Evaluate the expression when a=-3 and x=3.<br> 5x

in a regular polygon each interior angle is 140 greater than each exterior angle calculate the number of sides of each polygon .

Elodia [21]

Answer:

9

Step-by-step explanation:

Exterior sides = 180 - 140 = 40

number of sides = 360 / 40 = 9 sides

6 0

3 years ago

4.

zubka84 [21]

Answer:

See Explanation Below

Step-by-step explanation:

Given

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.$

Required

Prove

To start with; we open the bracket on the left hand side

$(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)$

$(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)$

$(sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x$

$(sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x$

Reorder

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

From trigonometry;

$sin^2x + cos^2x = 1$

So;

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

becomes

$(sin x - cos x)^2 = 1 - 2sinx cos x$

Also from trigonometry;

$sec^2x - tan^2x = 1$

So,

$(sin x - cos x)^2 = 1 - 2sinx cos x$

becomes

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx cos x$

Proved

3 0

3 years ago

Please help. will give brainliest

vichka [17]

Answer:

B. The probability that the student received a grade better than C is 0.45

Step-by-step explanation:

<u>Total number of students:</u>

15 + 30 + 35 + 16 + 4 = 100

<h3>Statements</h3>

A.

p(<D) = 4/100 = 0.04
0.04 ≠ 0.2
Incorrect

B.

p(>C) = (30 + 15)/100 = 45/100 = 0.45
0.45 = 0.45
Correct

C.

p(not A or B) = (100 - 15 - 30)/100 = 55/100 = 0.55
0.55 ≠ 0.45
Incorrect

D.

p(B or C) = (30 + 35)/100 = 65/100 = 0.65
0.65 ≠ 0.35
Incorrect

6 0

3 years ago

Please plot this linear equation on a graph, and also explain how to plot it. <br> <img src="https://tex.z-dn.net/?f=y%3D3x-7" i

olasank [31]

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day.

We can solve this equation in a single step, we just need a bit of theory and a graph.

We can first see that its in $y=mx+b$ form. Which is also known as Slope-Intercept form.

This means that we know the following.

$b$ is the y coordinate of the y intercept.
$m$ is the slope of the line.

Since we know that, we can see that from our equation that the slope of the line is 3 and the y intercept is (0,-7).

Now that we've gotten that, we can start graphing.

The y intercept is -7 so we can plot (0,-7) as one of our points.

The slope of 3 means that we got up 3 units then right a single unit.

Therefore, another point could be (1,-4).

With our two points, we can create our graph by creating a straight line through those two points and therefore plotting our line.

Cheers!

6 0

2 years ago

Read 2 more answers

An __________ is a mathematical sentence in which two sides are not equal and are separated with the symbols <, >, ≥, ≤

Artist 52 [7]

Answer: An inequality is a mathematical or arithmetic phrase that is not equal; this inequality prohibits the equal sign. Instead, inequalities are expressed with greater than (>), less than (<), equal to or greater than (≥) or equal to or less than (≤).

7 0

3 years ago

Read 2 more answers

Evaluate the expression when a=-3 and x=3. 5x - a