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Keith_Richards [23]
3 years ago
8

If the length of the 45° region of

Mathematics
1 answer:
harkovskaia [24]3 years ago
6 0

Answer:

it is 60

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=293.38pound

8 0
3 years ago
in order to encourage students to show up early to a school dance , the dance comittee decides to charge less for those who come
nadya68 [22]
It would be $2.25 if each student pays one more penny than the last one the penny count would be up to 150 pennies times the number of student which is 150 so multiply and add your decimal
7 0
3 years ago
Original price $90 markdown 24%​
Gre4nikov [31]
The markdown will be $21.60. so the final price after the markdown is $68.40.
8 0
3 years ago
True or False. All segments have a perpendicular bisector.
puteri [66]
 <span>Without drawing a line on a piece of graph paper. If you know the endpoints of the line segment you can determine the equation of the line and the midpoint of the line. The slope of a perpendicular to a line is the negative reciprocal of the slope of the original line. You can then determine the equation of the perpendicular bisector using the point-slope method. Using a compass and straight edge, you can draw the line. set the compass at the endpoint and wide enough to extend beyond the midpoint. Scribe an arc. Without changing the compass use the other end and scribe another arc so that the two arcs intersect. Connect the two points where the arcs intersect and scribe a line through them. That is the perpendicular bisector.

i found this online ^ hope i helped ^-^</span>
8 0
3 years ago
Read 2 more answers
Find the value of 21.03 + 80.4 - 21.03 ​
astraxan [27]

Answer:

80.4

Step-by-step explanation:

21.03 + 80.4 - 21.03

21.03 - 21.03  cancel each other out because it equals 0.

The equation becomes 0 + 80.4 = 80.4

7 0
3 years ago
Read 2 more answers
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