Answer:
Step-by-step explanation:
Part A. John will not be painting the floor area of that of the door or window openings.
Part B. Subtracting the areas of the floor, door, and window from the total surface area will provide the area to be painted so Judy is correct.
Part C.
We first need to find the area to be painted.
A=floor+2(wall1)+2(wall2)-window-door
A=14(7)+2(7)8+2(14)8-3(6)-3(7)
A=98+112+224-18-21
A=395 ft^2
Since a gallon of paint will cover 350 ft^2
395ft^2(gal/350ft^2)=1.13 gal
John will need approximately 1.13 gallons of paint. (Rounded to nearest hundredth of a gallon)
Answer: 32, -64, 128, -256
Answer:
1) 75
2) 63
Ask if you want more
Step-by-step explanation:
1. Find the "opposite side," if the angle is 60 degrees and the hyp is 6:
opp opp sqrt(3)
sin 60 deg = ------- = -------- = ----------
hyp 6 2
Cross-multiplying, 2(opp) = 6sqrt(3), so that opp = 3 sqrt(3) (answer)
2. Use the Pyth. Thm. to find the "adjacent side:"
[3sqrt(3)]^2 + x^2 = 6^2, or 9(3) + x^2 = 36, or x^2 = 9, or x = 3.
The lengths of the legs of this 30-60-90 triangle are 3 and 3 sqrt(3).
check: Does 3^2 + [3sqrt(3)]^2 = 6^2?
Does 9 + 9(3) = 6^2? YES
Answer:
1). Area = 37 cm²
2). Area = 120 cm²
Step-by-step explanation:
Figures in the picture attached are the examples of composite figures.
1). Area of the composite figure = Area of rectangle A + Area of rectangle B
Since area of rectangle = Length × width
Area of rectangle A = 8 × 2 = 16 cm²
Area of rectangle B = 3 × 7 = 21 cm²
Area of the composite figure = 16 + 21 = 37 cm²
2). Area of the composite figure = Area of C + Area of D
= (3×4) + (9×12)
= 12 + 108
= 120 cm²
