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Dimas [21]
3 years ago
8

What is the exact value of the expression the square root of 72 − the square root of 8 + the square root of 128?

Mathematics
2 answers:
kotykmax [81]3 years ago
7 0
The answer is
12 \times  \sqrt{2}


Romashka [77]3 years ago
4 0

Answer:

Option B is correct.

Step-by-step explanation:

Given Expression is \sqrt{72}-\sqrt{8}+\sqrt{128}

Simplify the given expression,

72 = 2 × 2 × 2 × 3 × 3                 ⇒ √72 = 6√2

8 = 2 × 2 × 2                               ⇒ √8 = 2√2

128 = 2 × 2 × 2 × 2 × 2 × 2 × 2   ⇒ √128 = 8√2

⇒  \sqrt{72}-\sqrt{8}+\sqrt{128}=6\sqrt{2}-2\sqrt{2}+8\sqrt{2}

    =12\sqrt{2}

Therefore, Option B is correct.

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The movie theater charges $4 for children, $6 for adults, and $5 for seniors. A group of 14 people decide to go to the movies. T
MaRussiya [10]

Answer:

Adults=8

Childrens=2

Seniors=2

Step-by-step explanation:

Children $4

Adults $6

Seniors $5

There are an equal number of seniors and children.

The entire group spent a total of $66.

If 11 adults attended, the total amount will be $66 and the number of senior and childrens will be the same, 0. But this is not possible because the statement says that childrens and seniors are part of the group.

If we add the charges of childrens and seniors is equal to $9.

Assuming that the group has 2 childrens and 2 seniors the add is equal to:

(2*5)+(2*4)= 18

Now we substract the result from the total amount:

66-18=48

48 is multiple of 6, this means we have in the group 8 adults, 2 childrens and 2 seniors.  

         

4 0
3 years ago
an architect wants to build three similar triangles such that the ratio of the middle triangle. The smallest one has side length
vampirchik [111]

Answer:  15

<u>Step-by-step explanation:</u>

small:     5     12      13

middle:  __   36     39

large:    45   108    117

Notice that to get from the small to the large, multiplied by 9

5(9) = 45    12(9) = 108    13(9) = 117

That is because the sides are proportional \dfrac{5}{45}=\dfrac{12}{108}=\dfrac{13}{117}\rightarrow\dfrac{1}{9}

To get from small to middle, multiply by 3  

5(3) = 15     12(3) = 36    13(3) = 39

To solve it using proportions:

\dfrac{5}{x}=\dfrac{12}{36}\\\\\\\text{Cross Multiply and solve for x:}\\5(36)=12x\\\\\dfrac{5(36)}{12}=x\\\\5(3)=x\\\\\large\boxed{15}=x

7 0
3 years ago
Write an equation in slope intercept form for the line thepasses through (-1,-6) and is parallel to x+3y=6
enot [183]

Answer:

The slope-intercept form equation of the line that passes through (1, 3) and (3, 7) is y = 2x +1.

Step-by-step explanation:

7 0
2 years ago
I need help with this asap! i will give brainliest :) (image included)
trasher [3.6K]

7 x 3 = 21 so it is 21 ft cm your welcome

5 0
2 years ago
Read 2 more answers
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose pe
soldier1979 [14.2K]

Using the normal distribution, it is found that:

a) 0.8599 = 85.99% probability that x is more than 60.

b) 0.1788 = 17.88% probability that x is less than 110.

c) 0.6811 = 68.11% probability that x is between 60 and 110.

d) 0.0643 = 6.43% probability that x is greater than 125.

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

  • The mean is of 87, thus \mu = 87.
  • The standard deviation is of 25, thus \sigma = 25.

Item a:

This probability is <u>1 subtracted by the p-value of Z when X = 60</u>, thus:

Z = \frac{X - \mu}{\sigma}

Z = \frac{60 - 87}{25}

Z = -1.08

Z = -1.08 has a p-value of 0.1401.

1 - 0.1401 = 0.8599

0.8599 = 85.99% probability that x is more than 60.

Item b:

This probability is the <u>p-value of Z when X = 110</u>, thus:

Z = \frac{X - \mu}{\sigma}

Z = \frac{110 - 87}{25}

Z = 0.92

Z = 0.92 has a p-value of 0.8212.

1 - 0.8212 = 0.1788.

0.1788 = 17.88% probability that x is less than 110.

Item c:

This probability is the <u>p-value of Z when X = 110 subtracted by the p-value of Z when X = 60</u>.

From the previous two items, 0.8212 - 0.1401 = 0.6811.

0.6811 = 68.11% probability that x is between 60 and 110.

Item d:

This probability is <u>1 subtracted by the p-value of Z when X = 125</u>, thus:

Z = \frac{X - \mu}{\sigma}

Z = \frac{125 - 87}{25}

Z = 1.52

Z = 1.52 has a p-value of 0.9357.

1 - 0.9357 = 0.0643.

0.0643 = 6.43% probability that x is greater than 125.

A similar problem is given at brainly.com/question/24863330

7 0
3 years ago
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