<u>Though there is no specific requirement, we'll compute the perimeter and area of the shown image.</u>
Answer:
<em>The area is 175 square inches</em>
<em>The perimeter is 60 inches</em>
Step-by-step explanation:
<u>Area and Perimeter</u>
We are given a compound shape and it's required to calculate its area and perimeter.
The perimeter is the sum of all its external side lengths. All of them are given thus:
P = 5 + 5 + 10 + 10 + 15 + 15 = 60
The perimeter is 60 inches
Now for the area, we split the figure into two rectangles, one of dimensions 5 in by 5 in (a square) and the other of 10 in by 15 in.
The total area is:
A = 5*5 + 10*15 = 25 + 150
A = 175 square inches
The area is 175 square inches
Answer:
Option B.
Step-by-step explanation:
From the given table it is clear that the linear function passing through the points (-14,-18) and (-10,-12).
The slope of a linear function is
The given line passing through the points (-14,-18) and (-10,-12), so the slope of the line is
The slope of the required line is
.
Therefore, the correct option is B.
<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
Answer:
A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.
Step-by-step explanation: