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3 years ago

Determine whether each of the following products is rational or irrational.

Mathematics

1 answer:

ankoles [38]3 years ago

6 0

Answer:

-irrational

-rational

-irrational

__________________________________________________________quick and easy way is to see if the squares are perfect squares, like square root seven is irrational, so the answer is irrational. square root 9 is 3, which is rational, so its rational.

brainliest is appreciated :)

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William is reading a book for class. The book is 94 pages long. For the first assignment, William read 25 pages. For the second

Digiron [165]

Answer:

Step-by-step explanation:

94-25-37=

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3 years ago

Read 2 more answers

The difference of a number and 4 is 9

choli [55]

Answer:

5 maybe

Step-by-step explanation:

when speaking in difference, it's usually talking about subtraction! so when written down your problem would look like : x - 4 = 9 . (x=5)

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3 years ago

(20 points)Solve the equation cos x = sin (x + 22)

Law Incorporation [45]

Answer:

$\bold{x = 34^\circ}$

Step-by-step explanation:

Given:

$cos x = sin (x + 22^\circ)$

To solve:

The given equation.

Solution:

First of all, let us consider an important property of sine and cosine.

$sin(90^\circ-\theta )=cos\theta$

$cos(90^\circ-\theta )=sin\theta$

We can apply above property to solve for $x$ as per given equation.

$cos x = sin (x + 22^\circ)$

Changing $cosx$ to sine form:

$cosx=sin(90^\circ-x)$

$cosx=sin(90^\circ-x) = sin(x+22^\circ)$

$\therefore 90^\circ-x=x+22^\circ\\\Rightarrow 90^\circ-22^\circ=x+x\\\Rightarrow 2x=68^\circ\\\Rightarrow \bold{x = 34^\circ}$

So, solution to the equation $cos x = sin (x + 22^\circ)$ is:

$\bold{x = 34^\circ}$

7 0

3 years ago

A rectangle has a heigh if 4x^3 and a width of x^3+3x^2+2x

Andrews [41]

Answer:

Area = $4x^6+12x^5+8x^4$

Step-by-step explanation:

The Complete Question:

A rectangle has height $4x^3$ and width $x^3+3x^2+2x$ . What is the area of the rectangle in terms of x?

Solution:

The formula for the area of a rectangle is:

Area = Height * Width

Both the expressions for height and width is given, so we just need to multiply both the expressions to get an expression, in x, for the area of the rectangle. The algebra is shown below:

$A=(4x^3)(x^3+3x^2+2x)\\A=4x^6+12x^5+8x^4$