Answer:
+/- x over 12
Step-by-step explanation:
1) a modle
2) in a classroom
3) where everything is located
Since at time 0 (midnight) the tide is at the highest, the tide is modeled by a cosine function.
The amplitude is
a = (10.3 - 0.3) / 2 = 5
The period is 12 hours
b = 2π / 12 = π/6
The vertical shift is
10.3 - 5 = 5.3
The equation then is
y = 5 cos (π/6 t) + 5.3
Answer:
<h2>The answer is option B </h2>
Step-by-step explanation:
9x² + 18x + 9
<u>Factor out 9 from the expression</u>
That's
9( x² + 2x + 1)
Using the identity
a² + 2ab + b² = ( a + b)² factor the expression
We have the final answer as
<h3>9( x + 1)²</h3>
Hope this helps you
Answer:
9. a. 6
9. b. 2; 1
9. c. 3.14; 1.57
9. d. 7.57
10. 3106.86
Step-by-step explanation:
9. a. The rectangle has a length of 3 and a width of 2, so that means its area has to be 6.
9. b. The semi-circle's diameter is 2, because it is the same width as the rectangle, and finding the radius, means that you need to cut the diameter in half, so the radius of the circle is 1.
9. c. To find the full circle, we must use the formula (pi)(r)^2. So we have 3.14(1), which is just equal to pi. but since we need half the circle, we must divide the number by 2, to get the answer 1.57...
9. d. Finally we need to add up all the values together, from a. we know that the rectangle has an area of 6, and from b and c, we know the semi-circle has an area of 1.57, so we add those two numbers together we get 7.57.
10. We can do the exact same thing as number nine, which means the rectangle is 30*70=2100, The radius of the circle is 15 (30/2), the area of the circle (and since there are 2 semi circles, we don't need to divide by 2) we get 706.86, now all thats left is to add the numbers together to get the number 2806.86.
