Answer:
84.89 feets
Step-by-step explanation:
The solution triangle attached below :
The distance between base of lighthouse and ship, d, can be calculated using trigonometric relation :
Tan θ = opposite / Adjacent
Tan 23 = d / 200
d = 200 * tan23°
d = 84.89 feets
the answer is -6 your welcome
To find the perpendicular line a y- 2 = 7/3 (x + 5) you must first observe that the slope is m = 7/3, therefore, the slope of the perpendicular line put of the reciprocal, that is, m = - 3/7. So the possible options are A or C, but since the point (-4, 9) must go through the line, we find that the equation that satisfies that is option C.Therefore the perpendicular line that passes through the point (-4, 9) is C. y - 9 = -3/7 (x + 4)
Answer:
The answer is x= 
, x= 
Step-by-step explanation:
x^2=a
-9x=b
3=c
Plug into formula.
Equation: 
Simplify the equation.
Equation: 
Subtract 81 and 12.
Equation: 
Spit into two equations
Equation 1:
Equation 2:
Hope this helps!
Answer:
122
Step-by-step explanation:
An arithmetic sequence means a number is added each term. There is a term for where a number is multiplied as well. But in this case the first number is -103, the second number is -94 and the third number is -85. Can you tell what number is added each time?
The number is 9. -103+9=-94 and -94+9=-85 and so on. Now we want a way to find the term way further down the line.
Think of it doing it all at once. -103+9+9 gets us the third term right? so that's 2*9. -103+3*9 would get us the fourth. Hopefully that makes sense, but let me know if it doesn't. But for a few more examples, if we want the fifth term we would do -103+4*9 and getting the tenth would need -103+9*9. So basically we take the number term we want (in this case we want the 26th) and then take -103+ n*9, where n is the term we want minus 1, or in this case 25. so that's -103+25*9
Let me know if you need more of an explanation.
