After simpiflying an equation, Juana gets 6=6. explain what this means
2 answers:
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Check the picture below.
we know that AL is an angle bisector, so the angle at A gets cuts into two equal halves, we also know the angle at B is 30°, so the triangle ABC is really a 30-60-90 triangle, meaning the angle at A is really a 60° angle, cut in two halves gives us 30° and 30° as you see in the picture.
if the angles at A and B, inside the triangle ABL, are equal, twin angles are only made in an isosceles by twin sides, that means that AL = BL.
Looking at the triangle ALC, we can see is also another 30-60-90 triangle, and we can just use the 30-60-90 rule to get x=CL.
Answer:
Step-by-step explanation:
we are given surface area and the length of the square base
we want to figure out the Volume
to do so
we need to figure out slant length first
recall the formula of surface area
where B stands for Base area
and P for Base Parimeter
so
now we need our algebraic skills to figure out s
simplify parentheses:
reduce fraction:
simplify multiplication:
cancel 64 from both sides;
divide both sides by 16:
now we'll use Pythagoras theorem to figure out height
according to the theorem
substitute the value of l and s:
simplify parentheses:
simplify squares:
cancel 16 from both sides:
square root both sides:
recall the formula of a square pyramid
where A stands for Base area (l²)
substitute the value of h and l:
simplify multiplication:
reduce fraction:
hence,