A given shape that is <u>bounded</u> by three sides and has got three <em>internal angles</em> is referred to as a <u>triangle</u>. Thus the <em>value</em> of PB is <u>8.0</u> units.
A given <u>shape</u> that is <em>bounded</em> by three <em>sides</em> and has got three <em>internal angles</em> is referred to as a <em>triangle</em>. Types of <u>triangles</u> include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The<em> sum</em> of the <u>internal</u> <u>angles</u> of any triangle is
.
In the given question, point P is such that <APB = <APC = <BPC =
. Also, line PB bisects <ABC into two <u>equal</u> measures. Thus;
<ABP = 
Thus,
<ABP + <APB + <BAP = 
30 + 120 + <BAP = 
<BAP =
- 150
<BAP = 
Apply the <em>Sine rule</em> to determine the <u>value</u> of <em>PB</em>, such that;
= 
= 
BP = 
= 
BP = 8.0
Therefore, the <u>value</u> of <u>BP</u> = 8 units.
For more clarifications on applications of the Sine rule, visit: brainly.com/question/15018190
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Hello :
<span>g(x) = 5x² - 50x + 128
= 5(x²-10x +128/5)
= 5 (x²-10x+5²-5² +128/5)
= 5 ((x-5)² +128/5 -125/5)
y = 5 ((x-5)² - 3/5)
y= 5(x-5)² +3.....vertex form
the vertex is : (5,3)</span>
I would compute sqrt(1 + 160pi^2) first to get approximately 39.75093337
Add this to 1 and we have 40.75093337
Then divide over 2pi to get a final approximate result of 6.48571248
So x = 6.48571248 is one approximate solution
In short, I computed
only focusing on the plus for now.
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If you were to compute
you should get roughly -6.167402596 as your other solution. Each solution can then be plugged into the original equation to check if you get 0 or not. You likely won't land exactly on 0 but you'll get close enough.