Answer: 3528.25
Step-by-step explanation:Make a sideview sketch
you should have 2 triangles, one right-angled containing the height and a scalene triangle with angles 24° , 153° (the supplement of 27°) and 3°
the side opposite the 3° angle is 1000
by let the side opposite the 24° be x, (also the hypotenuse of the right-angled triangle)
x/sin24 = 1000/sin3
x = 1000sin24/sin3
let the height of the mountain be h
sin 27 = h/x
h = x sin27 = (1000sin24/sin3)(sin27)
= 3528.25
After a first glance you can see that 3x^2 - 75 is not a difference of squares in the current form, because for one 3 and 75 are not squares.
So we'll have to see if we can factor something out of both of them. The only number it can be is 3, because the only number besides 3 that goes into 3 is 1.
So is there any number that can multiply by 3 to equal 75?
If you said 25 then you are correct. :p
So then our problem would look like this:
3(x^2 - 25)
Now we have a difference of squares!
Remember a difference of squares can be factored like this!
(a^2 - b^2) = (a - b)(a + b)
3(x - 5)(x + 5)
Is our answer!
Step-by-step explanation:
c²=24²+45²=2601
so c=51
Formula 1 mi =in * 63,360
So 0.9*63,360= 57024 inches
Answer:
805.53312
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