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Anvisha [2.4K]
2 years ago
12

{3\sqrt{2} }" alt="\frac{4\sqrt{5}}{3\sqrt{2} }" align="absmiddle" class="latex-formula">
Please solve with steps
Mathematics
2 answers:
kykrilka [37]2 years ago
7 0

Step-by-step explanation:

= \frac{4 \sqrt{5} }{3 \sqrt{2} }

Calculate the expression...

= \frac{4\sqrt{10} }{6}

Reduce the fraction..

= \frac{2 \sqrt{10} }{3}

Contact [7]2 years ago
7 0

Answer -

  • Given expression -

\frac{4 \sqrt{5} }{3 \sqrt{2} }  \\

<u>we're</u><u> </u><u>required</u><u> </u><u>to </u><u>rationalise</u><u> </u><u>the </u><u>expression</u><u> </u><u>!</u>

<u>therefore</u><u> </u><u>,</u><u> </u><u>we'll</u><u> </u><u>be </u><u>rationalising </u><u>the </u><u>denominator.</u>

\frac{4 \sqrt{5} }{3 \sqrt{2} }  \times  \frac{3 \sqrt{2} }{3 \sqrt{2} }  =  \frac{12 \sqrt{10} }{18}  \\  \\ \implies \:  \frac{\cancel6(2 \sqrt{10}) }{\cancel{18} } \\  \\ \implies \:  \frac{2 \sqrt{10} }{3}

hope this helps !

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Answer:

25

Step-by-step explanation:

2 + 2+ 2 + 2 = 8

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3 0
2 years ago
A graph of two functions is shown below:
kirill [66]

Answer:

x = -1

Step-by-step explanation:

because both lines intersects at -1.

8 0
3 years ago
3 3/4 ÷ 3/4 is equal to a) 5 b) 2 c) 3 d) 1
lions [1.4K]
A) 5
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3 0
3 years ago
Read 2 more answers
Rosetta wants to estimate the percentage of people who rent their home. She surveys 250 individuals and finds that 48 rent their
Andreas93 [3]

Answer:

0.192 - 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.151

0.192 + 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.233

Step-by-step explanation:

Information given

X= 48 number of people who rent their home

n= 250 represent the sample size

\hat p =\frac{48}{250}= 0.192 represent the proportion of people who rent their home

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=\pm 1.645

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.192 - 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.151

0.192 + 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.233

3 0
3 years ago
Mrs. Miller has a rectangular garden with a length of 20 feet long with an area of (20x-200) square feet. Write an expression th
krek1111 [17]

Perimeter = (20 + 2x) mm.

Step-by-step explanation:

The octopus pupil has length 20 mm and the expression for its area is given by (20x - 200) square mm.

If the width of the octopus pupil is w, then 20w = 20x - 200

⇒ w = (x - 10) mm.

Therefore, the expression for its perimeter is 2(Length + Width) = 2 ( 20 + x - 10) = 2( 10 + x) = (20 + 2x) mm. (Answer)

6 0
2 years ago
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