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Jobisdone [24]
3 years ago
14

7. In some places, a suspension bridge is the only passage over a river. The height of one such bridge, h, in metres, above the

riverbed can be modelled by h = 0.005x^2 + 24.
a) How many zeros do you expect the relation to have? Why?
b) If the area was flooded, how high could the water level rise before the bridge was no longer safe to use?

I have answered a) but I don't know how to do b). The book says the answer is 24m if that helps. Any suggestions are appreciated.
Mathematics
1 answer:
Cloud [144]3 years ago
4 0
Sure. The function is a parabola. Because the coefficient of the x^2 term is positive, it opens upward. that means that it vertex is a minimum point.

You can verify that the vertex is (0,24). That means that at the point x=0, the height of the bridge is 24m. So if the level water rises below 24 m, the bridge is safe to use.
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Suppose the movie theater you work at sells popcorn I'm three different sizes. A small cost $2, a medium cost $5, and a large co
VMariaS [17]

Let, number of small, medium and large popcorn sold are s, m and l respectively.

So, s + m + l = 250    ....1)

Also, l = 2s     ....2)

Total sum = $1726 = 2s + 5m + 10l     .....3)

Putting value of l from 2) to 1) is :

s + m + 2s = 250

m + 3s = 250    

m = 250 - 3s      ....4)

Putting value of m and l in terms of s in equation 3)

We get :

2s + 5( 250 - 3s ) + 20s = 1726

7s = 1726 - 1250

s = 68

l = 136

m = 250 -3(68) = 46

Now,

P_s=68\times 2 = \$136\\\\P_m = 46\times 5 = \$230\\\\P_l = 136\times 10 = \$1360

Hence, this is the required solution.

8 0
3 years ago
He following diagram, the ship is anchored to the ocean floor. The length of the rope attaching the
mr_godi [17]

The distance between the boat and the ocean's floor is 19m

<h3>How to get the distance from the ship to the ocean's floor?</h3>

We can see this as a right triangle, where the rope with the anchor is the hypotenuse. So we already know that the hypotenuse measures 30m.

We also know an angle, it measures 39°, and we want to get the opposite cathetus to said angle (the height).

Then we use the relation:

Sin(a) = (opposite cathetus)/(hypotenuse).

Replacing the values that we know, we get:

Sin(39°) = d/30m

sin(39°)*30m = d = 18.9m ≈ 19m

The distance between the boat and the ocean's floor is 19m.

If you want to learn more about right triangles, you can read:

brainly.com/question/2217700

4 0
2 years ago
What property of a rhombus is used in this proof of showing that a triangle is an equilateral triangle?
iragen [17]

Answer:

Step-by-step explanation:

4 0
2 years ago
3.<br> * + 4y = 6<br> = -x +3<br> What is the answer
miv72 [106K]

Answer:

the answers is -4

Step-by-step explanation:

-1+3 I think this the answer

6 0
3 years ago
Help? i'll mark brainliest if correct
Strike441 [17]

Answer:

36,686

Step-by-step explanation:

5.88 x 12 over 10 = 240

240 x 26 = 36,686

5 0
3 years ago
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