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choli [55]
2 years ago
5

A suspension bridge spans a river 1350 ft. wide. 30% of the bridge is on one side of the river and 25% is on the other side. The

total length of the suspension bridge is ______ ft.
Mathematics
1 answer:
faltersainse [42]2 years ago
5 0

Answer:

742.5 feet

Step-by-step explanation:

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Find the two numbers that have a<br> difference of 3 and a sum of 27.
polet [3.4K]
12 and 15 

15-12=3
15+12=27
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2 years ago
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The length of each edge of a cube is x centimeters. If x is an integer, why is the volume of the cube not equal to 15m^3?
Nadusha1986 [10]

Suppose the length of each side of the cube is x, so the volume must be:  

x^3.  

If the volume is 15 cm^3, so the length must be cuberoot(15) which is not integer,. So, the volume of the cube with integer side never equal with 15 cm^3

4 0
3 years ago
y = c1 cos(5x) + c2 sin(5x) is a two-parameter family of solutions of the second-order DE y'' + 25y = 0. If possible, find a sol
TEA [102]

Answer:

y = 2cos5x-9/5sin5x

Step-by-step explanation:

Given the solution to the differential equation y'' + 25y = 0 to be

y = c1 cos(5x) + c2 sin(5x). In order to find the solution to the differential equation given the boundary conditions y(0) = 1, y'(π) = 9, we need to first get the constant c1 and c2 and substitute the values back into the original solution.

According to the boundary condition y(0) = 2, it means when x = 0, y = 2

On substituting;

2 = c1cos(5(0)) + c2sin(5(0))

2 = c1cos0+c2sin0

2 = c1 + 0

c1 = 2

Substituting the other boundary condition y'(π) = 9, to do that we need to first get the first differential of y(x) i.e y'(x). Given

y(x) = c1cos5x + c2sin5x

y'(x) = -5c1sin5x + 5c2cos5x

If y'(π) = 9, this means when x = π, y'(x) = 9

On substituting;

9 = -5c1sin5π + 5c2cos5π

9 = -5c1(0) + 5c2(-1)

9 = 0-5c2

-5c2 = 9

c2 = -9/5

Substituting c1 = 2 and c2 = -9/5 into the solution to the general differential equation

y = c1 cos(5x) + c2 sin(5x) will give

y = 2cos5x-9/5sin5x

The final expression gives the required solution to the differential equation.

3 0
3 years ago
What is the 11th term of the sequence<br> 1, 2, 4, 8, 16, ...?
iris [78.8K]

Answer:

1024

Step-by-step explanation:

16x2=32

32x2=64

64x2=128

128x2=256

256x2=512

512x2=1024

x= previous term multiplied by 2

hopefully this helps :)

5 0
2 years ago
10 Points if you answer this!!!!
Vera_Pavlovna [14]

Answer:

1 result(s) found

25

9⋅(r−25)

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Step-by-step explanation:

5 0
3 years ago
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