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3 years ago

The city plans a roadway to have trees every 1/6 mile. If the path is 5 1/2 miles long, how many trees will the city need?

Mathematics

1 answer:

Lana71 [14]3 years ago

4 0

Answer: The city will need 33 trees.

Step-by-step explanation:

Hi, to answer this question we simply have to divide the length of the path (5 1/2 miles) distance between trees (1/6).

Mathematically speaking:

5 1/2 ÷ 1/6 = (5x2+1) /2 ÷1/6 = 11/2 ÷1/6 = (11x6) /(2x1) = 66/2 =33 trees

The city will need 33 trees.

Feel free to ask for more if needed or if you did not understand something.

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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

Select the antonym for the given word undaunted?

Mkey [24]

The Answer Is D) Afraid

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3 years ago

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A number cube is tossed and one card is randomly drawn. Find P(3, yellow) (BTW There are 5 cards 3 yellow 2 blue) The answer cho

adelina 88 [10]

I believe its 1/10 because there are 10 cards

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3 years ago

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Please help!!!!!!!!!!

pogonyaev

Answer:

By hypotenuse - side test (HL) the two triangles are congruent.

Step-by-step explanation:

In ∆ABC and ∆DCB

i) angleABC = angleDCB.....(each 90°)

ii) BC = BC .....( common side)

iii) AC = DB.....(given)

therefore by hypo-side test ∆ABC congruent ∆DCB

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3 years ago

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What is the value of m in the equation 1/2m-3/4n when n = 8?

kirill [66]

Answer:

$-\frac{1}{32}$

Step-by-step explanation:

$n = 8\\1/2(8) - 3/4(8) = 1/16-3/32$

Multiply the numerator and denomiator of 1/16 by 2 so that the denominators are equal and we can subtract.

$\frac{1}{16} *\frac{2}{2} =\frac{2}{32}$

Then, subtract

$\frac{2}{32} -\frac{3}{32} = \frac{2-3}{32} =- \frac{1}{32}$

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3 years ago