Answer:
-cos(2A)
Step-by-step explanation:
We know that (a+b) (a-b) = a^2-b^2
So it means we can simplify to sin^2(A)-cos^2(A) and we know cos^2(A) - sin^2(A) = cos(2A) but we will just multiply by -1 and we get - cos(2A)
This is the concept of scale factors, if figure 1 was dilated to figure 2 the scale factor was given by;
scale factor=[length of figure 2]/[length of figure 1]
length of figure 1=18
length of figure 2 =3
thus;
The scale factor of the dilation will be:
3/18
=1/6
The equation is y = 20(1.40)^x
where x is the number of days and y is the future amount after x days go by
The 1.40 is from the fact that 1+r = 1+0.40 = 1.40, where r is the decimal form of 40%, so r = 0.40
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Plug in x = 7 to get
y = 20(1.40)^x
y = 20(1.40)^7
y = 210.827008
y = 211
We round to the nearest whole number since it doesn't make much sense to have a fractional portion of an algae. After 7 days, there are about <u>211</u> algae.
The area of the triangle is 3 because b•h/2, and the area of the rectangle is 3 because l•w, added together that equals 6, and doubled that equals 12. So I think the answer is C, 12 square feet.
The answer is 923.2 because I found the circumference of the circle which was 153.86 and since it is the volume of the cone you would use the formula V=1\3BH. Using that formula you would do: 1/3*153.86(18) and that would get you 923.16 and since it looks like the answer wants you to round, you would get 923.2. Hope that helps!
