Answer:
9.5 * 10^-2 mm
Step-by-step explanation:
To find the total thickness, we proceed to add the two thickness that we have
Mathematically, this will be;
0.025 mm + 7 * 10^-2 mm
7 * 10^-2 mm = 0.07
So we have;
0.025 mm + 0.07 mm = 0.095
In scientific notation, this is 9.5 * 10^-2 mm
The area of triangle ADE is probably half of triangle ABC, so the perimeter would be 15 units, and the area would be 45 units squared.
Based on my little knowledge of statistics
4.
It's 8!/4!= 1680
(the exclamation point is basically the number of probabilities in the combination)
5.
(speculation) It's 10!-6!= 3,628,080
plus
8!-6!=39,600
equals
(3,628,080 + 39,600) / 6! = 5094
(the 6! is the amount of drink combinations you are limited to)
FYI- you can use the exclamation mark on your phone calculator, either swipe to side or press the ''extras'' button
Answer:
BZ = 64/23 = 2 18/23
Step-by-step explanation:
The angle bisectors divide the triangle into proportional parts, so we have ...
CB/CY = AB/AY
CB = CY(AB/AY) = 4(8/6) = 16/3 . . . . multiply by CY and evaluate
and ...
BZ/CB = AZ/AC
BZ = AZ(CB/AC) . . . . multiply by CB
But we have ...
AZ = 8 -BZ, so this becomes ...
BZ = (8 -BZ)(16/3)/(10)
BZ(1 +8/15) = 64/15 . . . . add the BZ term on the right to both sides
BZ = (64/15)(15/23) = 64/23 . . . . divide by the coefficient of BZ
BZ = 64/23 = 2 18/23
