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2 years ago

Find the volume of the cone. Round to two decimal places

Mathematics

2 answers:

Lisa [10]2 years ago

8 0

Answer:

564.44

11*7 squared

elena-14-01-66 [18.8K]2 years ago

3 0

Answer:

V = 564.15 ft^3

Step-by-step explanation:

The formula for the volume of a cone of base radius r and height h is

V = (1/3)(pi)(r^2)(h). Here, r = 7 ft and h = 11 ft, and so the volume of this particular cone is

V = (1/3)(3.14)(7 ft)^2*(11 ft), or V = 564.15 ft^3

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the height of the water in a fish pod is 42.5 inches . water is being drained from the pond at a rate of 3.75 inches per minute

Olenka [21]

Answer:

The height of water after 3 minutes of drain is 31.25 inches .

Step-by-step explanation:

Given as :

The initial height of water in a fish pod = i = 42.5 inches

The rate of drain of water = r = 3.75 inches per min

Let The height of water after 3 min = f inches

The time taken for water drain = t = 3 minutes

Now, According to question

∵ In 1 minute , The water decreases = 3.75 inches

∴ In 3 minute ,The water decreases = 3.75 inches × 3

I.e In 3 minute ,The water decreases = 11.25 inches

Now, The height of water after 3 min = initial height of water - the decrease height of wate

f = i - 11.25 inches

Or, f = 42.5 inches - 11.25 inches

or, f = 31.25 inches

So, The height of water after 3 min = f = 31.25 inches

Hence, The height of water after 3 minutes is 31.25 inches Answer

6 0

3 years ago

A taxi driver charges $3 for every kilometre driven, plus $4 per trip.

Stels [109]

Last one is the answer pretty sure

6 0

3 years ago

Help!! WHAT IS THE VALUE OF Y??

Anna11 [10]

Your answer would be C: 44 degrees.

1. Find the value for the third angle.

We know that two of the angles are y, but we need to find the other angle in order to solve this problem. There is a line connecting off of the angle, so for a moment, lets ignore the triangle and just look at the line.

A line is 180 degrees. That means that if we subtract 88 from 180, we can get the value for the third angle. 180-88=92.

2. Find y.

The total value of all the angles of a triangle is 180 degrees. Lets first find the value of two of the y angles combined. 180-92=88

Since both of the remaining angles are y, that means that they are equal. This means that all we have to do now is divide 88 by 2 to get the value of y. 88/2=44

y=44 degrees

I'm really bad at explaining things, but I hope this helped!

6 0

3 years ago

Find the value of x in each case: If you solve this correctly, I will give you brainliest pleasee help

lions [1.4K]

$\text{Hello there! :)}$

$\huge\boxed{x = 22.5}$ $\text{Since we know that DE and AC are parallel,}\\\\\text{We can use the Alternate-exterior angle congruency to determine the value of "x":}\\\\6x = 2x + \text{ The supplement of 4, therefore:}\\\\6x = 2x + 180 - 4x\\\\\text{Isolate the "x" variable by adding 4x and subtracting 2x from both sides:}\\\\8x = 180\\\\\text{Divide both sides by 8:}\\\\\boxed{x = 22.5}$

3 0

3 years ago

Write the equation for a parabola with a focus at (1,2)(1,2)left parenthesis, 1, comma, 2, right parenthesis and a directrix at

Tanya [424]

Answer:

y = -1/8(x -1)² +4

Step-by-step explanation:

The equation of a parabola can be written from focus and directrix using the form ...

y = 1/(4p)(x -h)² +k

where p is the distance from vertex to focus, and (h, k) is the vertex.

The vertex-focus distance is half the distance from the directrix to the focus. Here, that is ...

p = (2 -6)/2 = -4/2 = -2

The vertex is halfway between the focus and directrix on the same vertical line, so has coordinates ...

(h, k) = ((1, 2) +(1, 6))/2 = (1, 4)

Using these values of p and (h, k), we find the equation of the parabola to be ...

y = 1/(4(-2))(x -1)² +4

y = -1/8(x -1)² +4

_____

Additional comment

You can check the graph by considering the definition of a parabola: each point on the curve is equidistant from the focus and the directrix. This is easily verified for points on the horizontal and vertical lines through the focus. For example, point (5, 2) is 4 units from the focus, and 4 units from the directrix.

6 0

3 years ago