Let
x------> Cathy's<span> ages
</span>y------> Tony's ages
we know that
x+y=65-----> x=65-y-----> equation 1
y-8=(2/5)*(x-8)-----> equation 2
substitute equation 1 in equation 2
y-8=(2/5)*(65-y-8)---> y-8=22.8-0.4y----> y+0.4y=22.8+8
1.4y=30.8-----> y=22
x=65-y-----> x=65-22----> x=43
the answer is
Cathy's ages is 43 years
Tony's ages is 22 years
Splitting up the interval [0, 6] into 6 subintervals means we have
![[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]](https://tex.z-dn.net/?f=%5B0%2C1%5D%5Ccup%5B1%2C2%5D%5Ccup%5B2%2C3%5D%5Ccup%5Ccdots%5Ccup%5B5%2C6%5D)
and the respective midpoints are

. We can write these sequentially as

where

.
So the integral is approximately

Recall that



so our sum becomes

Answer:
12 ft
Step-by-step explanation:
for the model is 1 and the actual is 5
conversion yards to feet
3 feet = 1 yard
20 * 3 = 60
60/5 = 12
your answers 12 ft
hope this helps:)
For the answer to the question above,
a1 = 40
<span>a2 = 20 </span>
<span>a3 = 10 </span>
<span>.. </span>
<span>aN = (1/2^N-1) a1 { in general aN= (r^N-1) A1 </span>
<span>a5 = (1/2^4) 40 = 40/16 = 2.5
</span>
So the answer to your question is 2.5
I hope my answer helped you. Feel free to ask more questions. Have a nice day!