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3 years ago

What are three expressions that have the sum or difference of 3/4

Mathematics

1 answer:

evablogger [386]3 years ago

6 0

Answer:

-11/12 − 1/6

-3/5 + 3/20

-2/3 + 1/12

Step-by-step explanation:

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Please Help? A circle has an arc length of 5π in. The central angle for this arc measures π/3 radians. What is the area of the a

Zielflug [23.3K]

Answer:

The area of the associated sector is $\frac{25}{24}\pi \ in^{2}$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is equal to

$C=2\pi r$

we have

$C=5\pi\ in$

substitute and solve for r

$5\pi=2\pi r$

$r=2.5\ in$

step 2

Find the area of the circle

we know that

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=2.5\ in$

substitute

$A=\pi (2.5^{2})=6.25\pi\ in^{2}$

step 3

Find the area of the associated sector

we know that

$2\pi\ radians$ subtends the complete circle of area $6.25\pi\ in^{2}$

by proportion

Find the area of a sector with a central angle of $\pi/3\ radians$

$\frac{6.25\pi }{2\pi} =\frac{x}{\pi/3}\\x=6.25*(\pi/3)/2\\ \\x=\frac{25}{24}\pi \ in^{2}$

8 0

3 years ago

Industrial chemicals are stored in 55-gallon drums. The radius of the drum is 12 inches, and the height is 32 inches. what is th

Drupady [299]

Answer:

The surface area of the drum is 3317.5218 square inches.

Step-by-step explanation:

Drum's have a cylindrical form, therefore in order to calculate its surface area we need to apply the correct formula, as shown below:

$area = 2*\pi*r^2 + 2*\pi*r*h$

Where the first term of the sum is the area of the lid and bottom of the drum and the second term is the area of the walls of the drum, r is the radius and h is the height. Applying the data from the problem, we have:

$area = 2*\pi*12^2 +2*\pi*12*32\\\\area = 3317.5218 \text{ square inches}$

The surface area of the drum is 3317.5218 square inches.

4 0

3 years ago

HELP WITH 12 PLZ???!?!?!?!!!!?

dezoksy [38]

Can you show the full question?

3 0

3 years ago

Read 2 more answers

Write the following function in standard form. Show your work. y=(x-5)(x+5)(2x-1)

Gnesinka [82]

Answer:

$\boxed{y=4x^3-x^2-50x+25}$

Step-by-step explanation:

The given function is

$y=(x-5)(x+5)(2x-1)$

Observe that, the first two factors are from difference of two squares.

$\Rightarrow y=(x^2-5^2)(2x-1)$

$\Rightarrow y=(x^2-25)(2x-1)$

We expand the brackets using the distributive property to obtain;

$\Rightarrow y=2x^2(2x-1)-25(2x-1)$

$\Rightarrow y=4x^3-x^2-50x+25$

The above function is now in standard form, since the terms are arranged in descending powers of $x$ .

4 0

3 years ago

What are the input and output value for determining the sine of 60?

inna [77]

<h2>Explanation:</h2><h2 />

The input of a function is also called the domain and are those x-values for which the function is defined.

The output of a function is also called the range and are those y-values for which the function is defined.

Here we have the following function:

$y=f(x)=sin(x)$

And we know that:

Input:

$\boxed{x=60^{\circ}}$

Output:

$y=sin(60^{\circ}) \\ \\ \therefore \boxed{y=\frac{\sqrt{3}}{{2}}}$

7 0

3 years ago

Read 2 more answers