3 years ago

How can you tell which tape diagram you need

Mathematics

1 answer:

Mashutka [201]3 years ago

6 0

Answer:

i gave you an answer down below

Step-by-step explanation:

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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

A radio station gave away concert tickets every hour yesterday. At the end of the fifth hour, the station had 418 tickets left.

zaharov [31]

-22x+y=415

I think that this is the answer

3 0

4 years ago

Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to d

zhuklara [117]

Step 1:
Set Variables (We will use x & y)

x = years
y = total orangutan population

Step 2:
Set up Equations

784 - 25x = y
817 - 36x = y

Step 3:
Set equations equal to each other & solve

784 - 25x = 817 - 36x
784 = 817 - 11x
-33 = -11x
3 years = x

5 0

4 years ago

Read 2 more answers

Pamela bought an electric drill at 80% of the regular price. She paid 32 for the drill. What was the regular price?

nirvana33 [79]

Answer: $40

Step-by-step explanation:

To find the whole number you divide the part by the percentage

so here it was 32/0.8

hope it helps

3 0

3 years ago