All categories

3 years ago

#3 Solve and graph the inequality: -4+x<-9

Mathematics

1 answer:

Vanyuwa [196]3 years ago

7 0

Add 4 to both sides
x < -5

Closed circle at x = 5, line points left

You might be interested in

The radius of the semicircle in the following composite figure is 8.5 millimeters. What is the total area of the composite figur

nydimaria [60]

Answer:

13.35 millimeter. (About)

Step-by-step explanation:

To find the area or circumference of any circle, you need to use pi. So, if we are trying to fine the area of a <em>semicircle, </em>you use the the formula:

πr²/2

So, if the radius is 8.5,

8.5 · 3.14 = 26.69

Now we divide it by 2.

26.69 = 13.345

Since the question is asking to round to the hundredths, the answer will be 13.35 millimeters.

8 0

3 years ago

Read 2 more answers

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal plac

Fed [463]

Answer:

$\theta=k\pi, \hspace{3}k\in Z\\\\ or\\\theta =2\pi k \pm arccos(\frac{1 }{8} ), \hspace{3}k\in Z\\$

Step-by-step explanation:

Factor constant terms:

$-2(-4sin(2\theta)+sin(\theta))=0$

Divide both sides by -2:

$sin(\theta)-4sin(2 \theta)=0$

Expand trigonometric functions using the fact:

$sin(2 \theta) =2 sin(\theta) cos(\theta)$

So:

$sin(\theta) -8sin(\theta)cos(\theta)=0$

Factor sin(x) and constant terms and multiply both sides by -1:

$sin(\theta) (8cos(\theta)-1)=0$

Split into two equations:

$(1)=8cos(\theta)-1=0\\\\(2)=sin(\theta)=0$

For (1)

Add 1 to both sides and divide both sides by 8:

$cos(\theta)=\frac{1}{8}$

Take the inverse cosine of both sides:

$\theta =2\pi k \pm arccos(\frac{1 }{8} ), \hspace{3}k\in Z$

For (2)

Simply take the inverse sine of both sides

$\theta = k \pi, \hspace{3}k\in Z$

Therefore, the solutions are given by:

$\theta=k\pi, \hspace{3}k\in Z\\\\ or\\ \theta =2\pi k \pm arccos(\frac{1 }{8} ), \hspace{3}k\in Z\\$

8 0

3 years ago

Help me figure this out please it’s due today i will name you brainliest!

kompoz [17]

Answer:

i know 4 is 1 i think

Step-by-step explanation:

7 0

3 years ago

What's the answer to a/4=1 1/2 ? please show work thanks

Arisa [49]

A/4=11/2 if you take 4/2 it equals 2 so you times the numerator and the denomerator by 2 and 11*2 equals 22 so the answer is a=22

4 0

3 years ago

Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.

LuckyWell [14K]

The decimal approximations are:

The square root of 5 is about 2.2
The square root of 8 is about 2.8
pi is about 3.14
2 square roots of 5 are about 4.4

The numbers are also placed in order from least to greatest.

8 0

3 years ago