Answer:
last option
Step-by-step explanation:
b) 1/6 = 16.7 to 1dp
c) 45% = 45/100 = 9/20
d) 7/9 = 77.8% to 1dp
Law of sines can be used to solve this problem:
(note - let x represent the missing side length.)
1. set up proportion.
sin 90°/25 = sin 55<span>°/x
2. solve.
(x) sin 90</span>° = (25) sin 55<span>°
(x) sin 90 </span>°/sin 90° = (25) sin 55° / sin 90<span>°
</span>
x = 20.4788011072
rounded to nearest tenth = 20.5
The distance from San Francisco to New York is 4140 km. Since the question asks how long it took the Humphrey family in km/hr (kilometers per hour), you would just divide 4140km by 6.
Why? Because it took them 6 hours to make a trip of 4140 km. Dividing 4140 by 6 gives you the distance they traveled per hour.
690 km/hr
Let x and y be the sides of the rectangular corral. Therefore,
Area, A = x*y = xy
Additionally, let the side bordering the barn be x. Then,
Circumference, C = x+y+y = x+2y = 4000 ft => x = 4000 - 2y
Substituting for x in the area equation,
A = (4000-2y)y = 4000y - 2y^2
For maximum area, dA/dy = 0
Then,
dA/dy = 4000 - 4y = 0 => 4000 = 4y => y = 4000/4 = 1000 ft
And x = 4000 - 2y = 4000 - 2*1000 = 4000 - 2000 = 2000 ft
The dimensions of the corral are: 2000 ft by 1000 ft.
Area, A = xy = 2000*1000 = 2000,000 ft^2
