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3 years ago

14. circunferencia = 7.3 m (calcularel radio ) *

Mathematics

1 answer:

Tanya [424]3 years ago

6 0

Answer:

radius =1.1618m

Step-by-step explanation:

circumference of circle =7.3m

2πr=7.3

r=7.3/(2π)=1.1618m

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Write the equation of the line in fully simplified slope-intercept form.

Aneli [31]

Answer:

$y = -\frac{1}{5}x -1$

Step-by-step explanation:

Given

The attached graph

Required

Determine the line equation

First, list out two points from the graph

$(x_1,y_1) = (-5,0)$

$(x_2,y_2) = (0,-1)$

Next, calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{-1-0}{0 -(-5)}$

$m = \frac{-1}{0 +5}$

$m = -\frac{1}{5}$

The equation in slope intercept form is:

$y = m(x - x_1) + y_1$

This gives:

$y = -\frac{1}{5}(x - (-5)) + 0$

$y = -\frac{1}{5}(x +5)$

Open bracket

$y = -\frac{1}{5}x -1$

4 0

3 years ago

Barbara mixes 54 ounces of granola and 36 ounces of raisins she divides the mixture into 6 ounces servings. how many servings do

castortr0y [4]

Barbara mixes 54 ounces of granola and 36 ounces of raisins:
54 ounces + 36 ounces = 90 ounces

Now, if you would like to divide this mixture into 6 ounces servings, you can do it like this:
90 ounces / 6 ounces = 15 servings

Result: Barbara makes 15 servings.

4 0

3 years ago

Suppose the radius of the sphere is increasing at a constant rate of 0.3 centimeters per second. At the moment when the radius i

elixir [45]

<h2>At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.</h2>

Step-by-step explanation:

We have equation for volume of a sphere

$V=\frac{4}{3}\pi r^3$

where r is the radius

Differentiating with respect to time,

$\frac{dV}{dt}=\frac{d}{dt}\left (\frac{4}{3}\pi r^3 \right )\\\\\frac{dV}{dt}=\frac{4}{3}\pi \times 3r^2\times \frac{dr}{dt}\\\\\frac{dV}{dt}=4\pi r^2\times \frac{dr}{dt}$

Given that

Radius, r = 24 cm

$\frac{dr}{dt}=0.3cm/s$

Substituting

$\frac{dV}{dt}=4\pi r^2\times \frac{dr}{dt}\\\\\frac{dV}{dt}=4\pi \times 24^2\times 0.3\\\\\frac{dV}{dt}=2171.47cm^3/min$

At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.

4 0

3 years ago

Keith bought 8 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are n

Nat2105 [25]

Answer:

52 cards

Step-by-step explanation:

call the amount he started with " x "

then he bought 8 cards

so the new equation is

x+8

then he lost half of his cards

so now the equation is

(x + 8 )/2

that amount to 30 cards as per what is given in the problem

so now the equation is

( x + 8 )/2 = 30

solve using inverse operations and simplifying

( x + 8 )/2 = 30

*2 *2

x + 8 = 60

-8 -8

x = 52

8 0

4 years ago

Lines in the same plane that do not intersect

katovenus [111]

Lines in the same plane that do not intersect are called skew lines

6 0

3 years ago

14. circunferencia = 7.3 m (calcularel radio ) *​

14. circunferencia = 7.3 m (calcularel radio ) *