You can use the similarity approach of these two triangles CBD and CAE
as a result:

so:
? = 6x^2 / 10 = 0.6 x^2
and the fact of:
"The
segment connecting the midpoints of two sides of a triangle is parallel to the
third side and equals its half length"
so:BD = 0.5 AE 10 = 0.5 * 2x >>> x= 10
Back to:
? =0.6 x^2 = 0.6 * 10^2 = 0.6 * 100 = 60
AHope that helps
Answer:
7.8432 × 10^-13
Step-by-step explanation:
Answer:
Use the Pythagorean Theorem to find the diagonal:

Answer:
82.79MPa
Step-by-step explanation:
Minimum yield strength for AISI 1040 cold drawn steel as obtained from literature, Sᵧ = 490 MPa
Given, outer radius, r₀ = 25mm = 0.025m, thickness = 6mm = 0.006m, internal radius, rᵢ = 19mm = 0.019m,
Largest allowable stress = 0.8(-490) = -392 MPa (minus sign because of compressive nature of the stress)
The tangential stress, σₜ = - ((r₀²p₀)/(r₀² - rᵢ²))(1 + (rᵢ²/r²))
But the maximum tangential stress will occur on the internal diameter of the tube, where r = rᵢ
σₜₘₐₓ = -2(r₀²p₀)/(r₀² - rᵢ²)
p₀ = - σₜₘₐₓ(r₀² - rᵢ²)/2(r₀²) = -392(0.025² - 0.019²)/2(0.025²) = 82.79 MPa.
Hope this helps!!
Answer:
Length of side AB = 5.6 cm
Step-by-step explanation:
From the figure attached.
In right triangle ABC,
m∠ABC = 62°
m(BC) = 12 cm
By applying Cosine rule in this triangle,
Cos62° = 
Cos62°= 
0.46947 = 
AB = 12 × 0.46947
AB = 5.63
≈ 5.6 cm
Therefore, length of side AB = 5.6 cm