
From the diagram, we can see that the radius of the cone is 8cm and the height of the cone is 15cm. We then just plug these numbers into the formula and simplify:

The volume of the cone is approximately 1005.3096 cm^3. With 3 sig figs, this is 1010 cm^3.
Answer:
Step-by-step explanation:
n+21
Focus on the regression line. Notice how (0,90) and (1,75) are on this line. Compute the slope of the line through those points
Use the slope formula
m = (y2-y1)/(x2-x1)
m = (75-90)/(1-0)
m = -15/1
m = -15
So Matthew's balance is decreasing by approximately 15 dollars each month. The negative slope means "decrease". This is shown by the fact that the line goes downhill as you move from left to right.
Answer: decreases by $15 each month
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Explanation:
1. The general form of a quadratic in standard form* is ...

An example is ...

The constant c is the y-intercept, so is the easiest bit of information to obtain in this form.
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2. The general form of a quadratic in vertex form can be written as ...

An example is ...

The ordered pair (h, k) is the vertex of the parabola, so is easy to obtain in this form. Arguably, it may be easier to identify the line of symmetry, x=h, since that requires looking at only one constant, instead of two.
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* In the UK, "standard form" is vertex form.
Answer:
a = 4.949
b = 4.949
c = 7
Step-by-step explanation:
c ( hypothenuse ) = 7
to find a, use sine
Sine = 
Sine 45 = 
sine of 45 is 0.707
0.707 = 
multiplt 7 on both sides:
0.707 x 7 =
x 7
a = 4.949
to find b, use cosine
Cosine = 
Cos 45 = 
cos of 45 is 0.707
0.707 = 
multiply 7 on both sides:
0.707 x 7 =
x 7
b = 4.949