Answer:
h = 3.62
Step-by-step explanation:
First, as both triangles have the same angles we can use the relationship of areas and sides corresponding to similar triangles as follows:

Now we know that the new triangle has sides of 4.18. Then, as these triangles are equilateral we can use the Pythagorean Theorem to find the height:

Finally the height of this new triangle is 3.62 cm
Answer:
Step-by-step explanation:
How to write the rule of a function given the table of values. To write the rule of a function from the table is somehow tricky but can be made easier by having prior knowledge of the type of function. If the function is a linear function, plugging any two sets of values from the table into the equation y = ax + b, where a and b are constants to be found and x, y are values taken from the table. Solving the two equations obtained simultaneously gives the values of a and b and hence the required rule.
Similarly, if the function is a quadratic equation, plugging any three sets of values from the table into the equation y = ax^2 + bx + c, where a, b, c are constants to be found and x, y are values taken from the table. Solving the three equations obtained simultaneously gives the values of a, b and c and hence the required rule. For tables with no prior knowledge of the type of function, a series of trial and error will lead us to the solution of the problem.
Answer:
Step-by-step explanation:
-2 1/3 2 5/9 2.43 2.43
Answer:
;-;
Step-by-step explanation:
1) 153.86cm²
2) 28.26cm²
3) 65.94cm²
4) 63.585cm²
5) 8167.14ft²
6) 78.5m²
7) 314in²
8) 490.625cm²
9) 1384.74ft²
10) 50.24m²