A carpenter is making a wooden window frame that has a width of 1 inch. How much wood does the carpenter need to build the frame
1 answer:
Diagram attached
Answer:
5.5+106 square inches
Step-by-step explanation:
The wooden frame has different shapes- semi circle, rectangles and we would have to calculate area of all the shapes to get the wood required.
To get area of the circle, we use the formula π(R²-r²)/2. Subtract the inner radius from the outer radius =
π(6²-5²)/2= 11π/2
=5.5π square inches
We add area of the semi circle to area of the 3 rectangles from the diagram:
2×1×48×10×1=106 square inches
The rectangle with 10 inches is because we subtracted one inch from both sides of the 12 inches rectangle to avoid repetition and overvaluing the area
Total area =5.5π +106 square inches
Options must have ommitted the "π"
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Equations -
Divide -6p using inverse operations!
Answer:
Solutions are (3,1) and (4,2)
Step-by-step explanation:
Graph is shown in the attached sheet
Given are two systems of equations and we have to solve them using graph
For graphing let us first prepare table for x and y.
1)
I line II line
x 0 4.5 3 x 0 2.5 3
y 3 0 1 y -5 0 1
The two lines intersect at (3,1)
Hence solution is (3,1)
--------------------------------------------
2)
I line II line
x 0 2 4 x 0 6 4
y 0 1 2 y 3 0 2
The two lines intersect at (4,2)
Hence solution is (4,2)
