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vaieri [72.5K]
2 years ago
13

The oblique circular cone has an altitude and a diameter of base that are each of length 12 cm. The line segment joining the ver

tex to the center of the base is the axis of the cone.What is the length (in centimeters) of the axis?

Mathematics
1 answer:
Viktor [21]2 years ago
5 0

9514 1404 393

Answer:

  6√5 ≈ 13.42 cm

Step-by-step explanation:

The axis, a radius, and the edge marked 12 cm together form a right triangle, of which the axis is the hypotenuse. The Pythagorean theorem applies.

  6² +12² = axis² = 180

  axis = √180 = 6√5 ≈ 13.42 . . . cm

The length of the axis is 6√5 cm, about 13.42 cm.

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Answer:

Exact Form:

13 /8

Decimal Form:

1.625

Mixed Number Form:

1  5/ 8

8 0
2 years ago
Rewrite the following in the form log(c). log(4) - log(2)
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Answer:

log(2)

Step-by-step explanation:

log(4) − log(2)

log(4/2)

log(2)

3 0
3 years ago
Please help!
crimeas [40]

Answer:

The zeros are:

x =4, x=2, x = 5

  • The function has three distinct real zeros.

Hence, option (B) is true.

Step-by-step explanation:

Given the expression

h\left(x\right)=\left(x-4\right)^2\left(x^2-7x+\:10\right)

Let us determine the zeros of the function by putting h(x) = 0 and solving the expression

0=\left(x-4\right)^2\left(x^2-7x+10\right)

switch sides

\left(x-4\right)^2\left(x^2-7x+10\right)=0

as

x^2-7x+\:10=\left(x-2\right)\left(x-5\right)

so

\left(x-4\right)^2\left(x-2\right)\left(x-5\right)=0

Using the zero factor principle

  • \mathrm{If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

so

x-4=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0

x =4, x=2, x = 5

Thus, the zeros are:

x =4, x=2, x = 5

It is clear that there are three zeros and all the zeros are distinct real numbers.

Therefore,

  • The function has three distinct real zeros.

Hence, option (B) is true.

4 0
3 years ago
X=2y-1 <br> 3x+4y=11<br> Need help solving
tigry1 [53]

Answer: (-1/5, 2/5)


Step-by-step explanation:

See the photo for explanation and work.


6 0
3 years ago
What are the x and y coordinates for 6y + 4x = 12 and -6x + y =4
Licemer1 [7]
6y+y=6 
4x+-6x=-2
is ur awnser

5 0
3 years ago
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