2. For the house roof and dormer roof, Pitch-Perfect decides to use a king-post truss configuration as shown in the figure.
Because the porch roof slopes in only one direction, its truss
will be in the shape of a right triangle with only one rafter,
one strut, and one-half of a tie beam. (Think of it as the right
half of the figure shown.). Using the pitch angles from Step 1,
Tie Beam
David must now calculate (a) the rise of the roof (the king-
post length), (b) the rafter length, and (c) the strut length for each of the three sections of the roof. Calculate
these three lengths for each section and write your answers in feet and inches to the nearest inch.

Brent works part-time at a clothing store. he earns an hourly wage of $15. if he needs to earn more than $45 in a day and works for x hours a day, which inequality represents this situation? a. 15x > 45 b. 15x < 60 c. x > 60 d. 15x < 45 e. x < 60

Submarines control how much they float or sink in the ocean by changing the volume of air and water contained in large ballast tanks. when the tanks are completely full of water, the submarine increases its overall mass and sinks down to the bottom. when the tanks are completely full of air, the submarine reduces its overall mass and floats to the surface. depending on the density of the seawater surrounding the submarine, it will pump seawater in or out of the tanks in order to achieve the same overall density as the sea water and float neutrally in the water. the volume of the submarine never changes. when the tanks are completely full of water, a submarine with a volume of 7.8\times10^3\text{ m}^37.8×10 3 m 3 7, point, 8, times, 10, start superscript, 3, end superscript, space, m, start superscript, 3, end superscript has a total mass of 8\times10^6\text{ kg}8×10 6 kg8, times, 10, start superscript, 6, end superscript, space, k, g. the density of the seawater is 10^3\text{ kg/m}^310 3 kg/m 3 10, start superscript, 3, end superscript, space, k, g, slash, m, start superscript, 3, end superscript. to make that submarine float neutrally, and neither float nor sink in the ocean, what volume of water does that submarine need to subtract from its tanks?

Find a third-degree polynomial equation with rational coefficients that has roots -2 and 6+i