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taurus [48]
3 years ago
11

Need help adding these √54 + √24

Mathematics
2 answers:
Gennadij [26K]3 years ago
8 0

Answer:

12.247 Hope I helped

Step-by-step explanation:

\sqrt{54}+\sqrt{24}  \\7.348+4.899\\12.247

SCORPION-xisa [38]3 years ago
3 0

Answer:

5\sqrt[]{6}

Step-by-step explanation:

\sqrt[]{54}+\sqrt[]{24}

We can rewrite 54 as 6*9 and 9 can be rewritten as 3^2.

24 can be rewritten as 3*8 and 8 can be rewritten as 2^3 or 2^2*2

I'm doing this because that way I can easily take those numbers out of the square (2) root.

Let's rewrite our square roots.

\sqrt[]{6*3^2}+\sqrt[]{3*2^2*2}

3 cancels the square in the first square root, and same does 2 squared in the second square root.

3\sqrt[]{6}+2\sqrt[]{3*2}

Solve;

3\sqrt[]{6}+2\sqrt[]{6}

When you have square roots with equal value inside, you can add the numbers outside of it.

3+2(\sqrt[]{6})

5\sqrt[]{6}

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The length of given frame is 7 inches

The width of given frame is 5 inches

Assume the thickness of frame is 1 inches (as it is not clear in picture)

Area of square will be 7*5= 35 sq.inch.

Area of hollow surface 5*3= 15 sq.inch.

Area of frame = square area- hollow area= 35-15

Area of wooden portion of frame = 20 sq.inch.

5 0
3 years ago
How do you draw a line of best fit on a scatter diagram
Soloha48 [4]

Answer:

I learned a trick, where you draw a line that has the same number of points on top/above the line as there are points below the line.

Step-by-step explanation:

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2 years ago
This is a true or false answer please help me**
Nitella [24]

Answer:

5False

6  true

7 true

Step-by-step explanation:

5 Complementary angles add to 90 degrees not 180 degrees

6  40+50 = 90 so they are complementary

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   145+x = 180

Subtract 145 from each side

145-145 +x = 180-145

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3 0
3 years ago
At a hot air ballon festival, Erica spots a red ballon due east at an angle of elevation of 36 degrees. She turns due west and s
gulaghasi [49]

Answer:

Step-by-step explanation:

Given

Balloon in the east makes an angle of elevation of 36^{\circ} and is at height of 461 m

Balloon in the west makes an angle of elevation of 51^{\circ} and is at height of 296 m

Erica height is 1.6 m tall   so net altitude of Red balloon is 459.4 m

and net height of Blue balloon is 294.4 m

using trigonometry

\tan 36=\frac{459.4}{d_1}

\tan 51=\frac{294.4}{d_2}

d_1=632.30 m

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7 0
3 years ago
A hardware store receives a shipment of bolts that are supposed to be 12 cm long. The mean is indeed 12 cm, and the standard dev
Yuliya22 [10]

Answer: 0.9104

Step-by-step explanation:

Given : A hardware store receives a shipment of bolts that are supposed to be 12 cm long.

Mean : \mu=12\text { cm}

Standard deviation : \sigma= 0.2\text{ cm}

Sample size : n=10

Since, they will declare the shipment defective and return it to the manufacturer if the average length of the 100 bolts is less than 11.97 cm or greater than 12.04 cm.

So for the shipment to be satisfactory, the length of the bolts must be between 11.97 cm and 12.04 cm.

We assume that the length of the bolts are normally distributed.

Let X be the random variable that represents the length of randomly picked bolt .

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For x = 11.97

z=\dfrac{11.97-12}{\dfrac{0.2}{\sqrt{100}}}=-1.5

For x = 12.04

z=\dfrac{12.04-12}{\dfrac{0.2}{\sqrt{100}}}=2

By using the standard normal distribution table ,  the probability that the shipment is found satisfactory will be :-

P(511.97

Hence,  the probability that the shipment is found satisfactory=0.9104

3 0
3 years ago
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