Which of the following is equal to cos 40 degrees?
1 answer:
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Answer:
246.3%
the complete question is found in the attached document
Step-by-step explanation:
1st step:
using 1936 data,
w1= 356% = 3.56(356/100) , H= 79 feet
specific gravity = 2.65
Sₓ= 100%= 1
initial void ratio(e₀)= (w1 x specific gravity)/Sₓ
=3.56 x 2.65/1 = 9.434
2nd step
using 1996 data
ΔH= 22ft
ΔH/H = Δe/(1 + e₀)
22/79 = Δe/(1+9.434)
0.278=Δe/10.434
Δe= 0.278 x 10.434
Δe= 2.905
Δe= e₀ - eₓ
eₓ= e₀-Δe
eₓ= 9.434 - 2.905
eₓ= 6.529
3rd step
calculating water content in 1996
eₓ =6.529, specific gravity= 2.65, Sₓ= 100%
W2 X 2.65 = 1 x 6.529
w2 = 6.529/2.65 = 2.463 = 246.3%
Answer:
<em>119.0 cm²</em>
Step-by-step explanation:
What is surface area
It is the area of the outside part of anything. Surface area is also called total surface area.
As we can see from the pyramid, it has a square base. How do I know that it is a square base, is by seeing the dimensions of the base, which are 6.4 cm by 6.4 cm in this pyramid. And we already know from basic Geometry that a square has 4 equal sides. So we call it a square pyramid.
So to find the total surface area of this square pyramid, we need the area of the 4 triangular faces and the area of the square base.
So t.s.a of the pyramid = 4 × Area of each triangular face + Area of the square base.
So, total surface area = Area of square base + Area of the four triangular faces.
<em>total surface area</em> = (<em>length²) + (</em>4 × × <em>base × height)</em>
<em> t</em><em>otal surface area =</em><em> </em>(6.4 × 6.4) + (4 × × 6.4 × 6.1)
<em>total surface area = 40.96 + 78.08</em>
<em> total surface area = 119.04 cm² ≈ 119.0 cm² (to the nearest tenth) (Answer)</em>