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3 years ago

Find the surface area of a sphere with a radius of 8cm

1 answer:

3 0

I believe the proper way to find the surface area of a sphere is 4 times 3.14 (which is Pi) times the radius squared. Or 4(3.14)*r^2.

Where I found 804.25

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The blue figure is a dialation image of the black figure. The labeled point is the center of dilation. Tell wheaten the dilation

algol13

I need a picture of the figures to help with this!

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4 years ago

Read 2 more answers

Chris and his brother leave the same point and run in opposite directions on a straight road. After running for 3 Hours they are

ikadub [295]

<span>Chris' average speed is 3.5mph: Lets take Chris' brother speed = B then Chris speed = (B+ 1) mph-------given in the question and: The average speed for covering 18 miles= chris' average speed + his brother's average speed = (B+ 1) + B since Speed = Distance covered / time taken then average speed for 18 miles can also be found by: 18 miles/3 hours = 6 miles per hour then we have; (B+ 1) + B = 6mph (B +1) = (6-B) B+B = 6-1=5 2B=5 B=5/2=2.5 mph (this is Chris' brother average speed) Hence Chris' average speed is = B+1= 2.5+1= 3.5mph</span>

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3 years ago

Calculus 3 chapter 16

o-na [289]

Evaluate $\vec F$ at $\vec r$ :

$\vec F(x,y,z) = x\,\vec\imath + y\,\vec\jmath + xy\,\vec k \\\\ \implies \vec F(\vec r(t)) = \vec F(\cos(t), \sin(t), t) = \cos(t)\,\vec\imath + \sin(t)\,\vec\jmath + \sin(t)\cos(t)\,\vec k$

Compute the line element $d\vec r$ :

$d\vec r = \dfrac{d\vec r}{dt} dt = \left(-\sin(t)\,\vec\imath+\cos(t)\,\vec\jmath+\vec k\bigg) \, dt$

Simplifying the integrand, we have

$\vec F\cdot d\vec r = \bigg(-\cos(t)\sin(t) + \sin(t)\cos(t) + \sin(t)\cos(t)\bigg) \, dt \\ ~~~~~~~~= \sin(t)\cos(t) \, dt \\\\ ~~~~~~~~= \dfrac12 \sin(2t) \, dt$

Then the line integral evaluates to

$\displaystyle \int_C \vec F\cdot d\vec r = \int_0^\pi \frac12\sin(2t)\,dt \\\\ ~~~~~~~~ = -\frac14\cos(2t) \bigg|_{t=0}^{t=\pi} \\\\ ~~~~~~~~ = -\frac14(\cos(2\pi)-\cos(0)) = \boxed{0}$

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2 years ago

1/4 of all telephones at the office have built-in speaker phones 1/2 of the phone with the built in speaker phones have conferen

neonofarm [45]

Answer:

1/8

Step-by-step explanation:

1/2 of 1/4 is 1/8

7 0

3 years ago

If Keng worked for 30 minutes on monday, 15 minutes on Tuesday and 45 minutes on

diamong [38]

Answer:

90 mins, or 1 hr and 30 mins. 3/2 hours, which would simplify to 1 1/2?

Step-by-step explanation:

4 0

3 years ago