Answer:
3.88 nm
Step-by-step explanation:
The angle at Port Latta between the actual direction of travel and the destination at Lookout Point is 90° -75° = 15°. The sine function relates the angle, the side opposite, and the hypotenuse of a right triangle, so you have ...
sin(15°) = (distance to Lookout Point)/(15 nm)
Solving for the desired distance, we have ...
distance to Lookout Point = (15 nm)sin(15°) = 3.88 nm
The yacht is 3.88 nautical miles from Lookout Point.
Answer:
Rounded to the nearest integer, the test had 18 problems in all.
Step-by-step explanation:
Given that a student missed 10 problems on an English test and received a grade of 44%, if all the problems were of equal value, to determine how many problems were on the test the following calculation must be performed:
100 - 44 = 56
56 = 10
100 = X
100 x 10/56 = X
1,000 / 56 = X
17.85 = X
Thus, rounded to the nearest integer, the test had 18 problems in all.
Answer:
-1/2
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( -6 - -5)/( -1 - -3)
= ( -6+5)/( -1+3)
=-1/ 2
Answer:
<em>550 </em><em>students are in the school.</em>
Step-by-step explanation:
The way I found my answer was by first turning<em> 74% into a decimal</em>, which is <em>0.74</em>. Then I <em>divided 407 </em>by<em> 0.74</em> and I got<em> 550</em>. Therefore, <em>550 is our answer.</em>