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3 years ago

What is the volume of the following rectangular prism? 3/20 units^2 2/3 units

Mathematics

2 answers:

Blizzard [7]3 years ago

8 0

Step-by-step explanation:

\-x+sqrt1−x

\-=sqrt2(2x

−1).

\-x+sqrt1−x

\-=sqrt2(2x

−1).

User avatar

Posts: 82

Joined: Tue Jul 22, 2008 7:36 am

Location: Bulgaria

Reputation: 7

\-x+sqrt1−x

\-=sqrt2(2x

−1).

User avatar

Posts: 82

Joined: Tue Jul 22, 2008 7:36 am

Location: Bulgaria

Reputation: 7

\-x+sqrt1−x

\-=sqrt2(2x

−1).

User avatar

Posts: 82

Joined: Tue Jul 22, 2008 7:36 am

Location: Bulgaria

Reputation: 7

\-x+sqrt1−x

\-=sqrt2(2x

−1).

User avatar

Posts: 82

Joined: Tue Jul 22, 2008 7:36 am

Location: Bulgaria

Reputation: 7

\-x+sqrt1−x

\-=sqrt2(2x

−1).

User avatar

Posts: 82

Joined: Tue Jul 22, 2008 7:36 am

Location: Bulgaria

Reputation: 7

\-x+sqrt1−x

\-=sqrt2(2x

−1).

User avatar

Posts: 82

Joined: Tue Jul 22, 2008 7:36 am

Location: Bulgaria

Reputation: 7

\-x+sqrt1−x

\-=sqrt2(2x

−1).

User avatar

Posts: 82

Joined: Tue Jul 22, 2008 7:36 am

Location: Bulgaria

Reputation: 7

\-x+sqrt1−x

\-=sqrt2(2

vladimir1956 [14]3 years ago

6 0

Answer:1/10^3

Step-by-step explanation:

3/20×2/3=1/10^3

Area of the base×height

Hope it helps❤

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Find the solution to the following system of equations: <br><br>y+2x=3<br>y-4x=10

Korolek [52]

Answer:

x=-7/6, y=16/3. (-7/6, 16/3).

Step-by-step explanation:

y+2x=3

y-4x=10

-----------

y=4x+10

4x+10+2x=3

6x+10=3

6x=3-10

6x=-7

x=-7/6

y+2(-7/6)=3

y-14/6=3

y=3+14/6

y=18/6+14/6

y=32/6=16/3

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4 years ago

If john can run 6 yards in 10 seconds, how far can he run in miles per hour?

frutty [35]

Answer:

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Step-by-step explanation:

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4 years ago

Paige was playing a trivia game where you gained points for correct answers and lost points for incorrect answers. At the start

victus00 [196]

Givens

Start = S = - 700

# Correct = C = 8

Value Correct = VC = 400

# Incorrect =I = 9

Value Incorrect =VI = - 600

Equation

Score = S + C*VC + I*VI Substitute

Solve

Score = -700 + 8*400 + 9(-600)

Score = -700 + 3200 - 5400

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5 0

3 years ago

Adi drew a circle with a radius of 10 cm. What is the area of the circle? Use 3. 14 for pi

tatyana61 [14]

Answer:

314

Step-by-step explanation:

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4 0

3 years ago

Evaluate the integral using the indicated trigonometric substitution. (use c for the constant of integration.) x^3 / sqrt x^2 +

slava [35]

$\displaystyle\int\frac{x^3}{\sqrt{x^2+49}}\,\mathrm dx$

Taking $x=7\tan\theta$ gives $\mathrm dx=7\sec^2\theta\,\mathrm d\theta$ , so that the integral becomes

$\displaystyle\int\frac{(7\tan\theta)^3}{\sqrt{(7\tan\theta)^2+49}}(7\sec^2\theta)\,\mathrm d\theta$
$=\displaystyle7^4\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{49\tan^2\theta+49}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\tan^2\theta+1}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\sec^2\theta}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{|\sec\theta|}\,\mathrm d\theta$

When $\sec\theta>0$ , we have

$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sec\theta}\,\mathrm d\theta$
$=\displaystyle7^3\int\tan^3\theta\sec^2\theta\,\mathrm d\theta$

and from here we can substitute $u=\tan\theta$ to proceed from here.

Quick note: When we set $x=7\tan\theta$ , we are implicitly enforcing $-\dfrac\pi2$ just so that the substitution can be undone later via $\theta=\tan^{-1}\dfrac x7$ . But note that over this domain, we automatically guarantee that $\sec\theta>0$ , so the absolute value bars can be dropped immediately.

6 0

3 years ago