 5.8

h(24) = -9.792 + 25.92 + 5.8

h(24) = 21.93

The height of the shot put above the ground is 21.93 feet when the shot is 24 feet horizontally from the start.

<h3>What is the value of the vertical intercept?</h3>

Vertical intercept, x = 0

h(0) = -0.017(0)² + 1.08(0) + 5.8

h(0) = 5.8

The height of the shot put above the ground is 5.8 feet at the start.

<h3>What is the values of the vertex coordinates?</h3>

vertex coordinates,

(h,k) = [(-b/2a),-(b²- 4ac)/4a]

(h,k) = [(-1.08/2(-0.017)),-((1.08)²- 4(-0.017)(5.8))/4(-0.017)]

(h,k) = [(1.08/0.034),(1.5608)/0.068)]

(h,k) = (31.76,22.95)

The maximum height attained by the shot is 22.95 feet when it is horizontally 31.76 feet away from the start.

<h3>How far from the start did the shot put strike the ground?</h3>

Put h(x) = 0,

-0.017x² + 1.08x + 5.8 = 0

Use quadratic formula for solving x,

x = (-b±√b²- 4ac)/2a

Here a = -0.017, b=1.08, c=5.8

x = [-1.08±√1.08²- 4(-0.017)(5.8)]/(2×-0.017)

x = [-1.08±√1.5608]/-0.034

x =  [-1.08-1.2493]/-0.034 and x =  [-1.08+1.2493]/-0.034

x = 68.509 and x = - 4.98

Distance between (68.509,0) and (- 4.98,0) = √[68.509 -(- 4.98)]² + (0-0)²

                                                                        = √73.49²

                                                                        = 73.49 feet              

Hence h(24) = 21.93, vertical intercept is 5.8, (31.76,22.95) are the vertex coordinates and the distance traveled by the shot is 73.49 feet given the equation of the path of the longest shot h(x) = -0.017x² + 1.08x + 5.8.

Learn more about graph:

brainly.com/question/14180189

#SPJ1

8 0
1 year ago
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