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Ierofanga [76]
3 years ago
8

F

Mathematics
1 answer:
postnew [5]3 years ago
3 0

Answer:

g = 81.

Step-by-step explanation:

f = k/√g    where k is a constant

When f = 12 g = 36, so:

12 = k/√36 = k/6

k = 12*6 = 72.

So the relation is:

f = 72/√g

When f = 8:

8 = 72/√g

8√g = 72

√g = 72/8 = 9

g = 9^2 = 81.

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If a cone has a volume of 338 cm^3 and a radius of 6 cm, how tall is it?
Anna35 [415]

The formula for the volume of a cone is V = πr²h ÷3

You are solving for the height, h.

V = 338 cm³ and r = 6 cm

338 = π(6)²h÷3

338 = π36h÷3

338 = π12h

28.16 = πh

8.965 = h

The height of the cone is around 9 cm.

6 0
3 years ago
A parabola can be drawn given a focus of (-4,10) and a directrix of y=-4 write the equation of the parabola in any form
sweet-ann [11.9K]

Answer:

(x+4)^2=28(y-3)

Step-by-step explanation:

The directrix of the parabola is the horizontal line with the eqaution y=-4. The focus of the parabola is at point (-4,10), than the axis of symmetry of the parabola is the perpendicular line to the directrix passing through the focus. Its equation is x=-4

The distance between the directrix and the focus is |10-(-4)|=14, so p=14 and the vertex is at point \left(-4,10-\dfrac{14}{2}\right)\rightarrow (-4,3)

Parabola goes in positive y-direction, hence its equation  is

(x-x_0)^2=2p(y-y_0),

where (x_0,y_0) is the vertex, so the equation of this parabola is

(x+4)^2=28(y-3)

8 0
3 years ago
Is 2//3 greater than 3/2
steposvetlana [31]
No, because 3/2 is actually 1 1/2. 2/3 isn't even 1
4 0
3 years ago
Read 2 more answers
Which function has a vertex at the origin?
dlinn [17]

Answer:

  (d)  f(x) = -x²

Step-by-step explanation:

For the vertex of the quadratic function to be at the origin, both the x-term and the constant must be zero. That is, the function must be of the form ...

  f(x) = a(x -h)² +k . . . . . . . . . . vertex form; vertex at (h, k)

  f(x) = a(x -0)² +0 = ax² . . . . . vertex at the origin, (h, k) = (0, 0)

Of the offered answer choices, the only one with a vertex at the origin is ...

  f(x) = -x² . . . . . a=-1

6 0
2 years ago
What is the solution to the problem expressed to the correct number of significant figures? 15. 11 (142 × 16. 5) = ? A. 2,358 B.
olchik [2.2K]

The solution to the problem expressed  2358.

<h3>What is the meaning of significant figure?</h3>

Significant figure It is defined as the minimum number of digit us needed to express a number in scientific notation.

Therefore we get,

15.11+(142\times16.5)

First we have to multiply the given digits as per rule.

=15.11+2343

Now we will add both the digits, we get

=2358.11

As per given expression, we conclude that the number of significant figure is 4.

So, the answer will be, 2358.

Therefore, the correct option is, 2358.

To learn more about the significant figures visit:

brainly.com/question/24491627

8 0
2 years ago
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