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liraira [26]
3 years ago
11

-4x <8 solve the inequality

Mathematics
1 answer:
katovenus [111]3 years ago
6 0

Answer:

x>−2

Step-by-step explanation:

−4x<8

Step 1: Divide both sides by -4.

−4x

−4

<

8

−4

x>−2

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Solve
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The correct answer would be $204.80 because if she keeps doubling whats in the bank the amount after the $ .20 then it would be doubled to $ .40 and so on
5 0
3 years ago
Use the sum and difference identities to find the exact values of the sine, cosine, and tangent of the angle. . 165 = 135 + 30
Serhud [2]
So lets get to the problem 

<span>165°= 135° +30° </span>

<span>To make it easier I'm going to write the same thing like this </span>
<span>165°= 90° + 45°+30° </span>

<span>Sin165° </span>
<span>= Sin ( 90° + 45°+30° ) </span>
<span>= Cos( 45°+30° )..... (∵ Sin(90 + θ)=cosθ </span>
<span>= Cos45°Cos30° - Sin45°Sin30° </span>

<span>Cos165° </span>
<span>= Cos ( 90° + 45°+30° ) </span>
<span>= -Sin( 45°+30° )..... (∵Cos(90 + θ)=-Sinθ </span>
<span>= Sin45°Cos30° + Cos45°Sin30° </span>


<span>Tan165° </span>
<span>= Tan ( 90° + 45°+30° ) </span>
<span>= -Cot( 45°+30° )..... (∵Cot(90 + θ)=-Tanθ </span>
<span>= -1/tan(45°+30°) </span>
<span>= -[1-tan45°.Tan30°]/[tan45°+Tan30°] </span>

<span>Substitute the above values with the following... These should be memorized </span>
<span>Sin 30° = 1/2 </span>
<span>Cos 30° =[Sqrt(3)]/2 </span>
<span>Tan 30° = 1/[Sqrt(3)] </span>
<span>Sin45°=Cos45°=1/[Sqrt(2)] </span>
<span>Tan 45° = 1</span>
4 0
3 years ago
5+2 root 3 / 7+4 root 3 =a-6root3
STALIN [3.7K]

Answer:

<h2>a = 11</h2>

Step-by-step explanation:

\dfrac{5+2\sqrt3}{7+4\sqrt3}\qquad\text{use}\ (a+b)(a-b)=a^2-b^2\\\\=\dfrac{5+2\sqrt3}{7+4\sqrt3}\cdot\dfrac{7-4\sqrt3}{7-4\sqrt3}=\dfrac{(5+2\sqrt3)(7-4\sqrt3)}{7^2-(4\sqrt3)^2}\qquad\text{use FOIL}\\\\=\dfrac{(5)(7)+(5)(-4\sqrt3)+(2\sqrt3)(7)+(2\sqrt3)(-4\sqrt3)}{49-4^2(\sqrt3)^2}\\\\=\dfrac{35-20\sqrt3+14\sqrt3-8(3)}{49-(16)(3)}=\dfrac{(35-24)+(-20\sqrt3+14\sqrt3)}{49-48}\\\\=\dfrac{11-6\sqrt3}{1}=11-6\sqrt3

8 0
3 years ago
An audio cable is 15.9 dm long. How long is the cable in meters?
sveta [45]

1.59 meters is the correct answer i think.

3 0
3 years ago
Read 2 more answers
a school band ordered hats for $3 and large t-shirts for 5$ they bought 150 items in all tor $590. graph a system of equations t
ikadub [295]
H=hats
s=shirts
Here, you need to do 2 equations.
h+s=150
3h+5s=590
3h+5(150-h)=590
3h+750-5h=590
-2h=-160
h=80
150-80=70 so s=70

i am sorry, this is all i know, but you need to make an equation to graph it.
5 0
3 years ago
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