1. a wall is made up of four elements, as follows: ½” wood siding r = 0.81 ½” plywood sheathing r = 0.62 3½” fiberglass insulation r = 10.9 ½” sheetrock r = 0.45 (units of r-value are ft2-hr-of/btu) a. what is the total r-value of the wall? b. what is the r-value if no insulation is installed? c. in which direction (in or out) would the heat flow when the outside temperature is 90of and the temperature inside is 70of?

Part A)

Since all four resistors are made up of different elements and connected in series

SO in series the net resistance is given by

Part B)

If insulation is removed then resistance due to three materials

Part c)

Heat will always flow from High temperature to low temperature

So here heat flow is from 90 degree F to 70 degree F

so it will flow from outside to inside

i think it because equal matrices have equal dimensions, only square matrices can be symmetric. for all indices and . every square diagonal matrix is symmetric, since all off-diagonal elements are zero. in linear algebra, a real symmetric matrix represents a self-adjoint operator over a real inner product space.

the working equation for the angular size is the product of the physical size and 360 degrees divided by the product of two pi and distance from earth. the minimum size would be 0.559 degrees while the maximum size would be 0.49 degrees.