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3 years ago

Find the limit as x approaches 0 for cos(2x) / x

1 answer:

5 0

We are asked to determine the limits of the function cos(2x) / x as x approaches to zero. In this case, we first substitute zero to x resulting to 1/0. A number, any number divided by zero is always equal to infinity, Hence there are no limits to this function.

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Lois is 3 years older than Oscar. The sum of their ages is no more than 20. Write an inequality that can be used to represent th

scoundrel [369]

Let Oscar be x years old
Lois is x+3 years old

ATQ

$\\ \sf\longmapsto x+x+3\leqslant 20$

$\\ \sf\longmapsto 2x+3\leqslant 20$

$\\ \sf\longmapsto 2x\leqslant=17$

$\\ \sf\longmapsto x\leqslant \dfrac{17}{2}$

5 0

2 years ago

Read 2 more answers

Find the area a of the triangle whose sides have the given lengths. a = 20, b = 15, c = 25 a =?

PIT_PIT [208]

The area of a triangle with sides a = 20, b = 15, and c = 25 is 150.

The sides of the triangle are given as a = 20, b = 15, and c = 25.

We will use Hero's formula to find the area of this triangle.

<h3>What is Heron's formula?</h3>

It is a three-face polygon that consists of three edges and three vertices.

We use Heron's formula to find the area of a triangle with 3 sides:

Herons formula:

Area of a triangle = $\sqrt{s(s-a)(s-b)(s-c)}\\$

Where a, b, and c are sides of a triangle.

And s = semi perimeter of a triangle.

s = $\frac{a+b+c}{2}$

If the sum of two sides of a triangle is greater than the third side of a triangle then the sides of a triangle are true.

Let the given sides be:

a = 20, b = 15 and c = 25.

(20 + 15) > 25

(20 + 25) > 15

(15 + 25) > 20 so the given sides are true.

Now,

Semi perimeter of the triangle:

s = (a+b+c) / 2

s = (20+15+25) / 2

s = 60 / 2

s = 30

Putting s = 30 in the area of the triangle.

we get,

Area of the triangle = $\sqrt{s(s-a)(s-b)(s-c)}\\$

Area of the triangle = $\sqrt{30(30-20)(30-15)(30-25)}\\\\\sqrt{30\times10\times15\times5}\\\\\sqrt{22500}\\\\150$

Thus, the area of a triangle is 150.

Learn more about the Area of triangles here:

brainly.com/question/11952845

#SPJ1

3 0

2 years ago

Please help urgently

Genrish500 [490]

Answer:

Solution,

Onions less than 60 grams = 2 --> Pickling

Onions greater than 120 grams = 5 + 3 = 8 --> Market

Onions between 60 and 120 = 13---> Processing

Total frequency = 2 + 8 + 13 = 23

Now,

$x = \frac{13}{23} \times 360$

$x = 203.48$

$x = 203.5$

Hope this helps ..

Good luck on your assignment...

4 0

3 years ago

Read 2 more answers

Geometry<br> What is the value of x to the nearest tenth?

Setler [38]

Answer:

x = 9.4

Step-by-step explanation:

The angle bisector divides the sides proportionally:

x/15.4 = 4.7/7.7

x = (15.4)(4.7/7.7) . . . . multiply by 15.4

x = 9.4

5 0

2 years ago

What is the volume of the pyramid ? 8ft 7ft 7ft

Nuetrik [128]

Answer:

V= 392 ft^3

Step-by-step explanation:

We know that the volume V of a pyramid is one-third the area of the base B times the height h.

If h= 8ft and areabase = 7ft x 7ft = 49 ft^2.

Then, the Volume V is:

V = areabase x height = 49 ft^2 x 8ft = 392 ft^3

So the solution is option D.

7 0

3 years ago

Read 2 more answers