Answer:
A
Step-by-step explanation:
Answer:
√306
Step-by-step explanation:
→ Work out the height of the triangle
14 - 5 = 9
→ Use Pythagoras theorem
√15² + 9²
→ Simplify
√306
Let the cost of gasoline in the year 2000 be represented b the equation
y = a + b*x
where
x = months, counted from January
y = cost, dollars
The given data in the table is
Month: Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
x, months: 1 2 3 4 5 6 7 8 9 10 11 12
y, dollars: --- --- --- --- 1.76 2.13 --- --- --- --- --- ---
When x = 5, y = 1.76.
Therefore
a + 5b = 1.76 (1)
When x = 6, y = 2.13
Therefore
a + 6b = 2.13 (2)
Subtract equation (1) from (2).
a + 6b - (a + 5b) = 2.13 - 1.76
b = 0.37
From (1), obtain
a = 1.76 - 5b
= 1.76 - 5*0.37
= -0.09
The required equation is
y = 0.37x - 0.09
The graph shows the line, with the given data for May and June.
Answer: D. y = 0.37x - 0.09
2x + 5(-3x-10) = - 154
2x -15x -50 = -154
-13x = -104
13x = 104
x = 104/13
X = 8
Answer:

Step-by-step explanation:
The volume of the pyramid is given by:

where
is the area of the base and
is the height.
We know that the height is:

Thus we need to find the area of the square at the base.
The perimeter of the square is:

this means that the length of the sides of the square is :

Now we can find the area of the base which the area of the square:

and finally we find the volume:


Which rounded to the nearest tenth of a cubic centimeter is: 