Kyle, d = rt, right? This means that t = d/r. If we call the rate of the current c, then her rate upstream is hindered by the current and is 3 - c. Downstream is 3 + c. The total time is 6 hours... 5/(3 - c) + 5/(3 + c) = 6 Once we put everything over the same denominator, we don't need it anymore. 5(3 + c) + 5(3 - c) = 6(3 - c)(3 + c) 15 + 5c + 15 - 5c = 54 - 6c2
30 = 54 - 6c26c2 = 24c2 = 4c = 2 2 mph
To calculate the costs of a quart of strawberries and a quart of raspberries, use the two given condition to set-up an equation. Since two variables are unknown, it needs two equation to calculate the solution. Let x be the cost of a quart of strawberries and y as the cost of a quart of raspberries. So, 1st equation is 3x + 2y = 22, and 2nd equation is 5x + 4y = 39. Substitute one equation into the other by expressing one variable into another variable. Then, the answer is x = $3.5 and y = $5.75.
Answer:
7% = $34
100% = 100/7 X 34 = 3400/7 = $ 485.71 OR $ 486 ANSWER.
Step-by-step explanation:
100% = 100/7 X 34 = 3400/7 = $ 485.71 OR $ 486 ANSWER.
It depends on how b approaches 0
If b is positive and gets closer to zero, then we say b is approaching 0 from the right, or from the positive side. Let's say a = 1. The equation a/b turns into 1/b. Looking at a table of values, 1/b will steadily increase without bound as positive b values get closer to 0.
On the other side, if b is negative and gets closer to zero, then 1/b will be negative and those negative values will decrease without bound. So 1/b approaches negative infinity if we approach 0 on the left (or negative) side.
The graph of y = 1/x shows this. See the diagram below. Note the vertical asymptote at x = 0. The portion to the right of it has the curve go upward to positive infinity as x approaches 0. The curve to the left goes down to negative infinity as x approaches 0.
Answer:
The answer to your question is Superficial area = 144 + 36√3
Step-by-step explanation:
Process
1.- Calculate the area of the base
Area = base x height / 2
-Calculate the height using the Pythagorean theorem
h² = 12² - 6²
h² = 144 - 36
h² = 108
h = √108
108 2
54 2
27 3
9 3
3 3
1
h = 6√3
Area = 12 x 6√3/2
Area = 36√3 u²
2.- Calculate the area of the superficial 3 triangles
Area = base x height / 2
-Calculate the height using the Pythagorean theorem
h² = 10² - 6²
h² = 100 - 36
h² = 64
h = 8
Area = 12 x 8/2
Area = 48 u²
Total area = 3(48) + 36√3
= 144 + 36√3