9514 1404 393
Answer:
115.5 cubic yards
Step-by-step explanation:
The volume is given by the formula ...\
V = 1/3πr²h
Here the diameter is 7 yards, so the radius is 3.5 yards. The volume is then ...
V = (1/3)π(3.5 yd)²(9 yd) = 36.75π yd³ ≈ 115.454 yd³
The volume of the cone is about 115.5 cubic yards.
Answer:i might be wrong but i believe its b
Step-by-step explanation:
Answer:
Tom is incorrect.
Step-by-step explanation:
A square by definition implies that all sides of the square are the same measurements. In the case of finding the area, A = s². Tom, however, solved it as A = 2s.
In this case:
Area of square = s² = 11² = 121 ft²
121 ft² is the correct measurement.
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Answer:
The angular speed of the wheel in radians per second is 0.66.
Step-by-step explanation:
Recall the following statement:
A linear speed (v) is given by,
...... (1)
Here, represents the angular speed of the wheel and <em>r</em> represents the radius of the wheel.
From the given information:
Linear speed (v) = 33 cm/s
Radius of the wheel (r) = 50 cm
Now to find the angular speed in radian per second.
Divide both sides by 50.
Hence, the angular speed of the wheel in radians per second is 0.66.
Ok, first group x terms
f(x)=(x²+4x)-8
factor out quadratic coefient (no need but that's the step)
f(x)=1(x²+4x)-8
take 1/2 of the linear coefient and square it
4/2=2, (2)²=4
add positive and negative of it insides the parenthasees
f(x)=1(x²+4x+4-4)-8
factor perfect square
f(x)=1((x+2)²-4)-8
distribute
f(x)=1(x+2)²-4-8
f(x)=1(x+2)²-12
and, now if we wanted to find the x intercepts where f(x)=0 then
0=1(x+2)²-12
12=(x+2)²
+/-2√3=x+2
-2+/-2√3=x
x=-2+2√3 or -2-2√3
that is where the x intercept are
and completed square form is
f(x)=(x+2)²-12