Answer:
Step-by-step explanation:
Let the speed in the morning be s, then in the evening it is s - 4
<u>The distance is equal both directions:</u>
- 45 min *s = 1 hr 10 min *(s - 4)
<u>Time in hours:</u>
- 45*1/60*s = (1 + 10*1/60)(s - 4)
- 3/4s = 7/6s - 7/6*4
<u>Multiply all terms by 12 to clear fraction:</u>
- 9s = 14s - 56
- 5s = 56
- s = 56/5
- s= 11.2 mph
<u>The distance is:</u>
- 3/4*11.2 = 0.75*11.2 = 8.4 miles
Answer:
D
Step-by-step explanation:
Triangle Side Theorem: The two smaller sides of a triangle
must be greater than the largest side
8 + 9 > 16
Answer:
θ = 2π/3 or 5π/3
Step-by-step explanation:
2 cosθ + 1= 0
when + 1 goes to R H S Side than it becomes negative by transposition method
2 cos = -1
now by dividing by 2 both sides we get
cosθ = -
since cosθ is negative
Cosθ = - cos 60°
it means either cosθ lies in 2nd or third quadrant
θ = π - π/3
or
θ = 2π- π/3
so θ = 2π/3 or 5π/3
Answer:
£42
Step-by-step explanation:
The ratio of Richard's amount to Stephen's amount is ...
R : S = 3 : 1
The ratio of Natasha's amount to Richard's amount is ...
N : R = 2 : 1 = 6 : 3
Then the ratio of all three amounts is ...
N : R : S = 6 : 3 : 1
The proportion of the total that Natasha gets is ...
6/(6+3+1) = 6/10
so she gets ...
(6/10)×£70 = £42
Natasha gets £42.
Answer:
Step-by-step explanation:
