All categories

2 years ago

Simplify the rational expression by rationalizing the denominator √15/√6x

Mathematics

1 answer:

noname [10]2 years ago

4 0

Answer:

√10/2x

Step-by-step explanation:

Multiply by √6 on the top and bottom to rationalize the denominator.

(√15×√6)/(√6x×√6) = √90/6x = (√9×√10)/6x = 3√10/6x = √10/2x

You might be interested in

How fast did the plane descend?

ohaa [14]

Answer:

5 meters per second

Step-by-step explanation:

First you must find the slope of the graph. Take the rise/run of the function. The graph starts at 8500 meters and goes down to 7500 meters in 200 seconds. the difference between the change in meters is 1000 meters and the change in seconds is 200 seconds. That is 1000/200. This can be simplified to 5/1 which is 5 meters per second.

5 0

3 years ago

Read 2 more answers

Find the area of the circle. 12 ft

Ratling [72]

Answer:

Area of the circle is 113.04 ft²

Step-by-step explanation:

Given:

Diameter of circle = 12 feet

To Find:

Area of the circle

Using formula:

$\\ \: \: \dashrightarrow \: \: \:{\underline{\boxed{ \bf{Area_{( circle)} = \pi r^2}}}} \\ \\$

Where,

π = 3.14
Diameter = 12 feet
Radius = 12/2 = 6 feet

On substituting the required values, we get:

$\\ \: \: \dashrightarrow \: \: \: \sf Area_{(Circle)} = 3.14 \times {(6)}^{2} \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf Area_{(Circle)} = 3.14 \times 36 \\ \\ \\ \: \: \dashrightarrow \: \: \: \sf Area_{(Circle)} = 113.04 \: {ft}^{2} \\ \\ \\$

Hence,

Area of the circle is 113.04 ft²

3 0

1 year ago

Read 2 more answers

What is the greatest number of teams can be formed that have the same amount of boys and girls on each team if they have 54 girl

elena55 [62]

The greatest number of teams can be formed that have the same amount of boys and girls on each team is 6

Solution:

Given that there are 54 girls and 84 boys

We have to find the greatest number of teams can be formed that have the same amount of boys and girls on each team

So we have to find the greatest common factor of 54 and 84

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor

Let us find the factors of 54 and 84

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

In the above factors list, 6 is the greatest common factor

Then the greatest common factor is 6

So the greatest number of teams can be formed that have the same amount of boys and girls on each team is 6

7 0

3 years ago

Read doccument attached

Klio2033 [76]

Answer:

48.6 km/hr

Step-by-step explanation:

(135/10)×(18/5)

48.6 km/hr

3 0

2 years ago

Which sets of side lengths represent Pythagorean triples? Check all that apply.

marshall27 [118]

Answer:

08, 15, 17

Step-by-step explanation:

Use the Pythagorean theorem.

Where the sum of both legs squared is equal to the hypotenuse squared.

8² + 15² = 17²

64 + 225 = 17²

289 = 17²

289 = 289

The side lengths that represent Pythagorean triplets are 08, 15, 17.

8 0

2 years ago