There may be more than one solution, but if we take the difference between the numbers of the sequence, we get
3-1, 11-3, 43-11
=2,8,32
which are powers of 2
=2^1, 2^3,2^5
If we believe the next difference is 2^7=128, then the next in the sequence will be 43+128=171
15 mi/h= 15mi/60 min= 1/4 (mi/min)
x is original speed (mi/min)
t is original time
x*t =260
(x+1/4)=5x/4 is new speed
t-20 - new time
(x+1/4)(t-20)=260
xt = (x+1/4)(t-20)
xt=xt + t/4 - 20x - 5
t/4=20x+5
t=80x +20
We can substitute t=80x +20 into equation x*t =260
x*(80x+20)=260
80x²+20x-260=0
4x²+x-13=0
D=b² - 4ac = 1+4*4*13= 209
x=(-1+/-√209)/2*4
x=1.68 mi/min
1.68mi/min * 60 min/1h≈100 mi/h
Check
260/100=2.6h time with old speed
260/(115)=2.26 h time with new speed
2.6-2.26 = 0.34 h difference between old and new time
0.34h*60min/1h≈20 min difference between old and new time in minutes
17 feet...use Pythagorean theorem to solve the length of the four hypotenuse of the four triangles you can produce from that shape.
Answer:
Step-by-step explanation:
The answer is 157 because you do 12 x 16 which is the shaded region and the unshaded region and you get 192. Then you do 7 x 5 which is not the shaded region and it equals 35.Now you do 157-35 and then you get 157
