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only do 9 question , step by step
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The exact volume of a general Cone is [tex]\frac{8\pi}{3}[/tex]

To solve this problem, we will make use of the second theorem of Pappus. This theorem is concerned with finding the volume produced when a plane shape is rotated around an axis ( the volume of the solid of revolution ).

The theorem states:

The volume of a solid of revolution obtained by rotating a lamina F (the triangle) about a non-intersecting axis (the y-axis) lying in the same plane is equal to the product of the area A of the lamina F and the distance d traveled by the centroid of F.

That is

[tex]V=A\times d[/tex]

When the centroid travels, it forms a circumference d given by,

[tex]d=2\pi r[/tex]

Therefore

[tex]V=A\times 2\pi r[/tex]

From the diagram below,

The vertices (or, corners) of the triangle are A(0, 0), B(1, 0), and C(0,8).

G is the centroid of the triangle. The centroid of the triangle is the geometric center of the triangle. The centroid would be the balance point if a pin were to be used to balance the triangle.

r is the distance from the centroid to the axis of rotation ( the y-axis in this case). It is like saying the radius of rotation.

The things we need to find are A (the Area) and r.

Calculate A:

[tex]A=\frac{1}{2} \left| \Delta \right|[/tex]

          [tex]\Delta = \left|\begin{array}{cc} x_{B}-x_{A} & y_{B}-y_{A} \\ x_{C}-x_{A} &y_{C}-y_{A}\end{array}\right|= \left|\begin{array}{cc} 1-0 & 0-0 \\ 0-0 & 8-0\end{array}\right|= \left|\begin{array}{cc} 1 & 0 \\ 0 & 8\end{array}\right|[/tex]

          [tex]\Delta =8\times 1 -0\times 0=8[/tex]

[tex]A=\frac{1}{2} \left|8\right|=\frac{1}{2}\times 8=4[/tex]

Calculate r:

[tex]r=\overline{x}=\frac{x_A+x_B+x_C}{3}=\frac{0+1+0}{3}=\frac{1}{3}[/tex]

Finally, Calculate the volume, V:

[tex]V=A\times 2\pi r=4 \times2\pi\times\frac{1}{3}=\frac{8\pi}{3}[/tex]

Learn more about centroids:  https://brainly.com/question/20305516

Answer:

Datas are not given...............

Answer:

there is no data? pls give data

Answer:

450

Step-by-step explanation:

9×50=450

have a good day

Answer:

12/16 is the equivilant of 3/4 so it is 12 1/16's

Step-by-step explanation:

The equation of the line is represented in table number 2. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

From the graph, the y-intercept is 5. Then the equation is given as,

y = mx + 5

From the graph, the equation passes through (-4, -3). Then we have

- 3 = (-4)m + 5

- 8 = - 4m

m = 2

Then the equation is given as,

y = 2x + 5

The equation of the line is represented in table number 2. Then the correct option is B.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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Answer:

-7 x 21

this adds up to 14 and multiplies -147

Answer:

the shorter man

Step-by-step explanation:

224 cm minus 174.21 = 49.79

49.79/5.56= approximately 9 standard deviations from the mean.

174.21 minus 97.8= 76.41

76.41/5.56= approximately 14 standard deviations from the mean.

bc the shorter man's height is more SD's away from the mean (average) height his height difference is more extreme.

Answer:

a) point a start with negative but point b) start with positive

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

D (- 5, - 4 ) → D' (- 5, 4 )

E (- 5, - 2 ) → E' (- 5, 2 )

F (- 1, - 2 ) → F' (- 1, 2 )

G (- 1, - 4 ) → G' (- 1, 4 )

Answer:

less than

Step-by-step explanation:

314+175= 489 round that it would be 500 so it would be less than 600

Please mark me brainliest

Hello there!

The sum of 314 and 175 = 489.

If we round it, we will get 500.

500 is less than 600.

So the sum of 314+175 is less than 600.

Hope this helps you!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

Answer:

Step-by-step explanation:

Answer:

[tex]mean = \frac{ \sum \: xf}{n} \\ \frac{(27 \times 2) + (28 \times 4) + (29 \times 3) + (31 \times 5) + (33 \times 6)}{(2 + 4 + 3 + 5 + 6)} [/tex]

Answer:

A number multiplied by a variable.

Step-by-step explanation:

For example, 4 is a coefficient.

[tex]4x[/tex]

-11.9 -1 = -12.9

Your answer is negative 12.9

Answer:

-12.9

Step-by-step explanation:

Hope this helps you! :)

Answer:

the triangle is isosceles triangle. so, the two angles of the same side are equal.

(5x)°=40°

x = 40/5

x = 8

40° +40°+(2y+20)°=180°

80 + 2y +20 =180°

100° +2y =180°

180°-100°=2y

80° = 2y

80°/2= y

40 = y

Answer:

Since our angle is greater than 270 and less than or equal to 360 degrees, it is located in Quadrant IV

In the fourth quadrant, the values for cos are positive only.

317 is an obtuse angle since it is greater than 90°

cos(317) = 0.73135369730756

Step-by-step explanation:

Answer: Do you have a pic of the question if you do give and  give brainliest for it alright

Step-by-step explanation:

Answer:a

Step-by-step explanation:

A

Answer:

1/5

Step-by-step explanation:

The other answers (in order) equal 5, 1 and 1/5, and 2, so the only other option left is 1/5.

Explanation:

Move the decimal point to the right one spot for each value

-3.2 turns into -32

0.8 turns into 8.0 which is the same as 8

That means the given fraction is the same as -32/8 which simplifies into -4

Answer:

1

Step-by-step explanation:

This one once learned is clapz. Anything to the zero power is 1. ;)

According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of the two opposite interior angles

The measure of ∠B is 44°

Reason:

The known parameters are;

The point D is on side [tex]\overline{AB}[/tex] of triangle ΔABC

ΔABC ~ ΔACD,

∠A = 48°

BC = CD

Required:

The measure of angle ∠B

Solution:

ΔBDC is an isosceles triangle

Let x, represent ∠B

Therefore, ∠BDC = x, by base angles of an isosceles triangle

Given that  ΔABC ~ ΔACD, and ΔBDC is an isosceles triangle, we have;

∠ADC = 2·x by exterior angle of a triangle theorem

Given ΔABC ~ ΔACD, ∠A = ∠A, and ∠ADC = 2·x, therefore, ∠ACD = x

Which gives;

48° + x + 2·x = 180° sum of angles in a triangle theorem

[tex]x = \dfrac{180^{\circ} - 48^{\circ}}{3} = 44^{\circ}[/tex]

∠B = x = 44°

The measure of ∠B = 44°

Learn more about angles in a triangle here:

https://brainly.com/question/956912

Answer:

21.15 ft

Step-by-step explanation:

18.7 - 14.3 = 4.4 = pool depth

25.55-4.4 = 21.15 = slide height

Answer:

The height of the tallest water slide is 58.55 feet.

Step-by-step explanation:

To find the height of the tallest waterslide, we need to add the height from the surface of the pool to the point where Dominic reached before going down the water slide and the height of the water slide itself.

Dominic jumped from a height of 14.3 feet above the surface of the pool and traveled 18.7 feet straight down into the water, so his total distance from the surface of the pool to the point where he started going up the water slide is:

14.3 feet + 18.7 feet = 33 feet

From there, he traveled up 25.55 feet to the top of the water slide, so the height of the tallest water slide is:

33 feet + 25.55 feet = 58.55 feet

Therefore, the height of the tallest water slide is 58.55 feet.

Answer:

The factor '2 pi' is simply the constant of proportionality between C and R. So the area of a circle is proportional to R2 and pi is the constant of proportionality between the area and the radius of a circle.

Answer: The relationship between the area of a circle and the radius of the circle can be stated as follows: The area of a circle is proportional to the square of the radius.   Written in symbolic notation: A = R 2 RELATIONSHIP 5.1 Area = x (radius) squared OR A = R 2

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

10-s=34

collect like terms

10-34=s

s=-24

C)50mph

speed= distance÷time

so ....

we find how much 25 miles took therefore we do

25÷0.5

which is

=50

Hope this helped you, have a good day bro cya)

Answer:

fast

Step-by-step explanation:

historical definition

Italian physicist Galileo Galilei is usually credited with being the first to measure speed by considering the distance covered and the time it takes. Galileo defined speed as the distance covered per unit of time.[3] In equation form, that is

{\displaystyle v={\frac {d}{t}},}v={\frac  {d}{t}},

where {\displaystyle v}v is speed, {\displaystyle d}d is distance, and {\displaystyle t}t is time. A cyclist who covers 30 metres in a time of 2 seconds, for example, has a speed of 15 metres per second. Objects in motion often have variations in speed (a car might travel along a street at 50 km/h, slow to 0 km/h, and then reach 30 km/h).

Instantaneous speed

Speed at some instant, or assumed constant during a very short period of time, is called instantaneous speed. By looking at a speedometer, one can read the instantaneous speed of a car at any instant.[3] A car travelling at 50 km/h generally goes for less than one hour at a constant speed, but if it did go at that speed for a full hour, it would travel 50 km. If the vehicle continued at that speed for half an hour, it would cover half that distance (25 km). If it continued for only one minute, it would cover about 833 m.

In mathematical terms, the instantaneous speed {\displaystyle v}v is defined as the magnitude of the instantaneous velocity {\displaystyle {\boldsymbol {v}}}{\boldsymbol {v}}, that is, the derivative of the position {\displaystyle {\boldsymbol {r}}}{\boldsymbol {r}} with respect to time:[2][4]

{\displaystyle v=\left|{\boldsymbol {v}}\right|=\left|{\dot {\boldsymbol {r}}}\right|=\left|{\frac {d{\boldsymbol {r}}}{dt}}\right|\,.}v=\left|{\boldsymbol  v}\right|=\left|{\dot  {{\boldsymbol  r}}}\right|=\left|{\frac  {d{\boldsymbol  r}}{dt}}\right|\,.

If {\displaystyle s}s is the length of the path (also known as the distance) travelled until time {\displaystyle t}t, the speed equals the time derivative of {\displaystyle s}s:[2]

{\displaystyle v={\frac {ds}{dt}}.}v={\frac  {ds}{dt}}.

In the special case where the velocity is constant (that is, constant speed in a straight line), this can be simplified to {\displaystyle v=s/t}v=s/t. The average speed over a finite time interval is the total distance travelled divided by the time duration.

Average speed

Different from instantaneous speed, average speed is defined as the total distance covered divided by the time interval. For example, if a distance of 80 kilometres is driven in 1 hour, the average speed is 80 kilometres per hour. Likewise, if 320 kilometres are travelled in 4 hours, the average speed is also 80 kilometres per hour. When a distance in kilometres (km) is divided by a time in hours (h), the result is in kilometres per hour (km/h).

Average speed does not describe the speed variations that may have taken place during shorter time intervals (as it is the entire distance covered divided by the total time of travel), and so average speed is often quite different from a value of instantaneous speed.[3] If the average speed and the time of travel are known, the distance travelled can be calculated by rearranging the definition to

{\displaystyle d={\boldsymbol {\bar {v}}}t\,.}d={\boldsymbol  {{\bar  {v}}}}t\,.

Using this equation for an average speed of 80 kilometres per hour on a 4-hour trip, the distance covered is found to be 320 kilometres.

Expressed in graphical language, the slope of a tangent line at any point of a distance-time graph is the instantaneous speed at this point, while the slope of a chord line of the same graph is the average speed during the time interval covered by the chord. Average speed of an object is Vav = s÷t

Difference between speed and velocity

Speed denotes only how fast an object is moving, whereas velocity describes both how fast and in which direction the object is moving.[5] If a car is said to travel at 60 km/h, its speed has been specified. However, if the car is said to move at 60 km/h to the north, its velocity has now been specified.

The big difference can be discerned when considering movement around a circle. When something moves in a circular path and returns to its starting point, its average velocity is zero, but its average speed is found by dividing the circumference of the circle by the time taken to move around the circle. This is because the average velocity is calculated by considering only the displacement between the starting and end points, whereas the average speed considers only the total distance travelled.

Answer:

angle 3- 131

angle 2- 112

angle 5- 37

angle 1- 80

angle 4- 80

hope this helps :)- please crown me brainliest!!!

Step-by-step explanation:

<2=63°+49°= 112°.

hope this helps you.

Answer:

50 miles per hour

Step-by-step explanation:

50 x 3 = 150

50 x 0.50 = 25

150 + 25 = 175

Hope this helps!

The number of miles that Jim can drive in each hour will be 50 miles.

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

Jim drove 175 miles in 3 hours and 30 minutes. Convert the time into hours, then we have

Time = 3 + 30 / 60

Time = 3.5 hours

The number of miles that Jim can drive is calculated as,

⇒ 175 / 3.5

⇒ 50 miles per hour

More about the speed link is given below.

https://brainly.com/question/7359669

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Answer :

square of 5 is 25 .