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UNO [17]
3 years ago
15

6.6.4 Practice: Modeling: Pendulums and Bridges Practice Algebra II YOUR ASSIGNMENT: Over the ravine! You are helping to design

a road for a high mountain pass. There are two routes over the pass, but both have to cross steep ravines. Use what you know about solving radical functions to design a bridge that will safely cross the ravine. Your bridge 1. What is the horizontal distance that your bridge must span to clear the ravine? (1 point) The figure below represents your bridge, where the horizontal distance from one edge of the ravine to the other is x, the rise of the bridge from one side of the ravine to the other is y, and the length of the bridge deck is r. 2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for r in terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution) 3. There are several possible heights at which the higher end of the bridge can be attached to the higher mountain. Fill in the table below to use 5 possible values for y, and calculate the resulting values for r. (5 points: 1 point for each line of the chart) x x2 y y2 Slope (rise/run) r 0 2.5 5 7.5 10 Maximum slope of your bridge For automobile safety, the maximum slope that a highway can have is 6%, or 0.06. A surveyor measures the angle from one edge of the ravine to the other and determines that your bridge should have a slope of 0.06. You need to find the length of your bridge if it has a slope of 0.06. This will tell you how much pavement is needed for the bridge deck 4. Use the definition of slope to calculate the exact rise of the bridge, y. (3 points: 2 points for work, 1 point for the solution) 5. How long is the deck of the bridge? Show how you calculated r. (3 points: 2 points for work, 1 point for the solution) Hold on tight! One of the cons
Mathematics
1 answer:
Gnoma [55]3 years ago
7 0

Answer:

1. 100 feet

Step-by-step explanation:

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I need help with this question !!!!!!!
steposvetlana [31]

Answer:

f(x) = -5 if -5 <= x <= -3

f(x) = -2 if -3 < x <= 2

f(x) = 5 if 2 < x <= 6

Step-by-step explanation:

This is a simple piece wise function. Notice there are three lines or "solutions" for y-values over a range of x-values. Also notice there are filled in and not filled in circles. If the circle is not filled in, then it is not a solution. If it is, then it is a solution.

So for this, -5 is the solution if the range of x is from -5 through -3 inclusive since it has filled in circles.

-2 is a solution if the range of x is from -3 exclusive through 2 inclusive since at -3 it's open circle and 2 is filled.

5 is a solution if the range of x is from 2 exclusive through 6 inclusive since 2 it's open circle and 6 is filled.

To right that in notation simply

f(x) = -5 if -5 <= x <= -3

f(x) = -2 if -3 < x <= 2

f(x) = 5 if 2 < x <= 6

Cheers.

6 0
3 years ago
Which is equivalent to x^3 y^-7
PilotLPTM [1.2K]

For this case we must find an expression equivalent to:

x ^ 3 * y ^ {- 7}

By definition of power properties we have to meet:

a ^ {-1} = \frac {1} {a ^ 1} = \frac {1} {a}

Then, we can rewrite the expression as:

x ^ 3 * \frac {1} {y ^ 7} =\\\frac {x ^ 3} {y ^ 7}

Answer:

\frac {x ^ 3} {y ^ 7}

8 0
3 years ago
Solve the system below using elimination<br> {5x+9y= -10}<br> {7x+10y= -1}
bixtya [17]

∑Hey , jillianwagler ⊃

Answer:

x = 7, y = -5

Step-by-step explanation:

<u><em>Given~:</em></u>

<em>Solve the system below using elimination</em>

<em>{5x+9y= -10}</em>

<em>{7x+10y= -1}</em>

<u><em>Solve:</em></u>

<u><em></em></u>\begin{bmatrix}5x+9y=-10\\ 7x+10y=-1\end{bmatrix}

Isolate x ( 5x + 9y = -10 ) : \mathrm{x=\frac{-10-9y}{5}}

Substitute: \mathrm{x=\frac{-10-9y}{5}}

\begin{bmatrix}7\cdot \frac{-10-9y}{5}+10y=-1\end{bmatrix}

\begin{bmatrix}\frac{-70-13y}{5}=-1\end{bmatrix}

Isolate y : \frac{-70-13y}{5}=1:y=-5

Substitute: y=-5

x=\frac{-10-9\left(-5\right)}{5}=7

Hence, x=7

Therefore, the solution for \begin{bmatrix}5x+9y=-10\\ 7x+10y=-1\end{bmatrix} are:

x=7,\:y=-5

<u><em>xcookiex12</em></u>

<u><em></em></u>

<em>8/19/2022</em>

6 0
2 years ago
96 fl oz compared to 8 pt
kirill [66]
Well,
96fl oz is equal to 6 pints.
96 fl oz= 6 pints

So witch is bigger, 6 pints ( 96fl oz) or 8 pints?


Your answer is,<u> 8 pints is greater than 96fl oz (6 pints).</u>


Hope this helped!
Good luck on your home work! (:
3 0
3 years ago
Rachel has 60 scones. She sells them to Robbie, Cameron, Louis, Tom and
Nutka1998 [239]
We can start by writing all that we know about the problem. Let us write down how many scones each boy has:
R_{o} : x
C_{a} : x+k
L_{o} : x+2k
T_{o} : x+3k
C_{h} : x+4k
Note that k is the increase, we know it's a constant. This is not a system of equations, please keep that in mind. We will use rest of the information given to build the system. We have two variables x (the number of cookies the first boy bought) and k( the increase), that means we need to have two equations to solve this problem. 
We know that total amount of scones is 60, so we can use that information to build our first equation. We sum all of the scones and we get 60. 
R_{o}+C_{a}+L_{o}+T_{o}+C_{h}=60
5x+10k=60
We know that Robbie and Cameron combined have 3/7 of <span>Louis, Tom and Charlie combined. We can use this information to build our second equation.
</span>R_o+C_a= \frac{3}{7} (L_o+T_o+C_h)
2x+k= \frac{3}{7} (x+2k+x+3k+x+4k)
2x+k= \frac{3}{7} (3x+9k)
14x+7k=9x+27k
5x=20k
x=4k
Now this piece of information alows us to solve the first equation that we made and this will solve our problem. We simply plug in x=4k into 5x+10k=60.
5(4k)+10k=60
30k=60
k=2
Now we can plug this information into the same equation 5x+10k=60 and get x.
5x+10(2)=60
5x=40
x=8
And that's it. Now we can write out how many cookies each boy has bought.
R_{o} : x=8
C_{a} : x+k=10
L_{o} : x+2k=12
T_{o} : x+3k=14
C_{h} : x+4k=16
If you add them all up you get 60.
3 0
3 years ago
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