The distance from the lighthouse to the boat will be given by:
tan θ=opposite/adjacent
θ=angle of depression=23
opposite= height of the lighthouse
adjacent=distance from the boat to the bottom of the light house
hence
tan 23=210/a
thus solving for a we obtain:
a=210/tan23
hence
a=494.73 ft
We know that there are 3,000 gallons in the swimming pool and that one hose filled it in x minutes (or hours, doesn't matter), while the second hose filled it 4x minutes. Together we have 5x (five parts that hoses have filled), so all we need to do is to divide 3,000 by 5:
3,000 ÷ 5 = 600
Now we can see that one hose filled <u>600 gallons</u>, while the other one filled 4 * 600 = 2,400 gallons.
If the "some number" is represented by m, then "some number cubed" is m^3. The product of that and 2 is 2m^3. Eight more than that product is
.. 8 +2m^3 . . . . . . . . upper-left selection
ANSWER
EXPLANATION
It was given that:
and
Perform the scalar multiplication to obtain:
We add the corresponding components to get;
The first choice is correct.
<span>The function is represented by the below symbols if x stands for days.
f(x) = (1/2)^(x)*1.4
From x = 0 - 4</span>