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rusak2 [61]
3 years ago
5

100 points

Mathematics
2 answers:
SashulF [63]3 years ago
8 0
18.84 feet with an exponent of 3 hope this helps
inna [77]3 years ago
3 0

\huge{ \mathbf{  \underline{ Answer }\:  \:  ✓ }}

The sand we need to fill the cylinders is equal to the total volume of the six cylindrical posts .

Given terms ( common for each cylinder ) :

  • height (h) = 4 ft
  • radius. (r) = 0.5 ft

\large \boxed{ \mathrm{volume =\pi {r}^{2}  h}}

  • 3.14 \times  \dfrac{1}{2}  \times   \dfrac{1}{2}  \times 4

  • \mathrm{3.14 \: ft {}^{3} }

Since volume of each cylinder is equal, so total volume of six cylindrical post :

  • 3.14 \times 6

  • { \mathrm{18.84 \: ft {}^{3} }}

_____________________________

\mathrm{ ☠ \: TeeNForeveR \:☠ }

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Ed's new car has a value of $23,500, but it is expected to depreciate at a rate of 7.5% per year. What is the value of Ed's car
Kazeer [188]

Answer:

$13,616

Step-by-step explanation:

For each year we will have to constantly decrease it by 7.5%

23,500 - 7.5%

= 21,737.5

= 21,737.5 - 7.5%

= 20,107.1875

= 20,107.1875 - 7.5%

= 18599.1484375

= 18599.1484375 - 7.5%

= 17204.2123047

= 17204.2123047 - 7.5%

= 15913.8963818

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= 14720.3541532

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8 0
3 years ago
The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e
Nana76 [90]

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

5 0
3 years ago
Abby is trying to pay off her debt. She owes $422 to her bank. In may she paid $76, but had to borrow an additional $135. In Jun
RoseWind [281]

Answer:

604

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the length of x
Nat2105 [25]

Answer:

10 is your answer

Step-by-step explanation:

Note that the side given to us has a measurement of 5 for one of the legs of the isosceles.

This means that the <em>1</em> side on the 30-60-90 triangle has a measurement of 5.

Now, note the measurements of the triangle sides for a 30-60-90 triangle. They measure at: 1 , √3 , 2.

the side 1 is given to us, at 5. You are solving for the hypothenuse (2). Multiply 2 to the side 1

5 * 2 = 10

10 is your answer

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5 0
3 years ago
if a ice cream cone has a radius of 6 feet and a height of 10 feet what is the volume use 3.14 and round to the nearest cubic fo
andrey2020 [161]

Answer:

377 ft³

Step-by-step explanation:

V=πr²h /3

V = (3.14)(6)²(10)/3 = 376.8 ft³

6 0
3 years ago
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