The reasonable measurement is D.)the distance from New York to California is 2,250 miles
Measurement:
Measurement is the process of comparison of an unknown quantity with a known or standard quantity.
Given,
Mr. Customs is correcting the class’s math homework on customary units. Here we need to find which of the following measurements is reasonable.
By looking at the given options,
A) a pencil is 12 feet long - This one is wrong because the measuring unit of pencil is cm.
B) the back porch is 12 inches wide - For this one we have to use the feet or meter scale.
C) the 3rd hole in the golf course is is 123 miles long - Here this one we have to use either cm or mm.
Therefore, option (D) the distance from New York to California is 2,250 miles is a reasonable statement.
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Answer:
we get:
= 1/2 ʃ02π ʃ14 ( √u -1)du dθ
= ʃ02π 11/12 dθ
= 11/6 π
Step-by-step explanation:
Given:
Radius = 2 units
Plane 1 unit from center of sphere.
The volume of D as an triple integral in spherical, cylindrical and rectangular coordinates are:
Spherical:
ʃ02π ʃ0π/3 ʃsecΦ2 p2 sinΦ dp dΦ dθ
Cylindrical:
ʃ02π ʃ0√3 ʃ1√4-r2 r dz dr dθ
Rectangular:
ʃ-√3√3 ʃ-√3-x2√3-x2 ʃ1√4-x2-y2 1dz dy dx
Solving the integral by using cylindrical coordinates:
ʃ02π ʃ0√3 ʃ1√4-r2 r dz dr dθ = ʃ02π ʃ0√3 r ( √(4-r2) -1) dr dθ
put u = 4-r2, by substituting,
we get:
= 1/2 ʃ02π ʃ14 ( √u -1)du dθ
= ʃ02π 11/12 dθ
= 11/6 π
Answer:
Step-by-step explanation:
We want to find the equation of a parabola withfocus at (-3,0) and directrix y=3.
This para has its vertex at the origin and opens downward.
The equation is of the form
Where p is the distance from the vertex to the focus.
This distance is p=|0-3|=3
We substitute p=3 to obtain:
Hence the equation is
Here, we need to write the length of the insect in scientific notation.
The given length of the insect is 0.0052 meter
Now, to write 0.0052 meter in scientific notation we need to follow this:
Scientific notation always start with non-zero digit followed by a decimal point.
Since in our number the decimal is needed to be moved three places to the right to get the first non-zero digit.
The exponent of the 10 is .
Therefore, our number 0.0052 can be written as:
Hence, the require scientific notation is .