Answer:
Lines p and q and parallel as angle 1 = angle 2 (congruent to)
Step-by-step explanation:
Angle one and angle 2 are alternate exterior angles
Answer:
Step-by-step explanation:
a² + b² = c²
side1² + side2² = hypotenuse² side 1 = 6.75 hypotenuse = 11.25
solve for side 2 = ???
side2² = hypotenuse² - side1²
side2 =
= √(11.25² - 6.75²)
= √(126.56 - 45.56)
= √(81)
side 2 = 9
<u>Answer:</u>
time required = 26 min
<u>Step-by-step explanation:</u>
To solve this, let's first list all the given information, and change the units to millimeters (mm) if required (because the discharge rate is given in mm/s):
○ diameter of pipe = 64 mm ⇒ radius = 32 mm
○ water discharge rate = 2.05 mm/s
○ diameter of tank = 7.6 cm = 76 mm ⇒ radius = 38 mm
○ height of tank = 2.3 m = 2300 mm.
Now, let's calculate the cross-sectional area of the pipe:
Area = πr²
⇒ π × (32 mm)²
⇒ 1024π mm²
Next, we have to calculate the volume of water transferred from the pipe to the tank per second. To do that, we have to multiply the pipe's cross-sectional area and the discharge rate of the water:
Volume transferred = 1024π mm² × 2.05 mm/s
⇒ 6594.83 mm³/s
Now. let's find the volume of the cylindrical tank using the formula:
Volume = π × r² × h
⇒ π × (38)² × 2300
⇒ 10433857 mm³
We know that 6594.83 mm³ of water is transferred to the tank every second, so to fill up 10433857 mm³ with water,
time required =
⇒ 1582.12 s
⇒ 1582.13 ÷ 60
≅ 26 min
30 chairs are represented
The answer is 18 . I hope this helps .