A suspension bridge with weight uniformly distributed along its length has twin towers that extend 55 meters above the road surface and are 1200 meters apart. The
cables are parabolic in shape and are suspended from the tops of the towers. The cables touch the road surface at the center of the bridge. Find the height of the
cables at a point 300 meters from the center. (Assume that the road is level.)
The height of the cables is meters.
(Simplify your answer.)

Answer:

it is a b and c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Divide 360 by the number of sides in a regular polygon to find θ

θ = 360/5 = 72°

Use law of cosines to find the radius of the circle which equals the common length sides of the isosceles triangle

12² = R² + R² - 2•R•Rcos72

12² = 2R² - 2R²cos72

12² =  2R²(1 - cos72)

R² = 12² / 2(1 - cos72)

R² = 104.1993788...

R = 10.2078...

The height of the isosceles triangle is

h = Rcos(θ/2) = 10.2078cos(72/2) = 8.258291...

The shaded area is the area of the circle minus the area of the pentagon.

A = π(104.1993) - 5(½(12)(8.258291))

A = 327.35200... - 247.74874...

A = 79.6032575...

A = 79.60 units²

The Area of the shaded region is A = 79.60 units²

A planar triangle's side's square is equal to the sum of the squares of the other sides minus the product of those sides and the cosine of the angle that separates them by two.

Given:

length= 12

So, Divide 360 by the number of sides in a regular polygon

θ = 360/5

θ = 72°

Use law of cosines

12² = R² + R² - 2 x R x Rcos72

12² = 2R² - 2R² cos72

12² =  2R²(1 - cos72)

R² = 12² / 2(1 - cos72)

R² = 104.1993788...

R = 10.2078...

Thus, the height of the isosceles triangle is

h = R cos(θ/2)

   = 10.2078cos(72/2)

   = 8.258291...

and, the shaded area is

A = π(104.1993) - 5(½)(12)(8.258291))

A = 327.35200 - 247.74874

A = 79.6032575

A = 79.60 units²

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9514 1404 393

Answer:

  C(3, -2)

  D(1, 7)

Step-by-step explanation:

It looks like your tool will do the rotation for you and give you the coordinates. The image(s) should look like the attached.

Answer: Up to 300 ml because that is all she has in total. I think the question is missing parts.

Step-by-step explanation:

Hi how u doin ?

[tex] log( \frac{x}{x + 1} ) = \\ [/tex]

[tex] log(x) - log(x + 1) [/tex]

Have a great day ❤

Answer:

Step-by-step explanation:

Given function:

Find its inverse, take f(x) as y and swap x with y

Replace y with f⁻¹(x):

Correct choice is B

A x is equal to the quantity x plus 3 end quantity over the quantity x minus 4 end quantity where x ­ 4. at x = 0.5, the inverse function f²(-1)(x)  f²(-1)(x) = 0.5

To determine the inverse of the function f(x) = (x + 3) / (x - 4),  to follow these steps:

Replace f(x) with -1, since you're looking for the inverse at the point where f(x) = -1:

-1 = (x + 3) / (x - 4)

Solve for x in terms of -1:

Multiply both sides by (x - 4):

-1 ×(x - 4) = x + 3

Distribute the -1:

-x + 4 = x + 3

Solve for x:

Subtract x from both sides:

4 = 2x + 3

Subtract 3 from both sides:

1 = 2x

Divide by 2:

x = 0.5

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Okay, suppose your income is about $100.

You might spend $70 & save $30.

Now, suppose your income remains constant at $100 but your expenses go up to, say, $90. You can see that your savings will reduce or decrease. Now, you'll only have about $10 to save.

=》 So, if your income is constant, then your savings will 'decrease' when your expenses increase.

_______

RainbowSalt2222 ☔

Step-by-step explanation:

Thereafter,

Distance :-

Time :-

Average Speed :-

Answer:

EF

Step-by-step explanation:

I think the answer is EF because turning the line counterclockwise and 80 degree angle would be that.

Answer: 4

Step-by-step explanation:

It crosses on the y axis at the point (0,4)

Answer:

4

Step-by-step explanation:

The y-intercept of the line shown is 4.

Hope this helps :)

B

dont trust me on this i solved it but i got a completely different answer which is not on the list. I got 6 as the answer.

Answer:

-15

Step-by-step explanation:

5 * -3 = -15

x = -3

5x = 5(-3)

5(-3) = -15

Answer:

what

Step-by-step explanation:

Answer:

Appologies but Why do you have pOn open?

Step-by-step explanation:

umm that is inapropriate but idrc

Answer:

X=2.436

Step-by-step explanation:

Step-by-step explanation:

the equation :

(y-3)/(3-3) = (x-8) /(7-8)

(y-3) /0 = (x-8) /(-1)

(-1)(y-3) = 0(x-8)

-y +3 = 0

y = 3

(this is a horizontal line)

Answer:

y = 3 (Horizontal line)

Step-by-step explanation:

point: (8, 3) and (7, 3)

(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)

(y - 3)/(3 - 3) = (x - 8)/(7 - 8)

(y - 3)/0 = (x - 8)/(-1)

(-1)(y - 3) = 0

-y + 3 = 0

-y = - 3

y = 3 (Horizontal line)

Answer:

  x = 6

Step-by-step explanation:

12(x -2) +3x = 1/3(x +12) +10x

12x -24 +3x = 1/3x +4 +10x . . . . . eliminate parentheses

15x = (10 1/3)x +28 . . . . . . . . . . add 24, collect terms

(4 2/3)x = 28 . . . . . . . . . . . . . subtract 10 1/3

x = (3/14)(28) = 6 . . . . . . . . multiply by 1/(4 2/3) = 3/14

The value x=6 satisfies the equation.

This is Linear graph.

Linear graph is represented in the form of a straight line. ... If the graph of any relation gives a single straight line then it is known as a linear graph. The word "linear" stands for a straight line. The linear graph is a straight line graph that is drawn on a plane connecting the points plotted on x and y coordinates.

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Check the picture below.

[tex]\textit{volume of a pyramid}\\ V = \cfrac{Bh}{3}~~ \begin{cases} B = \stackrel{\textit{area of its base}}{50\times 50}\\ h = \stackrel{\textit{its height}}{60} \end{cases}\qquad \implies V = \cfrac{50\cdot 50\cdot 60}{3}\implies \boxed{V= 50000}[/tex]

Answer:

25

Step-by-step explanation:

turn 68% into a decimal (or keep as a percentage, your choice) and divide

17 divided by 0.68 (68% as a decimal) = 25

Answer:

The volume of a 3-dimensional unit cube is 1 cubic unit, and its total surface area is 6 square units.

Answer:

Step 1, do math:

-13.6  >= 1.7x

-8 >= x

answer: C

Answer:

262.25 $

Step-by-step explanation:

Answer:

  68. (-1, 0)

  69. (0, 2)

  70. (2, -1)

Step-by-step explanation:

The solution is the ordered pair (x, y) where the lines intersect. The graphs have no scale, so we must assume 1 grid space corresponds to 1 unit.

The first coordinate of the pair is the horizontal distance from the y-axis. Positive is to the right. The second coordinate of the pair is the vertical distance from the x-axis. Positive is up.

68. The point of intersection is 2 left of the origin on the x-axis. x=-2, y = 0.

  (x, y) = (-2, 0)

__

69. The point of intersection is 2 up from the origin on the y-axis: y = 2, x = 0.

  (x, y) = (0, 2)

__

70. The point of intersection is 2 right and 1 down from the origin: x = 2, y = -1.

  (x, y) = (2, -1)

_____

It is a good idea to learn to read the coordinates of a point from a graph. You will be doing it a lot in your math courses.

Answer: f(-9)

Step-by-step explanation:

A function is described in the form of f(x)

Therefore, if this is how a function is stated we have x as the input.

Here, the x is equal to -9

So now:

f(-9) after substitution.

Answer:

8.85 * 10 ^17

Step-by-step explanation:

8.2 * 10 ^17 + 6.5 * 10 ^16

They must be to the same power to add

8.2 * 10 ^17 + .65 * 10 ^17

Add

8.85 * 10 ^17

Answer:

C. 128 cm³

Step-by-step explanation:

16(20) = 320

320/2.5 = 128 cm³

Answer:

1

Step-by-step explanation:

2/7+5/7=7/7=1 because 7/7 would be a 1 whole

Answer:

35/7

Step-by-step explanation:

4 = 28/7

28/7 + 2/7 + 5/7 = 35/7