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pashok25 [27]
3 years ago
8

A suspension bridge has a cable shaped like a parabola. The bridge is supported by two towers. The towers are meters apart. If t

he cable is meters high when it is meters from the center of the bridge, what is the height of one of the towers

Mathematics
1 answer:
scZoUnD [109]3 years ago
6 0

Answer:

hello your question is incomplete attached below is the complete question

answer : 54 m

Step-by-step explanation:

Applying jet equation of Parabola

(x-h)^2 = 4p (y-k)  where (h,k) = 0

x^2 = 4py and this passes through ( 48, 24 )

(48)^2 = 4(p)(24)

hence P = 24

x^2 = 96h  at x = 72 and y(h) unknown

= 72^2 = 96(h)

h = 72^2 / 96 = 54 m

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A spherical balloon has a circumference of 25 cm.
ArbitrLikvidat [17]

Answer:

See below ↓↓

Step-by-step explanation:

<u>Finding the radius</u>

  • C = 2πr
  • 25 = 2 x 3.14 x r
  • r = 25 / 6.28
  • r = 3.98 cm ≅ 4 cm

<u />

<u>Surface Area</u>

  • 4πr²
  • 4 x 3.14 x 4 x 4
  • 3.14 x 64
  • 200.96
  • <u>201 cm²</u>

<u></u>

<u>Volume</u>

  • 4/3πr³ = 4πr² x r/3
  • 201 x 4/3
  • 67 x 4
  • <u>268 cm³</u>
4 0
2 years ago
How many solutions exist for the given equation? 3x 13 = 3(x 6) 1 zero one two infinitely many
romanna [79]

An equation is formed of two equal expressions. There is no solution set of the equation 3x+13 = 3(x+6)+1.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation can be solved in the following manner,

3x+13 = 3(x+6)+1\\3x+13=3x+18+1\\3x+13=3x+19

Since both the sides of the equation are the same in terms of variable and the constant terms are not the same. Therefore, there is no solution set of the equation 3x+13 = 3(x+6)+1.

Learn more about Equation:

brainly.com/question/2263981

8 0
2 years ago
. Micro Office Products has issued 5,000 shares of cumulative preferred stock that will earn dividends at $2.38 per share; it ha
quester [9]
110000 is the total dividends of both preferred stock and common stock
So we need to find the dividend per share common stock

First find the total dividends of preferred stock
5,000×2.38=11,900


Subtract the total dividends of preferred stock for the total dividends to find the total dividends of common stock
110,000−11,900=98,100

Finally divide the total dividends of common stock by the number of common stock to find the dividend per share of common stock
98,100÷12,000=8.175....answer

Hope it helps!
5 0
3 years ago
Solve the following system of equations graphically on the set of axes below.
eimsori [14]

Answer:

  (x, y) = (3, 5)

Step-by-step explanation:

To solve these equations graphically, you plot each one, then identify the coordinates of the point of intersection.

The first equation can be graphed using the y-intercept of -1 and the slope of 2.

The second equation has a y-intercept of 18/3 = 6, and a slope of -1/3. The x-intercept of 18 is off the chart, so the slope and intercept are a good way to plot this line, too.

__

The slope is the "rise" divided by the "run". A slope of 2 means the line goes up 2 units for each unit to the right. A slope of -1/3 means the line goes down 1 unit for each 3 units to the right.

The solution is (x, y) = (3, 5).

8 0
2 years ago
Solving a system of linear equations of the form, y=mx+b
Fittoniya [83]
X= 7
y=77
im not 100% though
6 0
3 years ago
Read 2 more answers
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