The height of the tree is the sum of the part below the line parallel to the horizontal and the part above the line parallel to the horizontal.
Height of the part below the line parallel to the horizontal = 18 sin16° = 4.96 meters
Horizontal distance of the tip of the of the shadow from the tree = 18 cos16° = 17.30 meters
Height of the part above the line parallel to the horizontal = 17.3 tan68° = 42.83 meters
Height of the tree = 4.96 + 42.83 = 47.79 meters
Answer:
20 CDs
Step-by-step explanation:
Assuming you can't buy 1 CD, you have to buy 2 CD's for 15.95, let's see how many 2CD-Batches we can buy with 60:
60/15.95 = 3.76 CD batches
We can't buy the fractional amount, so we have to buy "3" 2-CD-Batches.
Thus, we will have 3 * 2 = 6 CD's now
Since we had 14 and now we buy 6, we will have
14 + 6 = 20 CDs now.
20 CDs
Answer is 120 bc if the two sides are equal, so are the angles. add those and subtract that from 180 (area of a triangle) and get 120
The value of the coin times the number of coins all added up equals the total value of the piggy bank
so
0.05n + 0.10d = 5.60
then they have given us "number of nickels is 8 less than 3 times the dimes"
this translates to
n = 3d - 8
we plug this into our first equation and we get
0.05(3d - 8) + 0.10d = 5.60
now we solve for d
first we can distribute the 0.05
0.15d - 0.40 + 0.10d = 5.60
then we can add the 0.15d and 0.10d together
and get
0.25d - 0.40 = 5.60
then we can add 0.40 to both sides
0.25d = 6.00
then divide both sides by 0.25
d = 6.00 / 0.25 = 24
so we have 24 dimes
then to find nickels, we plug in 24 for d into
n = 3d - 8
and get
n = 3(24) - 8
n = 72 - 8
n = 64
therefore we have
64 nickels
and
24 dimes
