12 + z = 15 Does anyone know thisplease
1 answer:
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Answer:
10.4 cm
Step-by-step explanation:
The volume (V) of a pyramid is calculated using
V = area of base × height (h)
area of square base = 6² = 36, thus
× 36h = 120
12h = 120 ( divide both sides by 12 )
h = 10 cm
To find the slant height (s) consider the right triangle from the vertex to the midpoint of the base and from the midpoint of base to the side.
That is a right triangle with hypotenuse s and legs 10(h) and 3 (midpoint of the base )
Using Pythagoras' identity then
s² = 10² + 3² = 100 + 9 = 109
Take the square root of both sides
s = ≈ 10.4 cm
Answer:
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Answer:
The total volume of the water in the tank after 20 minutes = 1220 gallons
Step-by-step explanation:
Rate of water pumped into the tank r (t) = 30 (1 - )
Initial volume of water in the tank = 800 gallons
The water in the tank after 20 minutes = Initial volume of water in the tank + Volume of water being pumped in the tank
=
Where a = 0 , b = 20
Put the value of r (t) in above equation we get
=
=
=
= 420 gallon
Now, total volume in the tank
Therefore the total volume of the water in the tank after 20 minutes = 1220 gallons