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3 years ago

The radius of a circle is 5. What is the circumference? Thanks

Mathematics

1 answer:

larisa [96]3 years ago

8 0

Answer:

C = 31.42

C=2πr=2·π·5≈31.41593

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Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rat

Lelechka [254]

<h2>Rate at which area is increasing is 1.08 m²/s.</h2>

Step-by-step explanation:

Area of triangle is with side a and b and angle C between them is given by

A = 0.5 ab SinC

Here we need to find how area changes with a and b fixed and C is changing,

$\frac{dA}{dt}=\frac{d}{dt}\left (0.5 absinC\right )\\\\\frac{dA}{dt}=0.5ab\frac{d}{dt}\left (sinC\right )\\\\\frac{dA}{dt}=0.5abcosC\frac{dC}{dt}$

We have

a = 8 m

b = 9 m

$C=\frac{\pi}{3}rad\\\\\frac{dC}{dt}=0.06rad/s$

Substituting

$\frac{dA}{dt}=0.5\times 8\times 9\times cos\left ( \frac{\pi}{3}\right )\times 0.06\\\\\frac{dA}{dt}=1.08m^2/s$

Rate at which area is increasing is 1.08 m²/s.

4 0

3 years ago

I'll give brainliest to whoever answers the question correctly!!!!

poizon [28]

Answer:

C. Incomplete sentences

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

0=4t-16t^2 Solve this please

vaieri [72.5K]

Answer:

$\large\boxed{t=0\ \vee\ t=\dfrac{1}{4}}$

Step-by-step explanation:

$4t-16t^2=0\qquad\text{divide both sides by 4}\\\\\dfrac{4t}{4}-\dfrac{16t^2}{4}=\dfrac{0}{4}\\\\t-4t^2=0\\\\t(1-4t)=0\iff t=0\ \vee\ 1-4t=0\\\\1-4t=0\qquad\text{subtract 1 from both sides}\\\\-4t=-1\qquad\text{divide both sides by (-4)}\\\\t=\dfrac{1}{4}$

7 0

3 years ago

Is (5,1) a solution to the equation 2x-y=11? Explain

grigory [225]

This is simple. Coordinate form is (x,y) so you would just plug in your values.

2(5)-(1)=11

10-1 does not equal 11, so no it is not a solution.

7 0

4 years ago

Read 2 more answers

Ik this is rlly easy im just to lazy to do it

True [87]

The answer 12/72 because you multiply

4 0

4 years ago