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3 years ago

Need help with this geometry poblem

Mathematics

1 answer:

Kruka [31]3 years ago

3 0

Answer:

17.5

Step-by-step explanation:

Because the lines of the trapezoid are parallel that means that side ratios are similar mainly: BC/AB = DE/EF

Which yields: DE = CB * EF/ AB = 18.5 * 8.5 / 9 ~ 17.5

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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

Slope of (1,3) and (4,9)

elena-s [515]

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (4, 9)

m = $\frac{9-3}{4-1}$ = $\frac{6}{3}$ = 2

5 0

3 years ago

HELP ASAP NEEED THE CORRECT ANSWER

Tatiana [17]

The right answer is Option A.

Step-by-step explanation:

Given,

Amount in Jason's account = $300

Bills paid = $\frac{1}{4}$

Remaining balance after bills = -$50

Let,

x be the amount of bills.

Amount in account - Bills paid*Amount of bills = Remaining balance

$300-\frac{1}{4}x=-50\\-\frac{1}{4}x+300=-50$

The equation $-\frac{1}{4}x+300=-50$ can be used to find x.

The right answer is Option A.

Keywords: equation, subtraction

Learn more about subtraction at:

#LearnwithBrainly

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3 years ago

Katy buys 4 DVDs every 2 weeks how many will she buy in 10

malfutka [58]

If she maintains her average amount of movies bought every week, then she will buy 20 DVDs in 10 weeks. Explanation: she buys 4 every week, so if we want to find out how many are in 10 weeks, we must multiply two until we get to 10 ( five weeks ) then multiply that buy her average of movies. And that is how we get the answer of 20 DVDs! ( her at least I did )

Anyways, hope this helps!

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3 years ago

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Two baseball teams, the Jayhawks and the Falcons, each recorded the number of home runs hit in 1 season by every player on the t

mihalych1998 [28]

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3 years ago