2^-5 simplified in decimal form is 0.03125
5^-3 simplified in decimal form is 0.008
10^-4 simplified in decimal form is 0.0001
Answer:
A
Step-by-step explanation:
Here, we want to find the value of ln (-7)
ln is same as Log to base e and mathematically , we have it for positive numbers only
For that of negative numbers, we get undefined results
However, by the use of special mathematical
methods, we have the answer for ln (-7) as;
1.94591015 + 3.14159265 i
As we can see, for the second part, the value for the coefficient of the complex number is pi and thus, we have the correct option as A
Math homework, im excillent at math but dm me
[email protected] and ill sent you the A
Answer:i cant see it good
Step-by-step explanation:
The maximum angle of repose is the<span> maximum angle at which a material can be piled without slumping. The material piled up will form a cone.
If we project the situation on a 2D plane, we get a triangle rectangle (see picture attached). We know one angle and the Opposite side (height) and we need to find the Adjacent side (radius).
Recalling trigonometry formulae:
tan</span>α = O / A
Solving for A:
A = O / tan<span>α
We can now substitute our data (O = 20):
</span>1) Sand, Bank Damp
<span>α = 45°
A = 20 / tan(45)
= 20
The radius is
20 feet.
</span>
2)Sand, Bank Dry
α = 35°
A = 20 / tan(35)
= 28.5629
The radius is
28.6 feet.
3) Sand, core
α = 41°
A = 20 / tan(41)
= 23.0074
The radius is
23 feet.
4) Sand, foundry prepared
α₁ = 30°
A₁ = 20 / tan(30)
= 34.6410
α₂ = 44°
A₂ = 20 / tan(44)
= 20.7106
The radius is between
20.7 and 34.6 feet.
5) Sand, Foundry shakeout
α = 39°
A = 20 / tan(39)
= 24.6979
The radius is
24.7 feet<span>.</span>