When the equation is ax+b which is y =ax+b
Answer:
0
Step-by-step explanation:
Angle x+45 = (145-55) / 2
2x + 90 = 90
2x = 0
x = 0
Answer:
∠ EFG = 83°, ∠ GCE = 97°
Step-by-step explanation:
Since FE and FG are tangents to the circle then
∠ FGC and ∠ FEC are right angles
The sum of the angles in quadrilateral CEFG = 360°
Sum the 4 angles and equate to 360
3x + 11 + 90 + 5x - 23 + 90 = 360, that is
8x + 168 = 360 ( subtract 168 from both sides )
8x = 192 ( divide both sides by 8 )
x = 24
Thus
∠ EFG = 3x + 11 = 3(24) + 11 = 72 + 11 = 83°
∠ GCE = 5x - 23 = 5(24) - 23 = 120 - 23 = 97°
26 by 9
Area = L*W
Area = 26 * 9
Area = 234 square feet but there are 2 such walls
Area = 234 * 2
Area = 468 square feet total for these walls.
18 by 9
Area = L*W
Area = 18 * 9
Area = 162 square feet
Total area = 468 + 162 = 630 square feet.
1 gallon covers 250 square feet
x gallon covers 630 square feet
1/x = 250/630
250 x = 1 * 630
x = 630 / 250
x = 2.52 gallons. It is best that she buy 3 gallons of paint.
Given:
Cylinder: radius = 8 yd; height = 4 yd
Surface Area = 2 π r h + 2 π r²
SA = 2 * 3.14 * 8 yd * 4yd + 2 * 3.14 * (8yd)²
SA = 200.96 yd² + 401.92 yd²
SA = 602.88 yd²
Volume = π r² h
V = 3.14 * (8yd)² * 4yd
V = 803.84 yd³
Dimension is cut in half. radius = 4yds ; height = 2yds
S.A = 2 * 3.14 * 4yd * 2yd + 2 * 3.14 * (4yd)²
S.A = 50.24 yd² + 100.48 yd²
SA = 150.72 yd²
V = 3.14 * (4yd)² * 2yd
V = 100.48 yd³
SA = 602.88 yd² - 150.72yd² = 452.16 yd²
V = 803.84 yd³ - 100.48 yd³ = 703.36 yd³
