All categories

3 years ago

Rationalize the denominator and simplify. 5 / 4 - sqrt 3

Mathematics

1 answer:

Whitepunk [10]3 years ago

4 0

Answer: $\frac{20+5\sqrt[]{3} }{13}$

Step-by-step explanation:

You might be interested in

Write 0.397 as a fraction in simplest form.

e-lub [12.9K]

Answer:

397/1000

Step-by-step explanation:

Mark ‼️ it brainliest if it helps you ❤️

7 0

2 years ago

A sector of a circle has a central angle measuring 15 degrees and the radius of the circle measures 9 inches. What is the arc le

Kamila [148]

Answer:

Arc length is $\dfrac{3\pi }{4}\ \text{inches}$

Step-by-step explanation:

We have,

Central angle is 15 degrees and the radius of the circle measures 9 inches.

It is required to find the arc length of the sector.

The relation between arc length and the central angle is given by :

$\dfrac{\text{arc length}}{\text{circumference}}=\dfrac{\theta}{360}$

Circumference, $C=2\pi r=18\pi$

$\theta=15^{\circ}$

$\dfrac{x}{18\pi }=\dfrac{15}{360}\\\\\dfrac{x}{18\pi }=\dfrac{1}{24}\\\\x=\dfrac{18\pi }{24}\\\\x=\dfrac{3\pi }{4}\ \text{inches}$

Hence, the correct option is (b).

5 0

3 years ago

Determine whether the following is an expression or an equation.

RideAnS [48]

Answer:

C. The statement is an equation because there is an equality symbol.

Step-by-step explanation:

Equation:

Combination of terms joined by the sign minus, plus, multiplication, and division and has equality sign.

Example

5x+45=-5

Term:

A Numbers. (Only)

Example:

Combination of a number and a variable joined by multiplication or division.

Example:

9x, 6ab, 10n

Variable:

a symbol that is written with a number or a term.

6ab

Expression:

Terms joined by the sign plus or minus

Hope this helps ;)❤❤❤

5 0

3 years ago

5. Write the equation of the line represented by the following graph (2 points):

Tcecarenko [31]

Answer:

y=2/3x-2

Step-by-step explanation:

We can first find the y-intercept of the graph.

The y-intercept is the value of y when x is 0.

So, based on the graph, we can see that the y-intercept is at (0, -2).

Now, we need to find another point in order to find the slope of the line.

Another point would be (3,0).

This is also the x-intercept.

We can put these points into the formula for slope to find the slope of the given line.

The formula for slope is: y1-y2/x1-x2

In the formula:

y1 is the y coordinate of the first point

y2 is the y coordinate of the second point

x1 is the x coordinate of the first point

x2 is the x coordinate of the second point

We can plug our points in.

-2-0/0-3

Simplify.

-2/-3

2/3

The slope is 2/3.

Put it into an equation.

We can use the form y=mx+b

This is where m is the slope and b is the y-intercept.

We can put our corresponding values in.

The final equation would therefore be: y=2/3x-2.

3 0

3 years ago

Find y in terms with z. help me please :)

Sever21 [200]

Answer:

y = 5z

Step-by-step explanation:

added in the picture

4 0

2 years ago

Read 2 more answers