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1 year ago

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A tent is in the form of a right circular cylinder surmounted by a cone. The volume of the tent can be modeled by the function V

(r) = 8πr2 + πr3, where r is the radius in feet. For what value of r does the tent have a volume of 311 ft3?

1 answer:

Setler [38]1 year ago

6 0

Answer:

Check this explaination below

Step-by-step explanation:

Check the attached picture

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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

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2 years ago

In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equati

umka21 [38]

9514 1404 393

Answer:

3.61 seconds

Step-by-step explanation:

The bird starts 50 feet in the air, so will come down to a height of 40 feet after 3.61 seconds.

We want to solve h = 40.

40 = -16t^2 +55t +50

16t^2 -55t -10 = 0

t = (55 +√(55^2 -4(16)(-10)))/(2(16)) = (55 + √3665)/32 ≈ 3.61060

The bird will be 40 ft above the ground the first time after about 3.61 seconds.

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3 years ago

Payton collected data to show the relationship between the number of hours he practices and the number of errors he makes when p

storchak [24]

Answer:the answer is B

Step-by-step explanation:

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2 years ago

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Solve the inequality -2/11 j _< 8

quester [9]

Answer:

j ≥ -44

Step-by-step explanation:

-2/11 j ≤ 8

Multiply each side by -11/2 to isolate j. Flip the inequality since we are multiplying by a negative

-11/2 * -11/2 j ≥ 8 * -11/2

j ≥ -44

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2 years ago

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Help Plzzz i cant find the answer

Kryger [21]

To solve this, you need to know slope-intercept form;
$y=mx+b$
Where mx is the slope and b is the y-intercept form.
Now, looking at the values you have been provided, you can just plug them into the formula.
$y= \frac{2}{3}x -2$

6 0

2 years ago