Hey there!
Let's set up a system of equations to find our answer. We will use x and y, with y being the larger 1.
y=x+8
x²+y²=104
We plug our value for y into the second equation and we get that y is equal to two. We can then plug this into the first equation and we get 10.
Our two numbers are two and ten.
I hope this helps!
Let's plug our y value into the second equation.
x²+x²+64=104
Answer:
0.9 for the top box and 1.68 for the bottom box
Step-by-step explanation:
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The initial height of the balloon is 10 feet which then increases by 70% to (10 ×1.7) = 17 feet, then to (17 × 1.7) =28.9 feet, and so fourth if the rate of increase is kept constant. Therefore, forming a geometric sequence such that to get any term in the sequence we use the formula ar∧(n-1), where a is the first term, r is the common ratio, and n is the term in the sequence. In this case a is 10 and r= 1.7 , to get the height in the fourth minute it means n =5 (for the first term there is 0 minutes, such that for 0 minutes n= 1)
Thus, 10 × 1.7 ∧ 4 = 83.521 feet.
Therefore, the answer is 83.521 feet
