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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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How many triangles can fit into one triangle
pshichka [43]
Well, it depends on the triangle and how big it is, if we dont know, there could be infinite possibilities
8 0
3 years ago
Read 2 more answers
If angle PQR and angle RQS form a linear pair and angle PQR =5x+5 and angle RQS =11x-65 then angle PQR=?
Mama L [17]

Answer:

m<PQR = 80°

Step-by-step explanation:

<u>Points to remember</u>

Sum angles in a linear pair is 180

<u>To find the value of x</u>

It is given that, angle PQR and angle RQS are linear pairs, and

m< PQR =5x+5 and m<RQS =11x-65

m<PQR + m<RQS = 180

5x + 5 + 11x - 65 = 180

16x -60 = 180

16x = 180 + 60

16x = 240

x = 15

<u>To find the value of angle PQR</u>

m<PQR = 5x + 5

 = 5*15 + 5

 = 75 + 5 = 80

Therefore m<PQR = 80°

3 0
3 years ago
The perimeter of a rectangle is 52 cm. If its width is 2 cm more than one-third of its length, find the dimensions of rectangle.
Jobisdone [24]

Answer:

(B) 18 cm x 8 cm

Step-by-step explanation:

let the length be x,

then the width is \frac{1}{3}x + 2

2( \frac{1}{3}x + 2 + x ) = 52

\frac{1}{3}x + 2 + x  = 26

\frac{4}{3} x = 24

x = (24*3)/4

x = 18

then the length is 18 cm

and width is (1/3)*18 + 2 = 8

Therefore the dimensions are length:width = 18 cm : 8 cm

7 0
2 years ago
Read 2 more answers
PT = 7x + 8 and TQ = 9x - 6
erastova [34]

Answer:

t is 7

Step-by-step explanation:

i did it

4 0
3 years ago
Two cars, one going due east at 25 m / sec and the second going due south at 50/3 m / sec are traveling toward the intersection
valkas [14]

Answer:

30 m/s

Step-by-step explanation:

Let's say the distance from the first car to the intersection is x, and the distance from the second car to the intersection is y.

The distance between the cars can be found with Pythagorean theorem:

d² = x² + y²

Taking derivative with respect to time:

2d dd/dt = 2x dx/dt + 2y dy/dt

d dd/dt = x dx/dt + y dy/dt

We know that x = 200, dx/dt = -25, y = 150, and dy/dt = -50/3.

To find dd/dt, we still need to find d.

d² = x² + y²

d² = (200)² + (150)²

d = 250

Plugging everything in:

250 dd/dt = (200) (-25) + (150) (-50/3)

dd/dt = -30

The cars are approaching each other at a rate of 30 m/s at that instant.

4 0
3 years ago
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