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Elza [17]
3 years ago
5

What is the value of the sin3x/6x; as x approaches to zero

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

Step-by-step explanation:

When x = 0,

sin3x / 6x = 0 / 0, which is an indeterminate form.

Hence we use L'Hospital's rule:

d/dx (sin3x) = 3cos3x

d/dx (6x) = 6

Now we have 3cos3x / 6 or 0.5cos3x.

When x = 0, 0.5cos3x = 0.5(1) = 0.5.

Hence the limit is 0.5.

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Simplest radical form​
Anton [14]

Answer:

Step-by-step explanation:

A(7,1), B(5,-6)

(AB)² = (-6-1)² + (5-7)² = 53

AB = √53

3 0
3 years ago
It is about 350 miles from Ruidoso, New Mexico, to Abilene, Texas. Haruko has already driven 75 miles and made it to Roswell, Ne
kvv77 [185]

Answer:

55 miles per hour

Step-by-step explanation:

Given that:

Distance from Mexico to Texas 350 miles

Miles already traveled = 75 miles

Hence, miles left ;

(350 miles - 75 miles) = 275 miles

To complete 275 miles in 5 hours ;

Speed = distance / time

Speed = 275 / 5

Speed = 55 miles per hour

4 0
3 years ago
True or false the in-center of a triangle is the point equidistant from each side of the triangle
Viktor [21]

Answer:

True.

Step-by-step explanation:

Let's see the definition of in-center of a triangle.

The in-center of a triangle is a point located in the center of the triangle. It is equal distance from all sides of the triangle.

Therefore, it is True.

If we draw line segments from in-center to each vertex of the triangle, it will bisect the angles.

Herewith I have attached the figure for your reference.

3 0
3 years ago
Read 2 more answers
gabrielle has $0.55 in dimes and nickels. She has 6 coins altogether. how many coins of each kind does she have?
elena-s [515]

the answer is 5 dimes and 1 nickel.

hope this helps <3

3 0
3 years ago
Read 2 more answers
The sum of x and 8 is less than 72​
Vanyuwa [196]

Answer:

x<84

Step-by-step explanation:

First, write an inequality. We know it is not an equation because of the words "less than". Also, x and 8 are being added because of the word "and". Here's the inequality: x+8 < 72. Now, subtract 8 on both sides so x is isolated. Our simplified inequality looks like this: x < 84.

4 0
3 years ago
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