Write the equation of the line perpendicular to , passing through the point (6,1). 8. Find the value of k such that the linear equations and are parallel. 9. Given 10.
Notice that the angle of incidence at the first surface is equal to the angle of refraction at the second surface. Prove algebraically (using Snell’s Law twice) why this is true. n1sin θ1=n2sin θ2 n2sin θ2=n1sin θ3 n1sin θ1=n1sin θ3 sin θ1=sin θ3 5. Do different colors refract at different angles? No, difference colors do not refract at different angles.
* Dim cost1 As Integer = 0 7. Write a pseudocode statement that assigns the value27 to the variable count. * Dim count As Integer = 2 8. Write a pseudocode statement that assigns the sum of 10 and 14 to the variable total. * Total = 10 + 14 9.
These are the only possibilities. isometric drawing Finding the Answer orthographic drawing 5. Are there other nets that have three or four triangles that share an edge with the square base? Explain. No; any other such net can be superimposed on one of the nets from Step 3 by a flip or a rotation.
Given: sides, 5,6,7 in miles Island A = 78.46° Island B = 135.58° Island C = 57.12° Given the information… From Island B I would travel a Northwest Bearing to Island C. 8. Heron’s formula: sq.root of {s(s-a)(s-b)(s-c)} Sqrt((a^2+b^2+c^2)^2 - 2 (a^4+b^4+c^4))/4 = sqrt ((25+25+16)^2-2(625+625+256))/4 = sqrt ((66)^2-3012)/4 = sqrt (4356-3012)/4 = 36.66060556/4 = 9.16515139 square feet 9 feet
If a point inside the figure is chosen at random, what is the probability that the point is inside the shaded region? Find the ratio of the area of the shaded region to the area of the entire semicircle. The area of a 1 semicircle is __πr 2. 2 First, find the area of the entire semicircle. 1 A t = _π(3 2) = 4.5π Total area of largest semicircle 2 Next, find the unshaded area.
Intensity of light vs Distance Background information: Inverse square law: Inverse square law describes the relationship between the intensity of light and the distance from the light source. The further away you are from the light source, the less intense it will be. Light intensity (lux): It is a measure of the wavelength- weighted power emitted by a light source in a particular direction. Inversely proportionate: If a graph is inversely proportionate, it means the graph must be a straight line (y=mx+b or y=kX) and it must pass the origin (0,0). Attenuation: Weakening in force or intensity.
The demensions are a base of 30.9m by 69.5m. The Parthenon featured an octastyle, or 8 column arrangement at both narrow ends, with 17 columns along the wider sides. The architects used the common ratio of 9:4 for the side columns and for the spaces between the columns, although strayed from strict geometric principles for design purposes like the columns’ slight curving upward toward the cella, and a bowing in the floor, raising the centre about four inches higher than either end. This made the Parthenon appear straight from a distance. The octastyle façade, capped with a triglyph, is comparable to the entrance design of the Pantheon built by Hadrian, who was said to be a big fan of Greek architecture.
Definition of System of Non-Linear Equations Non-linear equations involve two or more equations of the second degree in the form Ax2 + Bxy + Cy2 + Dx + Ey + F = 0. Non-linear curves are circle, parabola, ellipse, and hyperbola. Possible non-linear equations involve the combinations of the equations of the circle, parabola, ellipse, and hyperbola.
Explanation #2 'Framing effects hypothesis’, which says that the difference in the separation or gap of the horizontal lines from the framing converging lines may determine, or at least contribute to the magnitude of the distortion. In this explanation, we compare those two lines through the gap. We assume that the lower line is shorter beacause its length is in the gap, and the other line is long enough to beyond the gap.