We can use the sine inverse to find theta.....
sin-1 (.557) = theta = about 33.85 ° ....be aware that this could be a 33.85 ° reference angle in the second quadrant, too....
16d-(4-5d)=-67 simplify
16d - 4 + 5d = -67
21d - 4 = -67 add 4 to both sides
21d = - 63 divide both sides by 21
d = -3
I = P * r * T and we have
1000 = 2000 * r * 10
1000 = 20000 * r divide both sides by 20000
.1/20 = .05 = 5% = r
x^3 = (1 / 8) take the cube root of both sides
x = 1 / 2
How about .......
3.5 + 3.5 ?????
Vsphere =(4/3)pi *(d/2)^3 = (4/3)pi * (8.6 / 2)^3 = about 333 in^3 [to the nearest tenth]
Key your number into the onsite calculator and hit " =".....it will give you the scientific notational form
The ladder forms the hypotenuse of a right triangle and the distance from the wall forms one of the legs......the the distance that the ladder reaches up the wall forms the other leg....let this = L
And from the Pythagorean Theorem, we know that
6^2 + L^2 = 10^2
36 + L^2 = 100 subtract 36 from both sides
L^2 = 100 - 36
L^2 = 64 take the square root of both sides
L = 8 ft
Let L be the other leg length...and we have
8^2 + L^2 = (L + 2)^2 simplify
8^2 + L^2 = L^2 + 4L + 4 subtract L^2 from both sides
64 = 4L + 4 subtract 4 from both sides
60 = 4L divide both sides by 4
15 ft = L and the hypotenuse is L + 2 = 17 ft
Let x be the first page and x + 1 be the facing page.....and we have
x (x + 1) = 272
x^2 + x - 272 = 0 factor
(x + 17) (x - 16) = 0 only the second factor yields a positive answer when we set it to 0
So.....pages 16 and 17 produce the desired result !!!!
