Find the volume of the composite solid shown below, Round answer to the nearest hundredth.

Mathematics

1 answer:

MrMuchimi3 years ago

4 0

First you’d start off by finding the volume of the rectangular prism on the bottom. The formula for this is lwh or (length*width*height) so you’d plug in the numbers and get 4*4*5 which multiplies out to be 80inches cubed. Next you’d have to find the volume of the pyramid by using the formula lwh/3 or ((length*width*height)/3) so it would be ((4*4*6)/3) and that equals 32inches cubed. Finally, you add the 2 volumes together so 80inches cubed+32inches cubed and get 112inches cubed. Hope this helps

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Of the at-home games, what proportion of games were wins? (Note: Some answers are rounded to two decimal places

Sati [7]

Answer:

0.33

Step-by-step explanation:

See comment for complete question

Given

$H = 60\%$

$W=25\%$

$HW = 20\%$ --- at-home wins

Required

The proportion of at-home games that were wins

This proportion is represented as:

$Pr = HW : H$

Substitute values for HW and H

$Pr = 20\% : 60\%$

Divide by 20%

$Pr = 1 : 3$

Express as fraction

$Pr = 1 /3$

$Pr = 0.33$

4 0

3 years ago

If sin^-1 (x+3) = -pi/6 , x = ?

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First recall that $\sin^{-1}x$ is defined only for $-1\le x\le1$ , which means $\sin^{-1}(x+3)$ requires that $2\le x+3\le4$ .

Over this domain, $\sin^{-1}(x+3)$ will be invertible, and so taking the sine of both sides, we have

$\sin^{-1}(x+3)=-\dfrac\pi6\implies\sin\left(\sin^{-1}(x+3)\right)=\sin\left(-\dfrac\pi6\right)$
$x+3=-\sin\dfrac\pi6$
$x+3=-\dfrac12$
$x=-\dfrac72$