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3 years ago

A circle has a circumference of

Mathematics

1 answer:

murzikaleks [220]3 years ago

5 0

Answer:

1249.37 units

Step-by-step explanation:

The circumference of a circle is given as

$C=2\pi \: r$

Given that the circumference of a circle is 7850 units, we can find the radius by substituting and solving for r.

$7850 = 2\pi \: r$

$r = \frac{7850}{2\pi}$

We divide to obtain:

$r = 1249.37$

Therefore the radius of the circle is 1249.37 units

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Answer:

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3 years ago

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2 years ago

Identify a transformation of the function f(x) = x by observing the equation of the function g(x) = x − 16.

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The transformations are

(b) A vertical shift 16 units downward.
(d) A horizontal shift 16 units to the right

<h3>How to determine the transformation?</h3>

The functions are given as:

f(x) = x

g(x)= x - 16

When a function is shifted right, the transformation rule is:

(x, y) = (x - h, y)

This means that the transformation is (d) A horizontal shift 16 units to the right

Since the parent function is a base linear function.

The transformation can also be represented as:

(x, y) = (x, k - h)

This gives

g(x)= x - 16

This means that the transformation is (b) A vertical shift 16 units downward.

Hence, the transformations are (b) and (d)

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brainly.com/question/11709244

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1 year ago

4. The reflecting dish of a parabolic microphone has a cross-section in the shape of a parabola. The microphone itself is placed

elixir [45]

Assume the parabola is placed on a graph where the x-axis is the top of the dish.
The vertex is then at (0,-30) The x-intercepts or zeros are at (-30,0) and (30,0)

The equation of such parabola would be:
$y = a(x+30)(x-30)$
Plug in vertex to find value of 'a'
$-30 = a(0+30)(0-30) \\ \\ a = \frac{-30}{(-30)(30)} = \frac{1}{30}$

Now find the focus given that $p = \frac{1}{4a}$
$p = \frac{1}{4(1/30)} = \frac{30}{4} = 7.5$

Answer: the microphone should be placed 7.5 inches from vertex.

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3 years ago

the sum of two numbers is 17 the larger is 4 less than the than twice the smaller find both numbers

Tatiana [17]

Answer:

The first number is 10 and a he second number is 7.

Step-by-step explanation:

Small number= 7

Big number= 7*2=14-4

=10

4 0

3 years ago