In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th.

Solution given:

Y=90°

∠X=73°.

∠ZWY=80°

and XW=80.

ZY=?

We know that

In right angled triangle ∆ XYZ

Tan 73=

3.27=

3.27×[xy]=yz

xw+wy=

wy=-80...........(1)

again

In right angled triangle WYZ

Tan 80=

5.67×wy=yz

wy=

yz=5.67×wy............................................(2)

Equating equation 1&2

=-80

-=80

5.67yz-3.27yz=80*5.67*3.27

2.4yz =1483.272

yz=

yz=618.03

:.y=618.03unit.the length of ZY to the nearest 100th is 618.

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

b

step-by-step explanation:

the total is 23.97. 0.25% is off so you have to subtracting 25% from 100% and you will get 75% if you convert it to decimal you will get 0.75. you have to find the original because the formula is % times original = total.so you have the total and the % so you just have to plug it in.