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3 years ago

What is the value of x to the nearest tenth

Mathematics

1 answer:

natima [27]3 years ago

3 0

11.1901810337

I think

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A cable hangs between two poles of equal height and 35 feet apart. At a point on the ground directly under the cable and x feet

gayaneshka [121]

Answer:

293.38 pounds

Step-by-step explanation:

We are given that

Distance between poles=35 feet

$h(x)=10+0.1(x^{1.5})$

Weight of cable=10.4 per linear foot

We have to find the weight of the cable.

Differentiate w.r.t

$h'(x)=0.1(1.5)x^{0.5}=0.15x^{0.5}$

$s=2\int_{0}^{17.5}\sqrt{1+(h'(x))^2}dx$

$s=2\int_{0}^{17.5}\sqrt{1+(0.15x^{0.5})^2}dx$

$s=2\int_{0}^{17.5}\sqrt{1+0.0225x}dx$

Let $1+0.0225x=t$

$dx=\frac{1}{0.0225}dt$

$s=\frac{2}{0.0225}\int_{0}^{17.5}\sqrt{t}dt$

$s=\frac{2}{0.0225}\times\frac{2}{3}[t^{\frac{3}{2}}]^{17.5}_{0}$

$s=2\times \frac{2}{3\times0.0225}[(1+0.0255x)^{\frac{3}{2}]^{17.5}_{0}$

$s=\frac{4}{3\times 0.0225}((1+0.0225(17.5))^{\frac{3}{2}-1)$

s=28.21

Weight of cable= $28.21\times 10.4=293.38$ pound

8 0

3 years ago

Given ; 2(10-13x)+9x=-34x+60

rewona [7]

Try comparing your solution with the following:

Solution:

$2(10-13x)+9x=-34x+60\\(20-26x)+9x=-34x+60\\20-26x+9x=-34x+60\\20-17x=-34x+60\\20-60=-34x+17x\\-40=-17x\\x=\frac{40}{17}$

Answer:

$x=\frac{40}{17}$

Check:

$2[10-13(\frac{40}{17})]+9(\frac{40}{17})=-34(\frac{40}{17})+60\\-20=-20$

<em>Hope this was helpful.</em>

3 0

3 years ago

Can you draw a square with a perimeter of 20 units explain why or why not

Butoxors [25]

Yes because all sides would be equal to 5 which would give you 5*4 = 20 units.

7 0

3 years ago

Read 2 more answers

An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on t

Juliette [100K]

Answer:

Minimum unit cost = 5,858

Step-by-step explanation:

Given the function : C(x)=x^2−520x+73458

To find the minimum unit cost :

Take the derivative of C(x) with respect to x

dC/dx = 2x - 520

Set = 0

2x - 520

2x = 520

x = 260

To minimize unit cost, 260 engines must be produced

Hence, minimum unit cost will be :

C(x)=x^2−520x+73458

Put x = 260

C(260) = 260^2−520(260) + 73458

= 5,858

7 0

3 years ago

The perimeter of a rectangular sandbox is 28ft. The length is six times the width.

VLD [36.1K]

Let the width =x
length = 6x
p=14x
28=14x
x=2

7 0

3 years ago