Answer: The two triangles are similar because the angles are congruent.
Step-by-step explanation: If you add the given measures of the angles given, then subtract from 180, the remainder is equal to the measure of the angle given for the other triangle.
180 - (103 + 22) = 55
180 - (22 + 55) = 103
So both triangles have the same angle measurements.
Answer:
$420
Step-by-step explanation:
130x12=1560
165x12=1980
1980-1560=420
Answer:
2,800
A = 2000(1 + (0.1 × 4)) = 2800
A = $2,800.00
Remember, the slope formula is y2-y1 over x2-x1. To plug numbers into the formula, find two points. Then, you substitute the points into the formula.
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
