Answer:
x = 30°
The angles:
- 2x° = 60°
- 3x° = 90°
- x° = 30°
Step-by-step explanation:
Hello!
The sum of all the angles in a triangle is 180°. So we can set up an equation for this question.
Solve the equation:
- 2x° + 3x° + x° = 180°
- 6x° = 180°
- x° = 30°
We can replace 30° for all the angles.
The measures are:
- 2(30°) = 60°
- 3(30°) = 90°
- 1(30°) = 30°
You can put h on -1 and sum on 0.4. Also, you put 1.4 in the wrong place. It should be three more places to the right.
Answer:
Step-by-step explanation:
Given:
elongation, x = 0.50 in
Force, f = 9000 lb
Young modulus, E = 10,000,000 psi
Maximum Stress, Sm = 30000 psi
Length, L = 16 ft
Converting ft to in,
12 in = 1 ft
=16 × 12 = 192 in
Young modulus, E = stress/strain
Stress = force/area, A
Strain = elongation, x/Length, L
E = f × L/A × E
1 × 10^7 = stress/(0.5/16)
= 26041.7 psi
Minimum stress = 26041.7 psi
Maximum stress = 30,000 psi
Stress = force/area
Area = 9000/26041.7
= 0.3456 in^2
Stress = force/area
Area = 9000/30000
= 0.3 in^2
Using minimum area of 0.3 in^2,
A = (pi/4)(d^2)
0.3 in^2 = (pi/4)(d^2)
d = 0.618 inches
diameter, d = 0.618 inches