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podryga [215]
3 years ago
13

Write 3 times the square root of 2 plus 2 times the square root of 3 in simplest form.

Mathematics
1 answer:
lubasha [3.4K]3 years ago
8 0

Answer:

D

Step-by-step explanation:

3\sqrt{2} + 2\sqrt{3}

is in simplest form and cannot be simplified further


You might be interested in
14. In a right triangle, if one acute angle has measure 10x + 6 and the other has measure 2x + 7, find the larger of these two a
lubasha [3.4K]

Answer:

421/6 degrees

Step-by-step explanation:

The acute angles of a right triangle are complementary, so

10x+6+2x+7=90 \\ \\ 12x+13=90 \\ \\ 12x=77 \\ \\ x=\frac{77}{12}

So, the acute angles measures 421/6 degrees and 119/6 degrees, and thus the larger angle is 421/6 degrees.

7 0
1 year ago
A recipe requires 5/6 of a cup of sugar. If mrs.Marina is going to make one half of the recipe, how much sugar does she need
NemiM [27]

Answer:

Half\ of\ the\ recipe\ requires\ \frac{5}{12}\ of\ a\ cup\ of\ sugar.

Step-by-step explanation:

As given

A\ recipe\ requires\ \frac{5}{6}\ of\ a\ cup\ of\ sugar.

i.e

\frac{5}{6}\ cup\ of\ sugar = 1\ recipe

As the  mrs.Marina is going to make one half of the recipe .

Thus\ multiply\ above\ by\ \frac{1}{2}.

We get

\frac{5\times 1}{6\times 2}\ cup\ of\ sugar = \frac{1}{2}\ recipe

solving the above

\frac{5}{12}\ cup\ of\ sugar = \frac{1}{2}\ recipe

Therefore\ half\ of\ the\ recipe\ requires\ \frac{5}{12}\ of\ a\ cup\ of\ sugar.



7 0
3 years ago
Which measurement is the best estimate for the length of a bean?
Vanyuwa [196]
The best estimate for the length of a bean would be B: 13 cm
5 0
3 years ago
A sample of 13 sheets of cardstock is randomly selected and the following thicknesses are measured in millimeters. Give a point
valina [46]
<h3>Answer:  0.061</h3>

===============================================

Explanation:

Add up the values to get

1.96+1.81+1.97+1.83+1.87+1.84+1.85+1.94+1.96+1.81+1.86+1.95+1.89= 24.54

Then divide over 13 (the number of values) to get 24.54/13 = 1.8876923 which is approximate.

So the mean is approximately 1.8876923

---------------------

Now make a spreadsheet as shown below

We have the first column as the x values, which are the original numbers your teacher provided. The second column is of the form (x-M)^2, where M is the mean we computed earlier. We subtract off the mean and square the result.

After we compute that column of (x-M)^2 values, we add them up to get what is shown in the highlighted yellow cell at the bottom of the column.

That sum is approximately 0.04403076924

Next, we divide that over n-1 = 13-1 = 12

0.04403076924 /12 = 0.00366923077

That is the sample variance. Apply the square root to this to get the sample standard deviation. This is the point estimate of the population standard deviation. As the name implies, it works for samples that estimate population parameters.

sqrt(0.00366923077) = 0.06057417576822

This rounds to 0.061 which is the final answer.

5 0
2 years ago
if 20 men can finish a piece of work in 30 days how many additional numbers of mains will be employed to finish the work in 24 d
Cerrena [4.2K]

Answer:

Step-by-step explanation:

no of days                                                   no of men

30                                                                         20

24                                                                             20

30/24=x/20

24 x=30*20

24x=600

x=600/24

x=25

therefore  5 more men are needed to complete the work in 24 days                

8 0
3 years ago
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