Answer:
0.00998 Inches
Step-by-step explanation:
Thickness of the light bulb filament = 0.01 Inch
Allowable error = 2%.
2% of 0.01 = 0.02 X 0.01 =0.0002 Inch
Therefore, the allowable thickness of the bulb filament

We can then calculate the least allowable thickness of the filament as:

The least allowable thickness of the filament is 0.00998 Inches.
9514 1404 393
Answer:
D. 9
Step-by-step explanation:
The segment lengths are equal, so ...
x^2 = 90-x
x^2 +x -90 = 0 . . . . . . add x-90 to put in standard form
(x +10)(x -9) = 0 . . . . . factor
The solutions are the values of x that make the factors zero: -10, 9.
The positive value of x is 9.
Answer:
B
Step-by-step explanation:
we are given a equation of a line
we want to figure out the equation of the perpendicular line passes through the <u>(</u><u>6</u><u>,</u><u>5</u><u>)</u><u> </u>points
in order to do so
recall that,

we got from our given equation that m=2
because equation of a line is y=mx+b
thus

remember that, when we want to figure out perpendicular line or parallel line we should the formula given by

since we got our perpendicular m is -½,
and
, substitute

to get the perpendicular equation you should simplify the above equation to y=mx+b form
distribute -½:

add 5 to both sides:

hence,
our answer choice is B
Answer:
B
Step-by-step explanation:
Answer: 285.2 kg
Step-by-step explanation:
Given
The volume of helium in the balloon is 
The density of the helium is 
Mass of the helium gas is given by the product of density and volume

Thus, the mass of gas is 285.2 kg