Answer:
The second boat will catch up in 8.5 hours, and they will be 187 km from their port.
Step-by-step explanation:
Since the system of equations are d=18t+34 and d=22t, you first rewrite d=18t+34 as an equation. 18t+34=22 and that equals to 8.5=t. Then you solve the next one d=22t and the answer you got from the other equation, you substitute d=22(8.5) and that equals to 187.
In a simplified form, the slope is -6/8 and the y intercept is -3.
Answer:
Step-by-step explanation:
a) together, they all drink about 2,090 glasses of water in one day. (418 * 5 = 2,090).
b) 2,090 * 7 (7 days in 1 week) = They drink about 14,630 glasses of water in one week.
c) 14,630 * 4 (4 weeks in 1 month) = About 58,520 glasses of water in one month.
d) 1,000,000/58,520 ≈ 17. It would take all of the students about 17 months to drink 1,000,000 glasses of water.
Hope that helps!
The total length is 7/8 of what it should have been.
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The goal is to find the area of a pentagon with side length 8.
We can find the area of a pentagon very easily by splitting it up into 10 congruent right triangles with the apothem as the height. The base of one of these triangles would be 4. The base angle would be 54 degrees, because it's half of the angle of a regular pentagon.
Using trig we find that the height of this triangle/apothem of the pentagon is equal to 4tan(54 degrees), which is about 5.506.
The area of a triangle is bh/2, so...4*5.506/2 = 11.011 in².
Times 10 triangles is 110.11 in².