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sp2606 [1]
2 years ago
13

What is the simplified form of 3 StartRoot 135 EndRoot?

Mathematics
2 answers:
jek_recluse [69]2 years ago
5 0

Answer:

9 \sqrt{135}

Step-by-step explanation:

Express 135 as a product of 15 and 9:

135=15*9

So:

3\sqrt{15*9}

Now, use the following property:

\sqrt[n]{a*b} =\sqrt[n]{a}\hspace{3} \sqrt[n]{b}

Therefore:

3\sqrt{15} \sqrt{9}

Since the square root of 9 is 3, the simplified form of 3\sqrt{135}:

3\sqrt{15} \sqrt{9}=3*3\sqrt{15} =9\sqrt{15}

svetoff [14.1K]2 years ago
3 0

\bf 3\sqrt{135}~~ \begin{cases} 135=&3\cdot 3\cdot 15\\ &3^2\cdot 15 \end{cases}\implies 3\sqrt{3^2\cdot 15}\implies 9\sqrt{15}

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Which number line correctly shows 0.8 + 0.3? A number line going from 0 to 1.3 in increments of 0.01. An arrow goes from 1.1 to
steposvetlana [31]

Answer:

the second number line in the second row OR The number line D in the attached image

Step-by-step explanation:

Lets start solving the question.

(For ease of understanding each line i have labeled them please see the attachment to relate my explanation)

first read the question it i mentioned that which number line currently shows 0.8+0.3.

After reading the question it is clear that which ever line will represent it will be the addition of 08.+0.3.

here please take a note that we are dealing with a number line hence the sign also matters.

Now lets start analyzing lines one by one.To make it easy i have attached an image where i have labeled the lines as A,B,C,D,E,and F for the ease  of understanding.

so take the first line A into consideration,

its starting from 0.3 and ending at 0 means its decrementing you can also determine it with the direction. any line that originates from the origin and goes to the right shows increment and addition and the lines that originates from origin and goes to the left shows decrement.

so here we can easily all those lines which are showing a leftward directions as it is decrementing and we want a line that increments 0.8+0.3

so now th lines A,B,F and H can be skipped.

We are done with analyzing line A, line B is skipped and now lets start with C.

here the line start from 0 and ends at 0.8 so it cant be the line as 0.8+0.3 yields 0.11.

so line C can't be the correct one.

Now lets consider the next line that is D.

here it starts at 0.8 and ends at 0.11 means exactly showing an increment of 0.3 also its showing a positive directions as its heading to the right.

so this is the line that correctly shows 0.8+0.3.

Now consider line E it cant be the correct line as its showing only 0 to 0.8.

and now the line that will confuse you is line G.

it starts at 0.3 and ends at 0.11 here there is increment of 0.8 though it seems like correct but it cant be the line showing 0.8+0.3 as we have to select the line that originates at 0.8 and shows an increment of 0.3 and not the one which originates at 0.3 and ends at 0.11 showing an increment of 0.8.

Also the question itself is asking 'LINE' and not 'LINES' so you can take such minute things also into Consideration for avoiding any kind of confusion.

I hope this will help  you.

7 0
1 year ago
Read 2 more answers
In Lixue's garden, the green pepper plants grew 5 inches in 3/4 month. At this rate, how many feet can they grow in one month? (
steposvetlana [31]

Answer:

\frac{20}{27}  feet

Step-by-step explanation:

We can simply set up a ratio to solve this problem.

Since plant grew 5/9 foot in 3/4 month, how many feet (let it be x) can it grow in 1 month??

We can set up the ratio shown below, cross multiply and solve for x:

\frac{\frac{5}{9}}{\frac{3}{4}}=\frac{x}{1}\\\frac{5}{9}*1=\frac{3}{4}*x\\\frac{5}{9}=\frac{3}{4}x\\x=\frac{\frac{5}{9}}{\frac{3}{4}}\\x=\frac{5}{9}*\frac{4}{3}\\x=\frac{20}{27}

Hence, we can say the pepper plant will grow 20/27 feet in 1 month.

8 0
2 years ago
The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement of the handler as
Rzqust [24]

Answer:

  109.9 ft

Step-by-step explanation:

The length of an arc that is 1/4 of a circle of radius 70 ft is ...

  s = rθ

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The best answer choice appears to be 109.9 feet.

4 0
2 years ago
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What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?
Semenov [28]

The answer is<u> C) x = 25; 107 degrees </u>

6 0
2 years ago
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Erica earns $11.00 per hour and works a 40 - hour workweek. She is paid time and a half for every hour worked over 40 hours duri
GREYUIT [131]
Base pay = $11 x 40 or $440

$605 - 440 = $165 in overtime
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11 x 1.5 = $16.50

$165 ÷ $16.50 = 10 hours of overtime.
5 0
1 year ago
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