Answer:
4. quadratic
Step-by-step explanation:
The answer is 5 you’re welcome
For this case, the first thing we must do is define a variable.
We have then:
p: rate in miles per hour for the last 1.5 hours
We now write the equation that models the problem.
We have then:
Rewriting we have:
From here, we clear the value of p.
We have then:
Answer:
DeAngelo's rate for the last 1.5 hours of his run is 7 miles per hour.
Answer:
a. The price per ticket is 4 bucks, and b. you get 1/4 of a ticket for a dollar.
1. the penguin walks 75 feet in 45 seconds, and 2. it takes 27 seconds to walk 45 feet.
Step-by-step explanation:
Tickets:
16 dollars divided by 4 tickets is 4 dollars, so 4 dollars = 1 ticket. therefore, 1 dollar gives you 1/4 of a ticket.
Penguins
formula: X = feet, Y = seconds
X*0.6=Y
10 feet*0.6=6 seconds
(?) feet*0.6= 45 seconds
75 feet*0.6=45 seconds
same thing, but backwards this time
45 feet*0.6=(?) seconds
45 feet*0.6= 27 seconds
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In this problem, you are looking at a pair of similar trapezoids. So we must be looking for a ratio between a side in the smaller trapezoid and the corresponding side in the bigger trapezoid. We are given the lengths of AB and EF, which we can use to find this ratio.
But before we do anything we must convert units so that all units are the same. Let's convert the 60 feet into inches. 60 feet is 720 inches.
Next, set up the ratio I mentioned earlier. If we set up the ratio so that it is smaller:larger, we would get 4:720, which simplifies to 1:180. Basically what this ratio says is that every 1 inch in the smaller trapezoid corresponds to 180 inches in the bigger trapezoid. Now we can use this ratio to find the lengths of the sides in the bigger trapezoid. Just multiply all the lengths of the smaller trapezoid by 180 to get the lengths for the bigger trapezoid. Finally, when we have all our side lengths, divide them all by 12 (because 12 inches in 1 foot) to get the measurements in feet.
From here, I'll let you find the total length yourself.
