Math question 4! Thanks if you help
1 answer:
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Answer:
Option 2: m∠1 = 147°, m∠2 = 80°, m∠3 = 148°
Step-by-step explanation:
Step 1: Consider triangle ABC from the picture attached below.
Lets find angle x
x + 47 + 33 = 180 (because all angles of a triangle are equal to 180°)
x = 100°
Angle x = Angle y = 100° (because vertically opposite angles are equal)
Step 2: Find angle 2
Angle 2 = 180 - angle x (because angle on a straight line is 180°)
Angle 2 = 180 - 100
Angle 2 = 80°
Step 3: Find angle z
48 + y + z = 180° (because all angles of a triangle are equal to 180°)
z = 32°
Angle 3 = 180 - angle z (because angle on a straight line is 180°)
Angle 3 = 180 - 32
Angle 3 = 148°
Step 4: Find angle 1
Angle 1 = 180 - 33 (because angle on a straight line is 180°)
Angle 1 = 147°
Therefore m∠1 = 147°, m∠2 = 80°, m∠3 = 148°
Option 2 is correct
!!
57 minute will take to fill the tank.
Solution:
Height of the cylinder = 6 ft
Diameter of the cylinder = 6 ft
Radius of the cylinder = 6 ÷ 2 = 3 ft
Volume of the cylinder = πr²h
= 3.14 × 3² × 6
Volume of the cylinder = 169.56 cubic feet
Time taken to fill 3 cubic feet of water = 1 minute
Time taken to fill 169.56 cubic feet of water =
= 56.52 minute
= 57 minute
Hence 57 minute will take to fill the tank.