Find the total surface area in square kilometers, of the 3-dimensional

Mathematics

2 answers:

Mumz [18]3 years ago

6 0

Answer: 120 km^2
Explanation:
S = (9x3) + (9x4) + (4x3)2/2 + (9x5)
S= 27 + 36 + 12 + 45
S = 120

Verizon [17]3 years ago

3 0

$\displaystyle\bf\\\textbf{We have a prism with a rectangular triangle base.}\\\\Base~area\!:~~Ab=\frac{3\times4}{2}=\frac{12}{2}=6~km^2\\\\Lateral~area\!:~~Al=(3+4+5)\times9=12\times9=108~km^2\\Total~area\!:~~At=2\times Ab+Al=2\times 6+108=12+108=\boxed{\bf120~km^2}\\$

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dotted line and shading below a line

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What is the square root of 64 over 225 with a negative outside of the radical?

irinina [24]

The square root of (64/225) is the same as √64 / √225 .
That could make the whole thing easier.

Do you know what either of those separate square roots is ?

You're right ! I'm so impressed!
The square root of 64 IS 8, and the square root of 225 surely is 15 .
You really know your stuff !

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3 years ago

A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts. Estimate the true proportion

Andreas93 [3]

Answer: (0.5496, 0.5754)

Step-by-step explanation:

The confidence interval for population proportion (p) is given by :-

$\hat{p}\pm z*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$ , where $\hat{p}$ = Sample proportion , n= sample size , z*= Critical z-value.

Let p be the proportion of all college students who are in favor of banning Hawaiian shirt.

Given, A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts.

i.e. n=4000

$\hat{p}=\dfrac{2250}{4000}=0.5625$

z-value for 90% confidence level is 1.645

Now , 90% confidence interval for p would be :

$0.5625\pm (1.645)(\sqrt{\dfrac{0.5625(1-0.5625)}{4000}})$

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