Answer:
a. 29.05 b. 29.05 c. 29.5
For this problem we can represent the situation as a rectangle triangle.
x: depth of water.
40: Base. "Antonio pulls the lily to one side, keeping the stem straight, until the blossom touches the water at a spot"
x + 8: Hypotenuse. "He notices water lily sticking straight up from the water, whose blossom is 8 cm above the water's surface." Antonio pulls the lily to one side, keeping the stem straight, until the blossom touches the water at a spot".
By the Pythagorean theorem we have:
x ^ 2 + 40 ^ 2 = (x + 8) ^ 2
Clearing x:
x ^ 2 + 1600 = x ^ 2 + 16x + 64
x ^ 2 - x ^ 2 = 16x + 64 - 1600
0 = 16x -1536
1536 = 16x
1536/16 = x
x = 96
answer:
1) x ^ 2 + 40 ^ 2 = (x + 8) ^ 2
2) the depth of the water is
x = 96
Answer:
n = -2
Step-by-step explanation:
4n + 12 = 4
Subtract 12 from both sides.
4n = -8
Divide both sides by 4.
n = -2
Ok so you have 4, x^6 / 2, x^4. Now divide the coefficient so 4/2=2. So 2 x^6/x^4, now subtract the numerator by the denominator so x^6-x^4=x^2 so now you have 2x^2
Answer: 2x^2
We need to divide the number of inches by the number of hours.
Let's first convert the two numbers into fractions.
12 1/2 = 25/2
25 1/2 = 51/2
(25/2) / (51/2) = 25/2 * 2/51 = 50/102 = 25/51 = 0.49
The average rainfall was approximately 0.5 inches per hour.
