<span>2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 are the numbers that are prime</span>
Answer:
Since the question doesn't mention in what tide the answer should be, I will be giving a solution to both, the high and low tide. Hope this helps :)
Step-by-step explanation:
Using a cosine function, where time is measured in hours past high
tide: y=4cos30x + 10
Using a cosine function, where time is measured in hours past low
tide: y = 4cos[30(x-6)]+10
Circumference = 2πr
So the circumference of the track is C = 2π .2 or .4π
3 times around the track is .4π x 3 or 1.2π - this is the answer but most teachers will want you to use 3.14 for pi.
so 1.2 x 3.14 = 3.768 km
Do you notice that I waited until the end to use the actual value of pi (3.14) in my calculations.
Keeping things in pi units until the very end saves time.
Answer:
Step-by-step explanation:
Since the formula for the area of a square is A = x^2, where x is the side length, x = √A.
If A = 64 square units, the side length is √64 units (8 units)
If A = 36 square units, that length is √36 units (6 units)
y - y₁ = m(x - x₁)
y - 1 = 1³/₅(x - 2) Point - Slope Form
y - 1 = 1³/₅(x) - 1³/₅(2)
y - 1 = 1³/₅x - 3¹/₅
+ 1 + 1
y = 1³/₅x - 2¹/₅ Slope - Intercept Form
-1³/₅x - y = 1³/₅x - 1³/₅x - 2¹/₅
-1³/₅x - y = -2¹/₅
-1(-1³/₅x - y) = -1(-2¹/₅)
-1(-1³/₅x) + 1(y) = 2¹/₅
1³/₅x - y = 2¹/₅ Standard Form
1³/₅(0) - y = 2¹/₅
0 - y = 2¹/₅
-y = 2¹/₅
-1 -1
y = -2¹/₅ Y - Intercept
(x, y) = (0, -2¹/₅)