Does anyone know the answer to this please help !!!!

Mathematics

1 answer:

bulgar [2K]4 years ago

5 0

The bottom edge of the end triangle has a length that can be computed from the Pythagorean theorem.
.. √(15^2 -12^2) = √(225 -144) = √81 = 9

Then the perimeter of the end triangle is 9 +12 +15 = 36. The lateral area is the product of this and the length of the prism:
.. lateral area = 36*20 = 720

The two end triangles will have a total area of
.. end area = 9*12 = 108

The surface area is then
.. surface area = lateral area + end area
.. = 720 +108 = 828 . . . . . square units

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ch4aika [34]

Answer:

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4 years ago

Solve 12^x^2+5x-4 = 12^2x+6

faust18 [17]

The solutions for ‘x’ are 2 and -5

Step-by-step explanation:

Given equation:

$12^{x^{2}+5 x-4}=12^{2 x+6}$

Since the base on both sides as ‘12’ are the same, we can write it as

$x^{2}+5 x-4=2 x+6$

$x^{2}+5 x-2 x-4-6=0$

$x^{2}+3 x-10=0$

Often, the value of x is easiest to solve by $a x^{2}+b x+c=0$ by factoring a square factor, setting each factor to zero, and then isolating each factor. Whereas sometimes the equation is too awkward or doesn't matter at all, or you just don't feel like factoring.