The firts thig we are going to do is create tow triangles using the angles of elevation of Paul and Jose. Since the problem is not giving us their height we'll assume that the horizontal line of sight of both of them coincide with the base of the tree.
We know that Paul is 19m from the base of the tree and its elevation angle to the top of the tree is 59°. We also know that the elevation angle of Jose and the top of the tree is 43°, but we don't know the distance between Paul of Jose, so lets label that distance as

.
Now we can build a right triangle between Paul and the tree and another one between Jose and the tree as shown in the figure. Lets use cosine to find h in Paul's trianlge:



Now we can use the law of sines to find the distance

between Paul and Jose:



Now that we know the distance between Paul and Jose, the only thing left is add that distance to the distance from Paul and the base of the tree:

We can conclude that Jose is 33.9m from the base of the tree.
Seven pizzas: 7 pizzas
Shared between 3 friends: 7 pizzas / 3 friends
Simplify the fraction:
7 / 3
(3 goes into 7 twice, 7 - 6 = 1)
2 1/3
The fraction of pizza that each friend gets is 2 1/3.
Hope this helps!! :)
Answer:
- Least Value = 2
- Median = 6
- Greatest Value = 10
- Third Quartile = 8
- Range = 8 (10 - 2 = 8)
- First Quartile = 5
Step-by-step explanation:
9514 1404 393
Answer:
2.25
Step-by-step explanation:
Add the square of half the x-coefficient to complete the square.
(-3/2)² = 9/4 = 2.25
Answer:
Step-by-step explanation:
2b^2 - 3b + 4a^2........a =-6 and b = 8
now we sub
2(8^2) - 3(8) + 4(-6^2)
2(64) - 24 + 4(36)
128 - 24 + 144
272 - 24
248 <==