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viktelen [127]
3 years ago
13

A. Tetrahedron B. Icosahedron C. Hexahedron O D. Octahedron

Mathematics
2 answers:
stiks02 [169]3 years ago
8 0

Answer:

A

Step-by-step explanation:

A tetrahedron is a triangular pyramid.

Nataliya [291]3 years ago
8 0

Answer:

Option A

Step-by-step explanation:

This is a tetrahedron (having 4 faces) that is why it is called a tetra(four) hedron(faces)

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4 x 3 =<br> Known fact: 2 X 3 =<br> Double the product: 6 + 6 =
gulaghasi [49]

Answer:

4×3= 12

2x3=6

6+6=12

Is this what you are asking for?

4 0
3 years ago
Find an equation of the sphere containing all surface points P = (x, y, z) such that the distance from P to A(−3, 6, 3) is "twic
Marina86 [1]

Answer:

Equation of Sphere =  x^{2} + y^{2} + z^{2} - 18x - 4/3y +10z + 142/3 = 0

Step-by-step explanation:

Data Given:

P = (x,y,z)

Distance from P to A (-3,6,3) = Twice the distance from P to B(6,2,-3)

Solution:

Find the equation of the sphere:

It is given that:

PA = 2PB

Squaring both sides:

(PA)^{2} = (2PB)^{2}

(PA)^{2} = 4 (PB)^{2}

(x - (-3))^{2} + (y - 6)^{2} + (z-3)^{2} = 4 x (x-6)^{2} + (y-2)^{2} + (z-(-3))^{2}

Solving the above equation:

(x + 3))^{2} + (y - 6)^{2} + (z-3)^{2} = 4 x {(x-6)^{2} + (y-2)^{2} + (z + 3))^{2}}

x^{2} + 9 + 6x + y^{2} + 36 - 12y + z^{2} + 9 - 6z = 4 { x^{2} + 36 - 12x + y^{2} + 4 - 4y + z^{2} + 9 + 6z}

x^{2} + 9 + 6x + y^{2} + 36 - 12y + z^{2} + 9 - 6z = 4x^{2} + 144 - 48x +4y^{2} + 16 - 16y + 4z^{2} + 36 + 24z

Putting the right hand side = 0 and solving the equation:

x^{2} - 4x^{2} + y^{2} - 4y^{2} + z^{2} - 4z^{2} + 6x + 48x - 12y +16y -6z - 24z + 9 + 36 + 9 -144 - 16 - 36 = 0

-3x^{2} - 3y^{2}  -3z^{2}  + 54x + 4y -30z -142  = 0

Taking (-) common

- ( 3x^{2} + 3y^{2} + 3z^{2}  - 54x - 4y +30z + 142) = 0

3x^{2} + 3y^{2} + 3z^{2}  - 54x - 4y +30z + 142 = 0

dividing the whole equation by 3

x^{2} + y^{2} + z^{2} - 54/3x - 4/3y +30/3z + 142/3 = 0

x^{2} + y^{2} + z^{2} - 54/3x - 4/3y +30/3z + 142/3 = 0

x^{2} + y^{2} + z^{2} - 18x - 4/3y +10z + 142/3 = 0

7 0
3 years ago
Which is closest to the circumference of the CD?
seropon [69]

Answer:

idk but heres an equation

Step-by-step explanation:

Since  

2

π

r

=

37.68

,

r

=

18.84

π

Area=  

π

⋅

(

18.84

)

2

π

2

=  

354.9456

3.14

= 113.04

5 0
3 years ago
Read 2 more answers
What is the equation of the line through (1, 6) and (0, 2)?
ASHA 777 [7]

Answer:

y = 4x + 2

Step-by-step explanation:

y = mx + b

m is the slope

b is the y-intercept

6 0
3 years ago
Solve for d.<br><br> Help is appreciated thank u!!
crimeas [40]

Answer:

d = 16.88

Step-by-step explanation:

Start by simplifying both sides of the equation then isolate the variable

5 0
3 years ago
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