In the triangle if p = 302 inches, q = 237 inches and r = 465 inches , by using cosine rule you can find θ.
r^2 = p^2 + q^2 -2pq*cosθ.
i need some help with my math homework. i don't know what to do
heres question #1:
i made a picture of it including the measurements from the sheet:A new rectangle with the word “STROM” is to be constructed inside the mat of an outside rectangle. The width of the mat surrounding the rectangular “STROM” logo will be the same. The area of the boundary around the word “STROM” will be the same as the logo itself. Determine the uniform width of the boundary.
here's question #2:
Staff and students at a school have been complaining about the location of the water fountains. You must decide if one or both fountains need to be relocated.
Calculate the measure of angle 0, formed by the "line of sight" from the middle of the double doorway to the water fountains on the opposite wall.
plz explain to me how I solve these step-by-step so I can understand it and learn from it for my quiz tomorrow, thanks!
The width of the border (call it "w") around the enclosed rectangle is to have the same area as the inside rectangle.
Gross area: = the Total Area of the outside rectangle.
The length of the inner rectangle is: 294.5 - 2w
The width of the inner rectangle is 72 - 2w
The area of the inner triangle is to be 1/2 the total or A/2
Putting it together:
Expanding the LHS
&
Use the quadratic formula and solve for x.