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2 years ago

The speed of a falling object increases at a constant rate as time increases since the object was dropped. Which

Mathematics

1 answer:

Lapatulllka [165]2 years ago

5 0

Answer:

the upper one

Step-by-step explanation:

because the dropping speed of the object is increasing but the time is constant

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22,056 people went to the baseball game on Sunday. Half as many people came on money. How many people were at the baseball game

lana66690 [7]

Answer:

33084

Step-by-step explanation:

22056 divided by 2 =11028

altogether (on sunday and monday) the total amount would be..

22056+11028=33084

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3 years ago

Read 2 more answers

State whether each pair of triangles is similar by AA-SSS-or SAS-. If none of

alexgriva [62]

It doesn’t tell me what to put

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3 years ago

Use a surface integral to ﬁnd the surface area of the portion of the sphere xUse a surface integral to ﬁnd the surface area of t

brilliants [131]

Parameterize this surface (call it $S$ ) by

$\vec r(u,v)=\cos u\sin v\,\vec\imath+\sin u\sin v\,\vec\jmath+\cos v\,\vec k$

with $0\le u\le2\pi$ and $0\le v\le\dfrac\pi4$ . The limits on $u$ should be obvious. We find the upper limit for $v$ by solving for $v$ where the sphere and cone intersect:

$\begin{cases}x^2+y^2+z^2=1\\z=\sqrt{x^2+y^2}\end{cases}\implies x^2+y^2=\dfrac12$

$\implies(\cos u\sin v)^2+(\sin u\sin v)^2=\dfrac12$

$\implies\sin^2v=\dfrac12$

$\implies\sin v=\dfrac1{\sqrt2}\implies v=\dfrac\pi4$

Take the normal vector to $S$ to be

$\vec r_u\times\vec r_v=-\cos u\sin^2v\,\vec\imath-\sin u\sin^2v\,\vec\jmath-\cos v\sin v\,\vec k$

(orientation does not matter here)

Then the area of $S$ is

$\displaystyle\iint_S\mathrm dA=\iint_S\|\vec r_u\times\vec r_v\|\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^{\pi/4}\int_0^{2\pi}\sin v\,\mathrm du\,\mathrm dv$

$=\displaystyle2\pi\int_0^{\pi/4}\sin v\,\mathrm dv=\boxed{(2-\sqrt2)\pi}$

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3 years ago

Carson took a total of 24 quizzes over the course of 4 weeks. How many weeks of school will Carson have to attend this quarter b

erastovalidia [21]

Answer:

9 weeks

Step-by-step explanation:

Assuming he takes equal number of quizzes weekly then having taken 24 quizzes within 4 weeks means for every week Carson took 24/4=6 quizzes per week.

With a target of 54 quizzes this quater and while maintaining 6 quizzes per week then Carson will take 54/6= 9 weeks to meet thw target.

Therefore, Carson needs 9 weeks this quater

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4 years ago

If the volume for 3-D pyramid A is 400 cm3 and the volume for 3-D pyramid B is 800 cm3, how many times bigger is the volume of p

Zarrin [17]

The answer for this question is (100% correct)

A. 2

8 0

3 years ago