Answer:
A) 46
Step-by-step explanation:
230+9x=14x
230=5x
230/5=x
x=46
CHECK:
230+9(46)=644
14*46=644
Well if the question is asking how many times she can play laser tag, the equation can be 5 divided by 35 or u can just subtract 5 away from 35 7 times,
The hexagon is made up of two trapezoids, each having the following dimensions:

So, its total area is the sum of the areas of those two trapezoids.

Answer:
$7.55
Step-by-step explanation:
We can solve this by using a system of equations. The equations would be set up like this:

Let's isolate a variable in the first equation:

Now we can plug this in to the second equation:

Now that we have found c we can find p by plugging c in to an equation

We have found both variables now we can use the following equation to answer the question:

Therefore, the price in dollars of 4 cucumbers and 3 peppers is $7.55.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
Answer:
11.5 m
Step-by-step explanation:
The problem can be solved using a trig relation that relates the side opposite the angle to the side adjacent to the angle. That relation is ...
Tan = Opposite/Adjacent
The lengths of the adjacent sides of the triangle can be found by rearranging this formula:
Adjacent = Opposite/Tan
__
The "opposite" side of the triangle is the height of the tree, which we can represent using h. The problem statement tells us of a relation between adjacent side lengths and angles:
h/tan(25°) -h/tan(50°) = 15 . . . . . moving 15 meters changes the angle
h(1/tan(25°) -1/tan(50°)) = 15
h = 15·tan(25°)·tan(50°)/(tan(50°) -tan(25°)) = 15(0.55572/0.72545)
h ≈ 11.4907 . . . . meters
The height of the tree is about 11.5 meters.