Parallel lines have equal slope so
Lets check
Now
Lines are parallel
Answer:
75.02 ft
Step-by-step explanation:
Split the problem into 2 different part. The bottom part of the tree is 5 feet because that's where your eye levels are, so you just have to solve the top part of the tree.
The top part of the tree is solved by finding the height of the triangle. If you remember SohCahToa, the opposite side of the angle is solved using tangent.
tan(angle) = opposite/adjacent
tan(35) = x/100, x is just the unknown height of the tree.
multiply 100 on both side to get x by itself.
x = 100tan(35)
x = 70.02
add that top height of the tree(70.02ft) with the bottom height of the tree(5ft).
70.02+5 = 75.02 ft
3:5 ratio mean there are 8 "parts" (3 + 5 = 8)
The distance between the x-coordinates is |-3 - 5| = 8.
So each "part" is 8/8 = 1 unit long in the x-direction.
You want I to be 3(1) = 3 units from D, so the x-coordinate of I is -3 + 3 = 0.
Same deal for y.
|2 - 5| = 3 is the distance between D and E
Each part is 3/8.
3(3/8) = 9/8
2 + 9/8 = 25/8
So the point I is (0, 25/8)
Answer
Fill the 5 gallon jug.
Pour the 5 gallon jug into the 3 gallon jug.
Empty the 3 gallon jug and pour the remaining 2 gallons in the 3 gallon jug.
Fill the 5 gallon jug and pour 1 gallon into the 3 gallon jug (remember it will only take one gallon)
Viola the remaining 5 gallon jug will have exactly 4 gallons remaining.
To find the value of Coach Velez's total bill, first we must figure out how much the total of all of the ice cream sundaes were.
To do this, we must multiply the number of sundaes (8) by the cost of each sundae ($5.35).
8 * 5.35 = $42.80
However, Coach Velez also left a tip of 15%. To find out how much Coach Velez tipped, we have to multiply his regular bill ($42.80) times the amount he is tipping (15% or 0.15)
$42.80 * 0.15 = $6.42
Finally, we just have to add the bill ($42.80) and the tip ($6.42) together to find Coach Velez's total amount.
$42.80 + $6.42 = $49.22
Coach Velez spent $49.22 in all.