Answer:
$92.43
Step-by-step explanation:
Original value of money paid is $79
Tip is 17% of $79 = $13.43
Total is the original value + the tip
79 x 0.17(this is because 17% is the same as 17/100 If you turn this to a decimal you get 0.17) = $13.43
Total = $13.43 + $79
$92.43 the 43 cents are whole so there is no need to round off.
The tangent of the angle gives the ratio of the height of the lighthouse to the boat's distance
.. tan(angle of depression) = (lighthouse height)/(boat distance)
Then the distance to the boat is
.. boat distance = (lighthouse height)/tan(angle of depression)
We want to find the difference between two distances, so
.. boat travel = (lighthouse height)*(1/tan(first angle) -1/(tan(second angle))
.. = (200 ft)*(1/tan(17°31') -1/tan(46°41'))
.. ≈ 445.10 ft
Answer:
25. x=19
26. 16=x
27 28=x
28. 24=x
Step-by-step explanation:
25. The two angles make a straight line (180 degrees)
6x-17 + 3x+26 = 180
Combine like terms
9x +9 = 180
Subtract 9 from each side
9x+9-9=180-9
9x = 171
Divide by 9
9x/9 = 171/9
x=19
26. These angles are corresponding angles and corresponding angles are equal if the lines are parallel
4x+20 = 6x-12
Subtract 4x from each side
4x-4x+20 = 6x-4x-12
20 =2x-12
Add 12 to each side
20+12 = 2x-12+12
32=2x
Divide by 2
32/2 = 2x/2
16=x
27 These are alternate interior angles and alternate interior angles are equal if the lines are parallel.
4x+30 = 6x-26
Subtract 4x from each side
4x-4x+30 = 6x-4x-26
30 = 2x-26
Add 26 to each side
30+26 =2x-26+26
56= 2x
Divide by 2
56/2 = 2x/2
28=x
28. These are corresponding angles and corresponding angles are equal if the lines are parallel.
99=3x+27
Subtract 27 from each side
99-27 = 3x+27-27
72 = 3x
Divide by 3
72/3 = 3x/3
24=x
Answer:
1/2
Step-by-step explanation:
It rises 1 and goes 2 units to the left, which is what rise/run means
And a tip:
I can tell you're using Goggle Forms. If you hit ctrl + U, you can find the answers to the questions in the code
It increases then decreases then becomes constant
