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Tomtit [17]
3 years ago
12

the function y=3.28x converts length from x meters to y feet Im really stuck im not real sure what to do

Mathematics
1 answer:
lakkis [162]3 years ago
7 0

Step-by-step explanation: So this one can be a little confusing, but I think I can help. You see if 'y'= number of feet and 'x'= number of meters then y=3.28x is a way for you to figure out how many feet are constant to every meter.

Look at it more like, Number of Feet= 3.28 times the number of meters.

If you want to figure out many feet are constant to let's say...2 meters, then you would replace the 'x' variable with 2 and multiply it by 3.28.

It would look something like this:

y=3.28(2)

y= 6.56


Thus, every 1 feet there are 6.56 meters, or 6.56 meters equals 1 foot.

Hope this helps a little, tell me if you need anymore help with this!


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Answer:

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Step-by-step explanation:

5 0
3 years ago
Does this graph show a function explain how you know
Semenov [28]

The correct option is Option D: Yes, the graph passes the vertical line test.

The function is a relationship between two distinct sets X and set Y which can be many-one or one-one. here set X is called the domain and set Y is called the codomain.

The vertical line test states that

If we draw a straight vertical line( which is also parallel to the y-axis) and it touches the graph at only one point at all locations, then that relation is said to be a function and this relation will be also one-one.

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If we draw a vertical line parallel to the y-axis in this at any location then it crosses the graph only once. So, it passes vertical line test. And this graph is a function. Therefore option D is correct.

Learn more about function

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3 0
2 years ago
Can someone make sure the first 3 questions are correct and help me on the 4th one?
Ratling [72]
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4 0
3 years ago
Whats the cost of each vegetable if 5 squash and 2 zucchini is $1.32​
alex41 [277]

Answer:

Step-by-step explanation:

 

We first need to define a couple of variables.  Let s = the cost of 1 squash and z = the cost of 1 zucchini.

 

Now lets translate the words into algebra:

 

"The cost of 5 squash and 2 zucchini is $1.32"  ===>  5s  +  2z  =  1.32

 

"Three squash and 1 zucchini cost $0.75"  ===>   3s  +  z  =  0.75

 

There are several ways to solve systems of equations.  Let's use substitution.  We can find what z equals in terms of s by manipulating the second equation:

 

 3s  +   z   =   0.75

-3s                 -3s

------------     -------------

           z    =  -3s  +0.75

 

Now lets substitute (-3s + 0.75) into the first equation for z, then solve for s:

 

 5s + 2(-3s + 0.75) = 1.32

 

Can you handle it from here?

 

(Hint: Once you have solved for s, you can substitute that value back into either of the equations and solve for z.)

3 0
3 years ago
The angle of elevation from me to the top of a hill is 51 degrees. The angle of elevation from me to the top of a tree is 57 deg
julia-pushkina [17]

Answer:

Approximately 101\; \rm ft (assuming that the height of the base of the hill is the same as that of the observer.)

Step-by-step explanation:

Refer to the diagram attached.

  • Let \rm O denote the observer.
  • Let \rm A denote the top of the tree.
  • Let \rm R denote the base of the tree.
  • Let \rm B denote the point where line \rm AR (a vertical line) and the horizontal line going through \rm O meets. \angle \rm B\hat{A}R = 90^\circ.

Angles:

  • Angle of elevation of the base of the tree as it appears to the observer: \angle \rm B\hat{O}R = 51^\circ.
  • Angle of elevation of the top of the tree as it appears to the observer: \angle \rm B\hat{O}A = 57^\circ.

Let the length of segment \rm BR (vertical distance between the base of the tree and the base of the hill) be x\; \rm ft.

The question is asking for the length of segment \rm AB. Notice that the length of this segment is \mathrm{AB} = (x + 20)\; \rm ft.

The length of segment \rm OB could be represented in two ways:

  • In right triangle \rm \triangle OBR as the side adjacent to \angle \rm B\hat{O}R = 51^\circ.
  • In right triangle \rm \triangle OBA as the side adjacent to \angle \rm B\hat{O}A = 57^\circ.

For example, in right triangle \rm \triangle OBR, the length of the side opposite to \angle \rm B\hat{O}R = 51^\circ is segment \rm BR. The length of that segment is x\; \rm ft.

\begin{aligned}\tan{\left(\angle\mathrm{B\hat{O}R}\right)} = \frac{\,\rm {BR}\,}{\,\rm {OB}\,} \; \genfrac{}{}{0em}{}{\leftarrow \text{opposite}}{\leftarrow \text{adjacent}}\end{aligned}.

Rearrange to find an expression for the length of \rm OB (in \rm ft) in terms of x:

\begin{aligned}\mathrm{OB} &= \frac{\mathrm{BR}}{\tan{\left(\angle\mathrm{B\hat{O}R}\right)}} \\ &= \frac{x}{\tan\left(51^\circ\right)}\approx 0.810\, x\end{aligned}.

Similarly, in right triangle \rm \triangle OBA:

\begin{aligned}\mathrm{OB} &= \frac{\mathrm{AB}}{\tan{\left(\angle\mathrm{B\hat{O}A}\right)}} \\ &= \frac{x + 20}{\tan\left(57^\circ\right)}\approx 0.649\, (x + 20)\end{aligned}.

Equate the right-hand side of these two equations:

0.810\, x \approx 0.649\, (x + 20).

Solve for x:

x \approx 81\; \rm ft.

Hence, the height of the top of this tree relative to the base of the hill would be (x + 20)\; {\rm ft}\approx 101\; \rm ft.

6 0
3 years ago
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