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hram777 [196]
4 years ago
6

How many ways are there to place 5 basketball players on the court if you must place 2 guards, 2 forwards and a center, from a t

eam of 12, consisting of 4 guards, 5 forwards and 3 centers?
Mathematics
1 answer:
Alex4 years ago
3 0
You can have 2 teams of the following 12 players. The first team out of the 12 will have 2 guards, 2 forwards and a center. The second team will have 2 guards, 2 forwards and a center as well with a remaining of 2 players left
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What three-dimensional object would be generated by the rotation of the semi circle about the x axis ?
Svetradugi [14.3K]

If a semicircle is rotated about the x axis of the graph then the resulting three dimensional shape will be a sphere.

Given a semicircle on a graph.

A semicircle is a half circle .A sphere is a geometrical object that is a three dimensional  shape , It is the set of points that are all at the same distance r from given point in three dimensional shape.

Rotation is basically an action of rotating around an object or an axis.

If a semicircle is rotated about x axis then the resulting figure will be a sphere. This is because of the fact that when the semi circle is rotated about the x axis then all the points will be at equal distance in all directions from the center.

Hence if a semicircle is rotated about x axis then the resulting figure will be a sphere.

Learn more about sphere at brainly.com/question/1293273

#SPJ4

4 0
2 years ago
Kobe, A'mari and DJ are raising money for their football team to take a trip to San Diego. Kobe collected $18.50 more than A'mar
ira [324]

Answer:

So Kobe collected $42.15

Step-by-step explanation:

Kobe, A'mari and DJ are raising money for the football team to take a trip to San Diego.

Let x = amount which Kobe collected

Let y = amount which Amari collected

Let z= amount which Dj collected.

Kobe collected $18.50 more than A‘Mari. This means

x= y + 18.5 - - - - - - 1

DJ collected $12.25 less than Kobe

z = x-12.25 - - -- - - - - 2

Total sum collected by the 3 boys

= $95.70 This means

x + y+ z= 95.70 - -- - -- - -3

Put x = y + 18.5 in equation 3 and also

x= z+12.25 in equation 3

y + 18.5 + y+ z= 95.70

2y +z = 95.70-18.5 = 77.2

2y +z = 77.2 - - - - - -4

z + 12.25 + y+ z= 95.70

y +2z = 83.45 - - - - - -- - 5

Multiply equation 4 by 1 and equation 5 by 2

2y +z = 77.2

2y + 4z = 166.9

-3z = -89.7

z = 89.7/3= 29.9

Put z =29.9 in 2y+z = 77.2

2y +29.9= 77.2

2y = 77.2-29.9= 47.3

y = 47.3/2 = 23.65

Put y=23.65 and z = 29.9 in equation 3

x + 23.65+ 29.9= 95.70

x = 95.70-53.55

=$42.15

So Kobe collected $42.15

6 0
4 years ago
Read 2 more answers
An airplane over the Pacific Ocean sights an atoll at an 7° angle of depression. If the plane is 663 m above the water, how many
Illusion [34]
You need to <span>draw the diagram to understand the problem easily. Teh diagram will show the right triangle, acute angle with the base  7º, height is 663 m, and "x" is the base of the triangle. 

using the tangent ratio: 

tan</span>Θ = opposite / adjacent
<span>
tan7º = 663 m / x 

x = 663 m / tan7º
x = 5,399.7 m 

change m to km. 1,000 m = 1km

5,399.7m * 1km/1,000 m = 5,399.7 km/1000 = 5.3997 km or 5.4 km

B. 5.4 km </span>
4 0
4 years ago
If an object is launched at an angle of 28° with an initial velocity of 133 ft./s from a height of 6 feet how many seconds will
Tema [17]

Answer:

Hence after  3.98 sec  i.e  4 sec Object will hit the ground  .

Step-by-step explanation:

Given:

Height= 6 feet

Angle =28 degrees.

V=133 ft/sec

To Find:

Time in seconds after which it will hit the ground?

Solution:

<em>This problem is related to projectile motion for objec</em>t

First calculate the Range for object  and it is given by ,

R=v^2Sin(2Ф)/g

Here R= range  g= acceleration due to gravity =9.8 m/sec^2

1m =3.2 feet

So 9.8 m, equals to 9.8 *3.2=31.36 ft

So g=31.36 ft/sec^2. and 2Ф=2(28)=56

R=133^2*Sin(56)/31.36

R=14664.84/31.36

R=467.62  fts

Now using Formula for time and range as

R=VxT

Vx is horizontal velocity

Vx=V*cosФ

Vx=133*cos(28)

Vx=117.43  ft/sec

So above equation becomes as ,

467.62=117.43*T

T=467.62/117.43

T=3.98 sec

T is approximately equals to 4 sec.

4 0
4 years ago
2.75% annual interest for a 30-year term on a $600 purchase, compounded annually
nexus9112 [7]

Answer:

6060606060

Step-by-step explanation:

66666

5 0
3 years ago
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