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.
Answer:
sum = -15h+2
Step-by-step explanation:
Answer:
x = - 2, x = 9
Step-by-step explanation:
Given
f(x) =
The denominator of f(x) cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the values that x cannot be.
x² - 7x - 18 = 0
(x - 9)(x + 2) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 9 = 0 ⇒ x = 9
The excluded values are x = - 2, x = 9
Answer:
9 Model As.
Step-by-step explanation:
Let A represent Press A and let B represent Press B.
So, they own 14 total presses. This means that:
They can print 905 books per day, in other words, since A prints 70 per day and B prints 55 per day:
This is now a system of equations. Solve by substitution. From the first equation, subtract B from both sides:
Substitute this into the second equation: "
First, we can divide everything by 5 to simplify things:
Distribute the left:
Combine like terms:
Subtract 196 from both sides:
Divide both sides by -3
So, the company has 5 Model B presses.
Which means that the company has 14-5 or 9 Model A presses.
And we're done!
Answer:
1/6 + 4/6 = 5/6
Step-by-step explanation:
I hope this helped