9514 1404 393
Answer:
4. 1.3 cm³
5. 621.2 mm³
6. 116.5 m³
Step-by-step explanation:
The height to the peak of the pyramid is one side of the right triangle that has its hypotenuse equal to the slant height, and one leg equal to half the base side length. The Pythagorean theorem is used to find the height from the slant height (s) and the base length (b):
h = √(s² -(b/2)²)
The volume is found from the formula ...
V = (1/3)b²h
where b is the base length and h is the height found using the previous formula.
The tedious arithmetic is nicely done using a spreadsheet. Results are attached.
Option D:
is the solution to the system of equations.
Explanation:
Given that the equations are
and 
We need to determine the solution of the system of equations.
The solution can be determined by solving the two equations.
Let us solve the system of equations using substitution method.
Consider the equation
, the value of y is given by

Substituting the value of
in the equation
, we get,

Simplifying, we get,




Substituting the value of
in
, we get,



Thus, the solution to the system of equations is 
Hence, Option D is the correct answer.
Answer:
B, C, F
Step-by-step explanation:
Given:

Subtract the second equation from the first equation:

Option B "The x coordinate of the solution is 9" is ture
Substitute it into the first equation:

Option F "The y coordinate of the solution is -8" is true.
Point (9,-8) is in the IV quadrant, so option C is true.
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Answer:
21 1/3
Step-by-step explanation:
we turn the fraction into an improper fraction...
8/3 x 8/3 = (8*8)/3= 64/3 = 21 1/3