Answer: x<4
Given the inequality:
We want to solve the inequality for x.
First, distribute the bracket on the right side of the inequality.
Next, subtract 10x from both sides of the inequality.
Add 24 to both sides of the inequality.
Divide both sides of the inequality by 6.
The solution to the inequality is x<4.
Answer:
38.7°
Step-by-step explanation:
We can solve the triangle using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where
SOA stands for
Sin Ф = opposite side/hypotenuses side
CAH stands for
Cosine Ф = adjacent side/hypotenuses side
TOA stands for
Tangent Ф = opposite side/adjacent side
The hypotenuse is the side facing the right angle while the opposite is the side facing the given angle.
Considering the triangle with respect to angle x, 8cm is the opposite side, 10cm is the adjacent side
hence
Tan x = 8/10
Tan x = 0.8
x = tan -1 0.8
= 38.7°
Answer:
see below
Step-by-step explanation:
The steps are +2 then *4 then -8 then ÷2
Input is 5
5 +2 =7 *4 = 28-8 = 20 ÷2 = 10 Output is 10
Input is 9
9 +2 =11 *4 = 44-8 = 36 ÷2 = 18 Output is 18
Input is 14
14 +2 =16 *4 = 64-8 = 56 ÷2 = 28 Output is 28
Input is 18
18 +2 =20 *4 = 80-8 = 72 ÷2 = 36 Output is 36
Input is 23
23 +2 =25 *4 = 100-8 = 92 ÷2 = 46 Output is 46
Input is 7.5
7.5 +2 =9.5 *4 = 38-8 = 30 ÷2 = 20 Output is 20
Input is 11.54
11.54 +2 =13.54 *4 = 54.16-8 = 46.16 ÷2 = 23.08 Output is 23.08
Dana can fill 12 planters. Let me know if you want an explanation!
Divide both sides by -3, and replace 
with 
. Then
Factorize the quadratic in to get
which in turn means
But 
for all real 
, so we can ignore the first solution. This leaves us with
If we allow for any complex solution, then we can continue with the solution we ignored:
