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KIM [24]
3 years ago
8

The measure of two complementary angles are (4x + 3)° and (x + 4)°. What is the measure of the larger angle?

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0

Answer:

69.4 degrees.

Step-by-step explanation:

Complementary angles add up to 90 degrees so we have the equation:

4x + 3 + x + 4 = 90

5x + 7 = 90

5x = 83

x = 16.6

The larger angle = 4x + 3

= 4(16.6) + 3

= 69.4 degrees (answer).

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An AISI 1040 cold-drawn steel tube has an OD 5 50 mm and wall thickness 6 mm. What maximum external pressure can this tube withs
lukranit [14]

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!!

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3 years ago
Use the rewritten formula to find the width of a rectangle with an area of 42 square inches and a length of 16.8 inches.
Leviafan [203]
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Answer:

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Step-by-step explanation:

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