Answer:
a.
b.
Step-by-step explanation:
In numerical expressions we write numbers with the mathematical symbols ( i.e. '+', '-' etc )
a. Given phrase,
Three fifths of seven,
b. One sixth the product of four and eight,
A city lot is 20 4/5 meters wide. It is 2 1/2 times as long as it is wide. How long is the city lot? Express your answer in simp
2 answers:
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Answer:
Step-by-step explanation:
Let's solve the second equation for a to later on replace it in the first equation.
Now plug this into the first equation.
Distribute the 9
Break down the fraction.
Simplify.
Subtract
Combine like terms.
Muliply by the reciprocal or inverted fraction next to b.
Now plug this value into any of the equations to find the value of a.
Answer:
V = 128π/3 vu
Step-by-step explanation:
we have that: f(x)₁ = √(4 - x²); f(x)₂ = -√(4 - x²)
knowing that the volume of a solid is V=πR²h, where R² (f(x)₁-f(x)₂) and h=dx, then
dV=π(√(4 - x²)+√(4 - x²))²dx; =π(2√(4 - x²))²dx ⇒
dV= 4π(4-x²)dx , Integrating in both sides
∫dv=4π∫(4-x²)dx , we take ∫(4-x²)dx and we solve
4∫dx-∫x²dx = 4x-(x³/3) evaluated -2≤x≤2 or too 2 (0≤x≤2) , also
∫dv=8π∫(4-x²)dx evaluated 0≤x≤2
V=8π(4x-(x³/3)) = 8π(4.2-(2³/3)) = 8π(8-(8/3)) =(8π/3)(24-8) ⇒
V = 128π/3 vu
