Find c.
Round to the nearest tenth:

9514 1404 393

Explanation:

Obviously, the way you use trig ratios will depend on the problem. The problems you see in algebra and trig courses are a good sampling of the kinds of problems you run across in the real world. Some of them include ...

  finding height or widths based on a measure and an angle (SOH CAH TOA)

  finding areas based on side lengths and an angle (area formula)

  finding unknown sides or angles of a triangle (law of sines/cosines)

  finding bearing and/or distance (spherical trig relations, law of cosines)

__

As with solving problems of any kind, you choose the appropriate formula(s), fill in the known values, and solve for the unknown values. Sometimes a real-world problem will require solution of intermediate problems before the answer to the original question is found.

Answer:

72.06

Step-by-step explanation:

Given that :

Side Lenght, a = 10

Edge length, b = 17

Using Pythagoras :

h = height of pyramid

h = sqrt (b² - 1/2a²)

h = sqrt(17^2 - 10^2/2)

h = sqrt(289 - 50)

h = 15.46

Slant height :

L = sqrt(h² + a²/4)

L = sqrt(15.46² + 25)

L = sqrt(239 + 25)

L = sqrt(264)

L = 16.25

Sinα = h/L

α = sin^-1 (15.46/16.25)

α = 72.060933

= 72.06

The approximate value of the angle formed between the base and a triangular face is 72.0775°.

Let [tex]h[/tex] be the distance between the center of the square base and the midpoint of the side of the square and let [tex]H[/tex] the height of the triangular face of the pyramid. By properties of the square and the Pythagorean theorem we derive expressions for [tex]h[/tex] and [tex]H[/tex], respectively:

Square base

[tex]h = 0.5\cdot L[/tex] (1)

Triangular face

[tex]H = \sqrt{l^{2}-0.25\cdot L^{2}}[/tex] (2)

Where:

Finally, by trigonometry we can derive an expression for the angle between the base and a triangular face ([tex]\theta[/tex]), in sexagesimal degrees:

[tex]\theta = \cos^{-1} \frac{h}{H}[/tex] (3)

If we know that [tex]L = 10\,km[/tex] and [tex]l = 17\,km[/tex], then the angle between the base and a triangular face is:

[tex]h = 5\,km[/tex]

[tex]H = \sqrt{17^{2}-5^{2}}[/tex]

[tex]H \approx 16.248\,km[/tex]

[tex]\theta = \cos^{-1} \frac{5\,km}{16.248\,km}[/tex]

[tex]\theta \approx 72.0775^{\circ}[/tex]

The approximate value of the angle formed between the base and a triangular face is 72.0775°.

We kindly invite to check this question on pyramids: https://brainly.com/question/16303112

Answer:

A' is (1,1) B is (4,1) C is (1,-1)

Step-by-step explanation:

Since we rotating the figure about point a, we know a is the center of the rotation meaning no matter how far we rotate point a new image will stay on where point a pre image was which in this case is (1,1). Also since we know the rules of rotating a angle 90 degrees About the origin we are going to translate the figure to have the one point we are rotating about at the orgin. Since translations are a rigid transformations, the figure will stay the same A. Move the figure 1 to the left and 1 down so A becomes 0,0 B becomes 0,3 and C becomes 2,0. Then apply the rules of 90 degree clockwise rotation rules. (x,y) goes to (y,-x) . A stays (0,0) B becomes (3,0) and C becomes (0,-2). Then translate the figure 1 to the right and 1 down since we rotating about point a which is 1,1 and it at 0,0 rn. A' is 1,1. B' becomes (4,1). C' becomes (1,-1).

Answer: A. We are 95% confident that the population mean weight gain for male University of South Texas students is 2.4 more to 20,4 more than female University of South Texas students.

Step-by-step explanation:

Given a 95% confidence interval of : (2.4, 20.4)

The lower boundary of the interval = 2.4

The upper boundary of the interval = 20.4

Male = group 2, Female = group 1

P2 - P1 is between lower boundary more and upper boundary more ;

Hence

Population mean weight for male is 2.4 more to 20.4 more than female

Answer:

G

Step-by-step explanation:

Answer:$12,800

Step-by-step explanation:

Add 400 to every n in the equation, I’ll be using y for the “p(n)” part cus it always confuses me like that.

Y=52(400)-0.05 x 400^2

=20,800 - 0.05 x 160,000

=20,800 - 8,000

=12,800

Answer:

600/25 = 24

Brainiest plz :)

Answer:

600/25 = 24

Have a good day I hope this helps.

Answer:

3

Step-by-step explanation:

<---------1-----------2---------3----3.52----4----->

Answer:

The average rate of change between x = 1 to x = 2 is 2, from x = 2 to x = 3 is 4 and from x = 3 to x = 4 is 8.

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

You have to Subtract 6 ¼ by 5 ½

Answer:

$8.75

Step-by-step explanation:

1.25 times 7 equals 8.75 so it is reduced by 8.75

Answer:

yes, x does have an exact proportion of y

Step-by-step explanation:

9514 1404 393

Answer:

  (B)

Step-by-step explanation:

The power of x is 1 everywhere except equation (B), where it is 1/2.

Equation B is a nonlinear function of x.

Answer:

Step-by-step explanation: D

Answer:

A

Step-by-step explanation:

took le test review and got that question right

Answer:

A

Step-by-step explanation:

got it right edge2021

This question is incomplete, the complete question is;

Determine if the described set is a subspace. Assume a, b, and c are real numbers.

The subset of R³ consisting of vectors of the form [tex]\left[\begin{array}{ccc}a\\b\\c\end{array}\right][/tex] , where abc = 0

Answer:

Therefore; The set is not a subspace

Step-by-step explanation:

Given the data the question;

the subset R³;

S = {  [tex]\left[\begin{array}{ccc}a\\b\\c\end{array}\right][/tex] , where abc = 0 }

we know that a subset of R³ is a subspace if it stratifies the following properties;

Looking at the properties, we can say that it is not a subspace

As;

         u = [tex]\left[\begin{array}{ccc}1\\1\\0\end{array}\right][/tex] ∈ S       and v = [tex]\left[\begin{array}{ccc}0\\1\\1\end{array}\right][/tex]  ∈ S

As    1×1×0=0                          0×1×1=0

But   u+v = [tex]\left[\begin{array}{ccc}1+0\\1+1\\0+1\end{array}\right] =[/tex] [tex]\left[\begin{array}{ccc}1\\2\\1\end{array}\right][/tex]  ∉  S     as 1×2×1 ≠ 0

Hence, it is not closed under addition.

Therefore; The set is not a subspace

Answer:

78

Step-by-step explanation:

Ratio of left-footed teachers to right-footed teachers = 3:13

18 left-footed teachers; 3x6 = 18 (3:13 is a simplified ratio and to get 18, you have to multiply 3 by 6)

13x6 = 78 (whatever you do to one side, you have to do the other)

78 right-footed teachers

The are 78 teachers are right footed.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

The ratio of the number of left footed teachers: the number of right footed teachers = 3:13

Total left footed teachers = 18

let the Common ratio be x.

Then , number of left footed teachers= 3x

and, number of right footed teachers= 13x

So, 3x= 18

x= 6

Hence, there are 78 teachers are right footed.

Learn mor about algebra here:

https://brainly.com/question/24875240

#SPJ2

Answer:

Step-by-step explanation:

Simplify

Answer:

There are 177,100 ways.

Step-by-step explanation:

Since there is no regard to order, we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

6 keyboards from a set of 25. So

[tex]C_{25,6} = \frac{25!}{6!(25-6)!} = 177100[/tex]

There are 177,100 ways.

Answer:

Step-by-step explanation:

63/22 = 2.86363 = 2.86

Answer:

Step-by-step explanation:

That would be 8/5 = 1.3 = 130/100 = 130%

Answer:

I think it is 24

Step-by-step explanation:

15÷5=3

3×8=24

Answer:

24

Step-by-step explanation:

divide 15 by 5 to get 3 which is equal to 1/8 of the number. then just multiply 3 by 8 to get 24.

Answer:

50 fish

Step-by-step explanation:

80% 40 fish :8

10% 5 fish x10

100% 50 fish

Answer:

the answer is 2223 please mark as brainliest

Answer:

2223

Step-by-step explanation:

its a simple math issue

Answer:

27455

Step-by-step explanation:

32300per of 85

is 27455

Answer: b) The probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.

Step-by-step explanation:

Given that:

Number of samples = 100

Number of defective samples = 15

Proportion =number defective samples / total samples

P = 15 / 100 = 0.15

Hence, the probability that an item produces is defective is 0.15.

However, due to sampling Variations, the probability will be corrected for these variations. Hence, probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.

Answer:

x = 50

Step-by-step explanation:

x = 180 - 130 = 50

Answer:

x=50

Step-by-step explanation:

Answer:

the second one or b. :)

Step-by-step explanation:

1) $9.60

2)$13.77

3)$4.17

Step-by-step explanation:

Answer:

y = -1x + 6

slope ^   ^ y-intercept

Step-by-step explanation:

3x + 3y = 18

3y = -3x + 18

y = -1x + 6

hope this helps

Answer:

y int: 6 slope: -1

Step-by-step explanation:

Convert to y=mx+b format

3x + 3y - 18 = 0

3x - 18 = -3y

-1x + 6 = y

in mx+b format, m is the slope and b is the y-int:

m = -1

b = 6

Answer:

c believe me

Step-by-step explanation: