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2 years ago

9

HELP!!!! if you answer you get 20 points.

1 answer:

wolverine [178]2 years ago

8 0

Answer:

Very last choice is the answer.

Step-by-step explanation:

Remark

The thing that is most important is that the horizontal line connect h and the radius is parallel to the cut of the sphere if it was placed right in the middle. That line swings around as though the center was a pivot.

Solution

So what you have is a circle when that line goes around that part of the sphere.
To find the length of that line, use the Pythagorean Theorem. Call the line r1.
r1 ^2 = r^2 - h^2
So the area is pi * r1^2
Area = pi (r^2 - h^2)
The very last one is the answer.

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1 / 2x squared minus x minus 12

Paladinen [302]

Answer:

-11.75 - x

Step-by-step explanation:

0.5 squared = 0.25

0.25-12= -11.75

-11.75 - x

6 0

3 years ago

A sailboat is sitting at rest near its dock. A rope attached to the bow of the boat is drawn in over a pulley that stands on a p

irina [24]

Answer:

The boat is approaching the dock at rate of 2.14 ft/s

Step-by-step explanation:

The situation given in the question can be modeled as a triangle, please refer to the attached diagram.

A rope attached to the bow of the boat is drawn in over a pulley that stands on a post on the end of the dock that is 5 feet higher than the bow that means x = 5 ft.

The length of rope from bow to pulley is 13 feet that means y = 13 ft.

We know that Pythagorean theorem is given by

$x^{2} + y^{2} = z^{2}$

Differentiating the above equation with respect to time yields,

$2x\frac{dx}{dt} + 2y\frac{dy}{dt} = 2z\frac{dz}{dt}$

$x\frac{dx}{dt} + y\frac{dy}{dt} = z\frac{dz}{dt}$

dx/dt = 0 since dock height doesn't change

$y\frac{dy}{dt} = z\frac{dz}{dt}$

$\frac{dy}{dt} = \frac{z}{y} \frac{dz}{dt}$

The rope is being pulled in at a rate of 2 feet per second that is dz/dt = 2 ft/s

First we need to find z

z² = (5)² + (13)²

z² = 194

z = √194

z = 13.93 ft

So,

$\frac{dy}{dt} = \frac{z}{y} \frac{dz}{dt}$

$\frac{dy}{dt} = \frac{13.93}{13}(2)$

$\frac{dy}{dt} = 2.14$ $ft/s$

Therefore, the boat is approaching the dock at rate of 2.14 ft/s

8 0

2 years ago

50 POINTS !!<br><br><br> PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Lesechka [4]

Answer:

53 centimeters

Step-by-step explanation:

Answer: 53 centimeters

6 0

2 years ago

Given the following chemical reaction:

Marizza181 [45]

Answer:

The answer to your question is 12 moles of water.

Step-by-step explanation:

Reaction

2 O₂ + CH₄ ⇒ CO₂ + 2 H₂O

If Oxygen is in excess, then the limiting reactant is methane and we calculate the moles of water produced considering the moles of methane.

1 mol of methane -------------- 2 moles of water

6 moles of methane --------- x

x = (6 x 2) / 1

x = 12 moles of water

5 0

2 years ago

What is the equation of the following line written in slope-intercept form?<br>

Svetllana [295]

Answer:

$y = 5x$

Step-by-step explanation:

Line equation is given as y = mx + b

Where, m is the slope of the line, which is,

$m = \frac{y2 - y1}{x2 - x1}$

b is the y-intercept. It is the point at which the line crosses the y-axis for which the value of x = 0.

=>Find m and b to derive an equation for the line.

using the 2 coordinate pairs, (1, 5), (-1, -5),

Let, x2 = -1,

x1 = 1,

y2 = -5,

y1 = 5

$m = \frac{y2 - y1}{x2 - x1}$

$m = \frac{-5 - 5}{-1 - 1}$

$m = \frac{-10}{-2}$

$m = 5$

From the graph given, the line intercepts the y-axis at point 0. Therefore b = 0.

Plug in the values of m and b in the line of equation.

y = mx + b

y = 5x + 0

y = 5x

Therefore, the equation of the line, in the graph above, written in slope-intercept form is:

$y = 5x$

4 0

2 years ago