Read the numbers and decide what the next number should be. 256 196 144 100 64 36 16

Mathematics

2 answers:

ICE Princess25 [194]4 years ago

6 0

Answer:

The next number is $4$

Step-by-step explanation:

we have

$256, 196, 144, 100, 64, 36, 16,...x$

we know that

$256-196=60$

$196-144=52=60-8$

$144-100=44=52-8$

$100-64=36=44-8$

$64-36=28=36-8$

$36-16=20=28-8$

therefore

The next number is equal to

$16-x=20-8$ ------> solve for x

$16-x=12$

$x=16-12=4$

Tatiana [17]4 years ago

4 0

340? TBD add the two numbers.

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weeeeeb [17]

See diagram
I wrote that the degrees are 70 each because it is isocolese and 140/2=70

a.
to solve for the diagonal, I'm going to use trig to find the height and the base then use pythagorean theorem to find the diagonal

so
see I've drawn an auxiliry line to make a right triangle on the leftmost side
so
we want to find the height and base
sin(70°)=h/7
so 7sin(70°)=h≈6.57785

cos(70°)=base/7
so 7cos(70°)=base≈2.39414

now
the entire long base is 22, so that big triangle with the diagonal as the hyptonuse is 22-2.39414=19.6059
use pythagorean theorem, like 6.57785²+19.6059²=diagonal²
we get that the diagonal is about 20.68ft

b.
we got that the base was 7cos(70°)
2 of those bases so 22-14cos(70°)=17.2117ft or rounded 17.21ft

a. 20.68ft
b. 17.21ft