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shepuryov [24]
3 years ago
6

Solve the following inequality for n. Write your answer in simplest form. 1+4(-6n-4)<10n+4-n

Mathematics
1 answer:
liberstina [14]3 years ago
8 0

Answer

n>- 19/33

1 Simplify  10n+4-n10n+4−n  to  9n+49n+4.

1+4(-6n-4)<9n+41+4(−6n−4)<9n+4

2 Expand.

1-24n-16<9n+41−24n−16<9n+4

3 Simplify  1-24n-161−24n−16  to  -24n-15−24n−15.

-24n-15<9n+4−24n−15<9n+4

4 Add 24n24n to both sides.

-15<9n+4+24n−15<9n+4+24n

5 Simplify  9n+4+24n9n+4+24n  to  33n+433n+4.

-15<33n+4−15<33n+4

6 Subtract 44 from both sides.

-15-4<33n−15−4<33n

7 Simplify  -15-4−15−4  to  -19−19.

-19<33n−19<33n

8 Divide both sides by 3333.

-\frac{19}{33}<n−

​33

​

​19

​​ <n

9 Switch sides.

n>-\frac{19}{33}n>−

​33

​

​19

​​  

Done

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Pls solve part b) iii thanks
Viktor [21]

The bearing of the tree from Q is 296.565°

<h3>How to determine the height of the tree?</h3>

The figure that illustrates the bearing and the distance is added as an attachment

The given parameters are:

Base of the tree, b = 50 meters

Angle (x) = 32 degrees

Calculate the height (h) of the tree using:

tan(x) = height/base

So, we have:

tan(32°) = h/50

Make h the subject

h= 50 × tan(32°)

Evaluate

h = 31.24

Hence, the height of the tree is 31.24 meters

<h3>How to determine the distance between Q and the base of the tree?</h3>

The distance (d) between Q and the base of the tree

This is calculated using the following Pythagoras theorem

d = √(100² + 50²)

Evaluate

d = 111.80

Hence, the distance between Q and the base of the tree is 111.80 meters

<h3>How to determine the angle of elevation?</h3>

The angle of elevation (x) using the following tangent trigonometric ratio

tan(x) = h/d

This gives

tan(x) = 31.24/111.80

Evaluate the quotient

tan(x) = 0.2794

Take the arc tan of both sides

x = 15.61

<h3>The bearing of the tree from Q </h3>

This is calculated using:

Angle of bearing = 270 + arctan(50/100)

Evaluate the arc tan

Angle of bearing = 270 + 26.565

Evaluate the sum

Angle of bearing = 296.565

Hence, the bearing of the tree from Q is 296.565 degrees

Read more about bearings at:

brainly.com/question/24142612

#SPJ1

4 0
2 years ago
Line joins ordered pairs negative 4, 3, 2, negative 3. Second joins negative 4, negative 3, 2, 3. A shaded above first second li
xxMikexx [17]

Answer

That should be it!

Step-by-step explanation:

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6 0
3 years ago
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Chan hee bought 3.4 pounds that cost 6.95 per pound how much did he spend on coffee? sl
Aleks [24]
1 pound of coffee costs 6.95
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8 0
3 years ago
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Suppose the function f(x) =6x +4 represents the number of cars that dive in x minutes. How many cars will drive in ten minutes?
marin [14]
<span>f(x) =6x +4  replace x with 10 and solve

f(x)= 6(10) + 4

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3 years ago
Charlotte drove 304 miles in 8 hours. If she continued at the same rate, how long
Pani-rosa [81]

Answer:

38

Step-by-step explanation:

I divided 304 by 8 and got 38. So it would take 38 minutes for her to drive 190 (MIght not make sense but thats it)

7 0
3 years ago
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