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LiRa [457]
2 years ago
6

What is √ 48 in simplified radical form? 2 √ 12 2 12 4 √ 6 4 6 4 √ 3 4 3 12 √ 2

Mathematics
2 answers:
Vinvika [58]2 years ago
7 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Let's solve ~

  • \sqrt{48}

  • \sqrt{2 \times 2  \times 2 \times 2 \times 3}

  • (2 \times 2) \sqrt{3}

  • 4 \sqrt{3}
Akimi4 [234]2 years ago
4 0

Answer:

4√3

Step-by-step explanation:

\\  \sf \sqrt{48}

\\  \sf =  \sqrt{2 \times 2 \times 2 \times 2 \times3 }

\\  \sf =  \sqrt{ {2}^{4} \times 3 }

\\  \sf =  \sqrt{ {2}^{4} }  \sqrt{3}

\\  \sf =  {2}^{ \frac{4}{2} }  \sqrt{3}

\\  \sf  = {2}^{2}  \sqrt{3}

\\  \sf = 4 \sqrt{3}

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A homeowner has two smoke detector alarms installed, one in the dining room (adjacent to the kitchen) and one in an upstairs bed
cestrela7 [59]

Answer:

0.97

Step-by-step explanation:

Given that a homeowner has two smoke detector alarms installed, one in the dining room (adjacent to the kitchen) and one in an upstairs bedroom (above the kitchen). If cooking produces smoke in the kitchen, the probability of setting off the dining room alarm (D) is .95. The probability of setting off the bedroom alarm (B) is .40.

Both alarms are independent of each other.

Probability for smoke detection=P(any one alarm rings)

=P(Kitchen alarm sets off)+P(bed room alarm sets off)-P(Both sets off)

Since both are independent

P(Both) = 0.95*0.40\\=0.38

Probability for smoke detection

= 0.95+0.40-0.38

=0.97

7 0
3 years ago
What is the sum of the first 12 terms of the geometric series below 1/2+2+8+32+
Georgia [21]

∴\frac{1}{2} +2+8+32.......12^{th}term =2796202.5

Step-by-step explanation:

First term(a) = \frac{1}{2}   common ratio(r)     =\frac{2}{\frac{1}{2} }   =4

n= 12

S_{n}=\frac{a(r^n-1)}{(r-1)}

S_{12}=\frac{\frac{1}{2}(4^{12}-1) }{4-1} =2796202.5

∴\frac{1}{2} +2+8+32.......12^{th}term =2796202.5

5 0
3 years ago
Mark the statements that are true.
lara [203]

Answer:

Correct answers:

A. An angle that measures \frac{\pi}{6}  radians also measures  30^o

C. An angle that measures 180^o  also measures \pi  radians

Step-by-step explanation:

Recall the formula to transform radians to degrees and vice-versa:

\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\  \\\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians

Therefore we can investigate each of the statements, and find that when we have a \frac{\pi}{6}  radians angle, then its degree formula becomes:

\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians\\\angle\,degrees=\frac{180^o}{\pi} \,* \,\frac{\pi}{6} \\\angle\,degrees=\frac{180^o}{6} \\\angle\,degrees=30^o

also when an angle measures 180^o  , its radian measure is:

\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\\angle\,radians=\frac{\pi}{180^o} \,* \,180^o\\\angle\,radians=\pi

The other relationships are not true as per the conversion formulas

7 0
3 years ago
Which expression represents the average of three test scores?
fomenos

Answer:

It is C

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
12x+3y=-9 <br><br>find y- intercept​
ivolga24 [154]

Answer:

3

Step-by-step explanation:

subtract 3y from both sides

add 9 to both sides

3y=12x+9

divide everything by 3

y=4x+3

y-intercept is 3

6 0
3 years ago
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