3 years ago

A square game board is divided into smaller squares, each with sides one-third the length of the sides of the board.

Mathematics

1 answer:

BaLLatris [955]3 years ago

6 0

It is divided into 3 squares

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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

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Help please!!!! Simplify the following Sqrt 100 x ^13

Ket [755]

Answer:

The answer is 10x^6 * sqrt x

Step-by-step explanation:

Hope it works

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Which of the following integers is a perfect square? A 36 B 48 C 44 D 32

Anika [276]

Answer:

Step-by-step explanation:

since 36=6² and the other option is not square of integer

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maw [93]

Answer:x equals 4

Step-by-step explanation:

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Daniela ha comprado una finca . Si cada metro cuadrado ñe ha costado 100$ , ¿ cuánto le ha costado la finca?

12345 [234]

Creo que te falta información posiblemente la imagen de la finca

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3 years ago