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2 years ago

What is the value of x? A. 6 B. 6 square root of 2 C. 12 D. 12 square root of 2

Mathematics

2 answers:

____ [38]2 years ago

8 0

You would use the sine function
sin(x)=opposite/hypotenuse
sin(45)=6√2/x (cross multiply)
x*sin(45)=6√2
x*√2/2=6√2 (multiply both sides by 2)
x*√2=12√2 (divide both sides by √2)
x=12 so C

Hope this helps

Aleksandr [31]2 years ago

6 0

C because 6 times 2 equals 12

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In Exercises 17-20, find the value of x so that the function has the given value. 17. f(x) = 8x - 7; f(x) = 17

Nastasia [14]

Answer:

17.) x = 3

18.) x = -5

I couldn't do 19.) and 20.) for you because there are weird symbols that I believe you mistakenly input. But I'm sure you now get the gist of how to solve such problems. Peace <3

Step-by-step explanation:

All you really have to do for all of the problems is substitute your value of "x" for the function.

17.) f(x) = 8x - 7; f(x) =17

17 = 8x -7 ---- substitute 17 for f(x), add 7 on both sides

24 = 8x ------ divide 8 on both sides

x = 3

18.) g(x) = -4x + 7; g(x) = 27

27 = -4x + 7 substitute 27 for g(x), subtract 7 on both sides

20 = -4x

x = -5

5 0

2 years ago

Find the dimensions of an open rectangular box with a square base that holds 2000 cubic cm and is constructed with the least bui

Vesnalui [34]

<h3>The dimensions of the given rectangular box are:</h3><h3>L = 15.874 cm , B = 15.874 cm , H = 7.8937 cm</h3>

Step-by-step explanation:

Let us assume that the dimension of the square base = S x S

Let us assume the height of the rectangular base = H

So, the total area of the open rectangular box

= Area of the base + 4 x ( Area of the adjacent faces)

= S x S + 4 ( S x H) = S² + 4 SH ..... (1)

Also, Area of the box = S x S x H = S²H

⇒ S²H = 2000

$\implies H = \frac{2000}{S^2}$

Substituting the value of H in (1), we get:

$A = S^2 + 4 SH = S^2 + 4 S(\frac{2000}{S^2}) = S^2 + (\frac{8000}{S})\\\implies A = S^2 + (\frac{8000}{S})$

Now, to minimize the area put :

$(\frac{dA}{dS} ) = 0 \implies 2S - \frac{8000}{S^2} = 0\\\implies S^3 = 4000\\\implies S = 15.874 \approx 16 cm$

Putting the value of S = 15.874 cm in the value of H , we get:

$\implies H = \frac{2000}{S^2} = \frac{2000}{(15.874)^2} = 7.8937 cm$

Hence, the dimensions of the given rectangular box are:

L = 15.874 cm

B = 15.874 cm

H = 7.8937 cm

3 0

3 years ago

Simplify(3 square root 3 x square root 5 square root of 3)Square root of negative two

Assoli18 [71]

Answer:

9√10 (nine square root ten)

Step-by-step explanation:

(3√3 .√5.√3.)√2

= (3√3*3.√5)√2

=(3*3.√5)√2

=(9√5) √2

=9√5*2

=9√10

8 0

3 years ago

A randomized controlled study was designed to test whether regular drinking of cranberry juice can prevent the recurrence of uri

Kamila [148]

Answer:

1. The chi-squared statistic = 10.36

The degrees of freedom = 17

The p-value for the test = 0.89

2. The range of the p-value from the Chi squared table = 0.75 < p-value < 0.90

Step-by-step explanation:

1. The Chi squared test is given as follows;

$\chi ^{2} = \sum \dfrac{\left (Observed - Expected \right )^{2}}{Expected }$

Therefore,

UTI No UTI % Total

Cranberry juice 8 42 84 50

Lactobacillus 19 30 61 49

Control 18 30 60 50

The chi-squared statistic is given as follows;

$\chi ^{2} = \dfrac{\left (8- 18\right )^{2}}{18} + \dfrac{\left (42 - 30\right )^{2}}{30} = 10.36$

The chi-squared statistic = 10.36

The degrees of freedom, df = 18 - 1 = 17 since the all of the expected count have a minimum value of 18

With the aid of the calculator we find the p value as p as follows;

$p = 0.9 - \dfrac{10.36 - 10.085}{12.972 - 10.085} \times (0.9 - 0.75)$

The p-value for the test = 0.89

2. The range of the p-value from the Chi squared table is given as follows;

0.75 < p-value < 0.90.

5 0

3 years ago

What is arctan(1)???

jok3333 [9.3K]

Answer:

0.785398163 rad

Step-by-step explanation:

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2 years ago