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
Answer:40 degrees
Step-by-step explanation:
Since triangle similarity depends on either the measurement of sides which no given about it here or equal angles so angle c = angle R
Answer:
Step-by-step explanation:
<u>Let the score is x. The average is:</u>
- (83 + 56 + 94 + x)/4 = 82
- x + 233 = 4*82
- x = 328 - 233
- x = 95
Answer:
9
Step-by-step explanation:
√x+5-2=0
√x+3=0
√x= -3
x=9 [(-3)*(-3) = 9]
If a point has the same x-coordinate as the origin, that means the point could be anywhere on the y-axis. This means it could be below the x-axis or above, but never on the x-axis. This means if you drew it on a coordinate plane, the point would always be traveling vertically on the y-axis.
