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disa [49]
3 years ago
7

How many cones of radius 1 m and height 1 m have total volume equal to the volume of a sphere with a radius 1m?

Mathematics
1 answer:
DiKsa [7]3 years ago
7 0
Vcone=1/3(hpir^2)
Vsphere=(4/3)pir^3

evaluate
vcone=1/3(1pi1^2)=pi/3
vsphere=4/3pi1^3=4pi/3


pi/3 times what=4pi/3
times both sides by 3
pi times what=4pi
divide both sides by pi
1 times what=4
what=4



4 cones

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Which of the following theorems verified that angle xyz is congruent too angle uwv?
icang [17]

Answer:

Option B.  AA

Step-by-step explanation:

we know that

Angle-Angle (AA) Similarity Postulate, states that If two angles of one triangle are congruent to two angles of another, then the triangles must be similar

In this problem

<em>In the triangle XYZ</em>

∠X=70°

∠Y=90°

∠Z=90°-70°=20° (remember that angle X and angle Z are complementary)

<em>In the triangle UWV</em>

∠V=20°

∠W=90°

∠U=90°-20°=70° (remember that angle V and angle U are complementary)

therefore

Traingles XYZ and UWV are similar by AA Similarity Postulate

3 0
3 years ago
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases from quadrant 2 into quadrant 1. It
dusya [7]

Answer:

f(x) = 2^{(3x)}

Step-by-step explanation:

The given options are,

a) f(x) = 2^{(3x)}

b) f(x) = ({\frac {1}{2}})^{3x}

c) f(x) = 2 \times ({\frac {1}{3}})^{x}

d) f(x) = \frac {1}{2} \times ({\frac {1}{3}})^{x}

Now, among the given options only option (a) satisfies the criteria stated in the question i. e.,

     1. f(x) → 0 as x → - ∞  and

     2 f(0) = 1

so, the correct answer is,

f(x) = 2^{(3x)}

7 0
3 years ago
Read 2 more answers
1. X - 18 = 23
Thepotemich [5.8K]

Answer:

  1. 41
  2. -5
  3. 42
  4. 21
  5. 4
  6. 7

Step-by-step explanation:

6 0
3 years ago
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KengaRu [80]
1.30 :)
All you have to do is see if the number on your left is greater than 5 or not if it’s is round up 1 if not it stays the same !
Hope this helped !!!
3 0
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Given the following coordinates, what is the the length of the diagonals?
White raven [17]

Answer:

ILOVEMYCOUNTRY!!!

Step-by-step explanation:

F........U.......C.......K.....YOU.....BRO.......USE UR BRAINS !!!!

4 0
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