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:
It lies between 5 and 6
Step-by-step explanation:
Two consecutive numbers are numbers that come after each other:
x , x + 1 are consecutive numbers.
3 \sqrt{3} = 3√3 = 5.19615242271
Therefore, from the above calculation, we can see that square root of 3 is a number that is between consecutive numbers 5 and 6
Using the simple interest formula, it is found that the APR for the loan is of 4.472%.
<h3>What is the simple interest formula and when it is used?</h3>
Simple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
In which:
- A(0) is the initial amount.
- r is the interest rate, as a decimal.
The parameters for this problem are:
A(t) = 6 x 511.18 = 3067.08, A(0) = 3000, t = 0.5.
We solve the equation for r to find the APR.
1 + 0.5r = 1.02236
r = (1.02236 - 1)/0.5
r = 0.04472.
More can be learned about simple interest at brainly.com/question/25296782
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Let x = number of adults tickets sold
then, 1750 - x = number of children tickets sold
We know that the cost for adult tickets is $5 and and children is above calculated so sum total tickets sold cost is $7100.
($5)(x) + ($2)(1750-x) = $7100
5x - 2x + 3500 = 7100
3x = 3600
x = 1200
Answer:
(x-8)(x-5)
Step-by-step explanation:
The only way to solve this equation is to factor it. You would have to use the sum and product rule.
