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:
18 rubber band bracelets
Step-by-step explanation:
1 hour = 4 bracelets
4.5 hours = ?
4.5 hours/× 4 bracelets
_______
1 hour/
4.5×4 bracelets = 18 bracelets
In an hour Jessica makes four bracelets and in 4.5hours she makes how many bracelets ,we don't know , obviously in 4.5hours she would make more so if more less will divide.
so 4.5hours over 1hour times 4 bracelets. so hour will cancel hour and now 4.5 times 4 bracelets is equal to 18 bracelets
Answer:
3.75 cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product
Step-by-step explanation:
This question can be solved by a rule of three.
A recipe says that 1 and 3/4 cups of baking soda are needed to make one batch of a homemade cleaning product.
1 + 3/4 cups = 1 + 0.75 = 1.75 cups for one batch.
How many total cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product?
2 and 1/2 batches is 2 + 0.5 = 2.5 batches.
1.75 cups for one batch. How many cups for 2.5 batches? So
1 batch - 1.5 cups
2.5 batches - x cups
c = 2.5*1.5 = 3.75
3.75 cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product
Answer
16π cm ≈ 50.2655 cm
Step-by-step explanation
To find the circumference of a circle, we can use the equation C = 2πr.
C stands for the circumference while r stands for the radius. We can see that there is a proportional positive linear relationship between radius and circumference for all circles, and that to find circumference when we have a radius value, we multiply the radius value by 2π.
The value of π, also called pi, is a constant and is the ratio of a circle's circumference to its diameter (the diameter is twice the radius, hence the 2 in the equation). Note that π is a constant and applies to all circles because all circles are similar.
Since we know the value of r, or the radius, given as 8 cm in the question, we can plug this value into the equation C = 2πr from earlier.
C = 2πr (plug in 8 cm for the radius)
C = 2π * 8
C = 16π cm
Since the radius is in units of cm (centimeters), the circumference is also in units of cm (centimeters).
16π cm is the exact value of the circumference. However, if we want this circumference in decimal form, we would multiply 16 by the decimal form of π which is approximately 3.1416. Note that π actually has an infinite amount of decimals and that this 3.1416 is actually a rounded π value
C = 16π
C ≈ 16 * 3.1416
C ≈ 50.2655 cm rounded to four decimal places