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3 years ago

Suppose the diameter of a circle is \color{green}{6}6start color green, 6, end color green units. What is its circumference?

Mathematics

1 answer:

inessss [21]3 years ago

3 0

Answer:

C = 6pi units

C is approximately 18.84 units

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

The diameter is 6 units

C = 6*pi units

If we approximate pi by 3.14

C = 6*3.14

C = 18.84 units

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Geometric solids are three-dimensional representations of a figure. True False

sergey [27]

Answer:

it's false

Step-by-step explanation:

a figure is two-dimensional

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4 years ago

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Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.

qwelly [4]

Answer:

$\displaystyle \frac{dy}{dt}=-\frac{33}{8}$

$\displaystyle \frac{dx}{dt}=\frac{3}{2}$

Step-by-step explanation:

x and y are differentiable functions of t, and we are given the equation:

$xy=6$

First, let's differentiate both sides of the equation with respect to t. So:

$\displaystyle \frac{d}{dt}\left[xy\right]=\frac{d}{dt}[6]$

By the Product Rule and rewriting:

$\displaystyle \frac{d}{dt}[x(t)]y+x\frac{d}{dt}[y(t)]=0$

Therefore:

$\displaystyle y\frac{dx}{dt}+x\frac{dy}{dt}=0$

We want to find dy/dt when x = 4 and dx/dt = 11.

Using our original equation, find y when x = 4:

$\displaystyle (4)y=6\Rightarrow y=\frac{3}{2}$

Therefore:

$\displaystyle \frac{3}{2}\left(11\right)+(4)\frac{dy}{dt}=0$

Solve for dy/dt:

$\displaystyle \frac{dy}{dt}=-\frac{33}{8}$

We want to find dx/dt when x = 1 and dy/dt = -9.

Again, using our original equation, find y when x = 1:

$(1)y=6\Rightarrow y=6$

Therefore:

$\displaystyle (6)\frac{dx}{dt}+(1)\left(-9)=0$

Solve for dx/dt:

$\displaystyle \frac{dx}{dt}=\frac{3}{2}$

5 0

3 years ago

Which box and whisker plot represent the data set 11,6,19,14,21,7,13,15,15

alexgriva [62]

Answer:

The answer is d dark spots at 6, 9, 14, 17, 21

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3 years ago

Which of the following are exterior angles?Check all that apply. Help asap plz

ddd [48]

Angle 6, angle 4, angle 3, and angle 2 are all exterior angles.

Hope this helps!

4 0

4 years ago

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Shawn has $5 more than Rj and Riley has $10 less than Shawn. If there combined total is $414, how much does

ExtremeBDS [4]

Answer:

Rj has $138$ dollars, Shawn has $143$ dollars, and Riley has $133$ dollars.

Step-by-step explanation:

Let's make the amount of money Rj has $x$ , so Shawn would have $5+x$ dollars, and Riley would have $(5+x)-10$ dollars. Altogether they have $414$ dollars, so you can create an equation.

$x+(5+x)+((5+x)-10)=414\\3x+0=414\\3x=414\\x=138$

Now that we know that $x=138$ , we can substitute x into each equation.

Rj has $138$ dollars, Shawn has $143$ dollars, and Riley has $133$ dollars.

5 0

2 years ago

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