Answer:
14) 21.136505024965 m
15) 43.076759215619 km
Step-by-step explanation:
14)
let h be the height of the lighthouse:
tan(41.3) = 18.7/h
Then
h = 18.7÷tan(41.5)
= 21.136505024965 m
………………………………………
15)
90-71.4 =18.6
Let s be the distance that the plane flew
towards the south:
tan(90 - 71.4) = s/128
Then
tan(18.6) = s/128
Then
s = tan(18.6)×128
= 43.076759215619 km
4 3/4 = 19/4
133/(19/4) = 133(4/19) = 1197/19 = 63 mph
Well this type of problems isn't exactly my strong suit, but I tried to come up with a solution, so my reasoning is as follows: we know that 1km is 0.621 miles, and the problem incites us to find how much time 1 mile takes, so we need to find how many kms are in a mile:
1km ---> 0.621 miles
<=> 1/0.621=1.610 km ---> 0.621/0.621 = 1 mile
so 1 mile = 1.610 km
Next we need to know how much time 1.610 km takes to run across
We know that:
10 km take 55 mins
and 1.610 = 10/6.211
so we need to divide 55 by the same value
55/6.211 = 8.855 mins
So 10 km ---> 55 mins
1.610 = 10/6.211 km ---> 55/6.211 = 8.855 mins
I hope I didn't mess up.
Hope I helped ^^
Answer:
2x-15 < or = -23
Step-by-step explanation:
Let x be the number.
Twice that number is 2x. 15 less than that is -15.
2x-15 < or = -23
3/12 = 4
15 x 4 = 60
12 x 10 = 120
120 - 60 = 60
He will make 60 cents if he buys and sells 12 flowers