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lorasvet [3.4K]
4 years ago
6

What is the inequality using X Solve the inequality

Mathematics
2 answers:
vivado [14]4 years ago
8 0
The inequality should be 4x + 6 > 30
4 times x is 4x, and if anything is greater then smth, you should use > if that number is on the left.
to solve, just do what u would do in algebra, except charging the = into >
4x + 6 > 30
4x > 30 - 6
x > 24/4
x > 6
tatuchka [14]4 years ago
7 0
Answer:  <span> x  >  6</span>  .
_________________________
Explanation:
_________________________

4x + 6 <span> > 30 ;  Solve for "x" ; 
_________________________

Subtract "6" from both sides of the inequality:
____________________________________
4x + 6 </span>− 6 > 30 − 6 ;  to get:
____________________________________
       4x  > 24 ;
____________________________________
Divide EACH SIDE of the inequality by "4" ; to isolate "x" on one side of the inequality; and to solve the inequality (for "x") ; 
__________________________________
        4x / 4 > 24 / 4 ;  to get:
__________________________________
            x  >  6  .
__________________________________
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Answer:

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Step-by-step explanation:

If we pick a random point within the circle, it can fall in the white area or in the pink area. Since the sum of both areas makes the sample space or the total area of the circle, we can compute the probabilities according to the ratio of the areas with respect to the total area, that is:

\text {Probability of falling in the white area} = \frac{\text{White area}}{\text{Circle area}}

The area of the circle is  

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The area of both the triangles is

A_t=2*\frac{bh}{2}

Where r=4 cm, b=3 cm, h= (4+2.5) cm = 6.5 cm

Then we have:

A_c=\pi 4^2=16\pi \ cm^2=50.27\ cm^2

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A_w=A_c-A_t=50.27-19.5=30.77\ cm^2

So the probability is

P=\frac{30.77}{50.27}=0.61

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