Answer:

Step-by-step explanation:
Given:


Substitution can be used to find the value of
:




Hope this helps :)
This is the answer. 4.375x
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>
Answer:
TSA=6a²
TSA=6*17*17=1734 mm²
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Step 1: find the derivative of y = x^2 + 12x - 7; it is 2x + 12.
This function represents the slope of the tangent line to the given curve at x.
Step 2: Substitute 4 for x in f '(x) = 2x + 12: f '(4) = 2(4) + 12 = 20
The slope of the tangent line to the graph of y = x^2 + 12x - 7 at x = 4 is 20.