Answer:
z = -17
Step-by-step explanation:
If the average of x and y is 11, then;
x+y/2 = 11
x+y = 2 + 11
x+y = 22 .... 1
similarly, if average of x, y and z is 5, then;
x+y+z/3 = 5
x+y+z = 3*5
x+y+z = 15
Since x+y = 22
22 + z = 5
z = 5 - 22
z = -17
Hence the value of z is -17
Step-by-step explanation:
law of cosine :
c² = a² + b² - 2ab×cos(C)
with c being the side opposite of C.
so, in our case
3² = 3² + 3²×3 - 2×3×3×sqrt(3)×cos(A)
0 = 3²×3 - 18×sqrt(3)×cos(A)
27 = 18×sqrt(3)×cos(A)
cos(A) = 27/(18×sqrt(3)) = 3/(2×sqrt(3)) =
= 0.866025404...
A = 30°
FYI : since it is an isoceles triangle, C = A = 30°.
and therefore B = 180 - 30 - 30 = 120°.
as the sum of all angles in a triangle is always 180°.
As <em>x</em> → 10 from above, <em>h(x)</em> is steadily approaching 18.5.
If n=250, then 50% of n can also be described as n divided by 2.
50% of n = 250/2 = 125
answer: 125
