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rusak2 [61]
3 years ago
9

A rope is attached to a tent pole at a height of 3.5 feet above the ground. The rope connects to a point that is 6.8 feet from t

he bottom of the pole. To the nearest tenth of a foot, what is the length of the rope? 7.6 ft 1.2 ft 5.8 ft 4.5 ft

Mathematics
2 answers:
ipn [44]3 years ago
4 0
I'm sorry but I'm confused, Is the rope connected like A or B, if it's connected like the picture A then it's 5.8ft but if connected like B then it is 7.6ft

loris [4]3 years ago
4 0

Answer:

The length of the rope is 7.6 ft ( approx )

Step-by-step explanation:

Let, The line segment AB shows the length of the pole, ( where A is the top and B is the bottom ) and line segment AC shows the rope,

According to the question,

AB = 3.5 ft,

BC = 6.8 ft,

Since, the pole must be vertical with respect to the ground,

That is, ∠ABC = 90°,

Thus, by Pythagoras theorem,

AC² = AB² + BC²

⇒ AC² = 3.5² + 6.8² = 12.25 + 46.24 = 58.49,

⇒ AC = √ 58.49 = 7.64787552 ≈ 7.6 ft

Hence, the length of the rope is approximately 7.6 ft.

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8 0
3 years ago
Volume of a cone = r²h,
inessss [21]

Answer:

7.5 m           457.5\pi m^{2}

Step-by-step explanation:

First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.

The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = \frac{1}{3} \pi r^{2}h.

Original Cone = \frac{1}{3} \pi r^{2}h = \frac{1}{3} \pi *7.5^{2}*50 = 937.5\pi

Smaller Cone = \frac{1}{3} \pi r^{2}h =  \frac{1}{3} \pi *6^{2}*40 = 480\pi

Frustum = 937.5\pi - 480\pi = 457.5\pi

6 0
2 years ago
The distance between lakeview and sun valley is 89 km. about how far is this in miles?
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4 0
3 years ago
11. What method can be used to prove these two triangles are congruent?
zubka84 [21]
This would be SAS. If that’s wrong I’m sorry but it’s the only thing that makes sense, the dashes indicate they are the same and then the circle at the point also indicates that they’re the same so you have two sides and one angle that are the same, so it should be SAS.
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Then, the answer is (-5/8, 3/8), or the third answer.

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