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andrey2020 [161]
3 years ago
12

Find the value of x.

Mathematics
1 answer:
Svetllana [295]3 years ago
7 0
X=3.5 because this triangle is equilateral and if one of the sides is = to 4 all of the sides will be = to 4! so 2x-3=4 would be the equation you would use so that you would add 3 to both sides of the equation and then divide each side by 2 to get your final answer of 3.5!
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Paul and jose are trying to measure the height of a tree. paul is standing 19m from the foot of the tree and measures the angle
Nina [5.8K]
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 x.
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:
cos(59)= \frac{19}{h}
h= \frac{19}{cos(59)}
h=36.9
Now we can use the law of sines to find the distance x between Paul and Jose:
\frac{sin(43)}{36.9} = \frac{sin(16)}{x}
x= \frac{36.9sin(16)}{sin(43)}
x=14.9

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:
19m+14.9=33.9m

We can conclude that Jose is 33.9m from the base of the tree.

3 0
3 years ago
Tatum wants to use partial products to find 15x32
skelet666 [1.2K]
You do
10x30 + 10x2 + 5x30 +5x2
6 0
3 years ago
two trains leave the station at the same time one heading west and the other East the westbound train travels at 55 miles per ho
Diano4ka-milaya [45]
Recall your d = rt, distance = rate * time

so... one train goes west and the goes the opposite way... alrite... so... notice, by the time 338 miles have been covered by both, it will have been "t" hours, and whatever "t" is, is the same amount of time the westbound train has been running as well as the eastbound train has been running.

now, let's say, since by "t" hours they've covered 338 altogether, so, if the westbound train has covered say "d" miles, then the eastbound train would have covered the slack from 338 and d, that is, "338 - d".

\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
Westbound&d&55&t\\
Eastbound&338-d&75&t
\end{array}
\\\\\\
\begin{cases}
\boxed{d}=55t\\
338-d=75t\\
----------\\
338-\boxed{55t}=75t
\end{cases}
\\\\\\
338=75t+55t\implies 338=130t\implies \cfrac{338}{130}=t\implies \stackrel{hours}{2.6}=t

so, 2hours and 36 minutes.
8 0
3 years ago
Which of the following methids would be the easiest to slove 3x^2-4x-2=0
lys-0071 [83]
Using the Quadratic Function, Such Means x = - b + or - the square root of - 4 a c over 2 a. 

After you do it you would get the answer :

Hoped I Helped, Have A Great Day :)

5 0
2 years ago
Help me, I don't understand this problem
Crank
Read some notes on reflection. If it asks to reflect it on the x-axis youre going to reflect it either on the bottom or top plane. If it asks to reflect on y-axis youre going to reflect it on either the left or right plane.
5 0
3 years ago
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