Answer:
T = 49
Step-by-step explanation:
T = w - ma
w = 85
m = 12
a = 3
Plug in the corresponding numbers to the corresponding variables:
T = (85) - (12) * (3)
Remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
First, multiply, then subtract:
T = 85 - (12 * 3)
T = 85 - 36
T = 49
T = 49 is your answer.
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The volume of a cone is
V = (1/3)πr³
We are given with radius and the height of cone, so we can solve for the radius as function of water level using ratio and proportion
3/9 = r/h
r = h/3
Substituting
V = πh³/81
Taking the derivative
dV/dt = πh²/27 dh/dt
Solving for dh/dt given
dV/dt = 10 m³/s
and
h = 3 m
dh/dt = 9.55 m/s
The area of a trapezoid if found using the formula
A = (base1 + base2)/2 x height
Area = (3+5)/2 x 1.5
Area = 8/2 x 1.5
Area = 4 x 1.5
Area = 6 square feet.
Answer:
The factored form would be (8g + 7h)(2g - 5h)
Step-by-step explanation:
In order to find this, we need to use factors of 16g^2 in the front of the parenthesis. We also need to use factors of -35h^2 in the second side. Now we try these in the parenthesis and FOIL until we get an appropriate middle term.
Answer:
C
Step-by-step explanation:
Volume = Length times Width times height
Volume = 3 1/2 * 1 1/2 * 4
3 1/2 * 1 1/2 * 4 = 21
Hence, the answer is C