Analyze the diagram below and complete the instructions that follow. Find a, b, and c.

Analyze The Diagram Below And Complete The Instructions That Follow. Find A, B, And C.

Answers

Answer 1

Answer:

The correct answer is the letter C.

Step-by-step explanation:

We can use the following trigonometric identity:

[tex]cos(60)=\frac{6}{b}[/tex] (1)

[tex]cos(45)=\frac{c}{b}[/tex] (2)

Solving each equation by b and equaling we have:

[tex]\frac{6}{cos(60)}=\frac{c}{cos(45)}[/tex]

[tex]\frac{6}{cos(60)}=\frac{c}{cos(45)}[/tex]

Let's recall that:

[tex]cos(45)=\frac{1}{\sqrt{2}}[/tex]

[tex]cos(60)=\frac{1}{2}[/tex]

Then we have:

[tex]c=\frac{cos(45)*6}{cos(60)}[/tex]

[tex]c=\frac{2*6}{\sqrt{2}}[/tex]

[tex]c=\frac{12}{\sqrt{2}}[/tex]

[tex]c=6\sqrt{2}[/tex]

Using equation (1) we can find b.

[tex]cos(60)=\frac{6}{b}[/tex]  

[tex]b=12[/tex]      

Finally, we can find a using the next equation:

[tex]tan(60)=\frac{a}{6}[/tex]

[tex]a=6*tan(60)[/tex]

[tex]a=6\sqrt{3}[/tex]

Therefore, the correct answer is the letter C.

I hope it helps you!


Related Questions

What is the name of this prism?
A. trapezoidal prism
B. pentagonal prism
C. sphere
D. hexagonal prism

Answers

It is a pentagon as it has 5 sides, penta = 5

How many proportional relationships are shown in the coordinate plane below?

Answers

Answer:

The answer is B) There is one proportional relationship

Step-by-step explanation:

The green line (the one at the top) does not go through the origin. This is not a proportional relationship.

Problem: It does not go through 0,0

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

The blue line (the one in the middle) is a straight line through the origin. This is a proportional relationship.

Reason: It goes through 0,0

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

The purple line (the one at the bottom) does not go through the origin. This is not a proportional relationship.

Problem: It does not go through 0,0

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

Conclusion: Since the green and purple lines are not proportional but the blue line is, this means only 1 line is proportional.

Note:

I know my answer is very late but I wanted to help anyone who needs it for future reference.

The number of perpendicular bisectors a segment can have is:
1 point
a) 0
b) 1
c) 3
d) 10​

Answers

Answer:

0

Step-by-step explanation:

0co

determine if it is a function, find the domain and the range.
{(9,−3),(4,−2),(1,−1), (0,0),(1,1),(4,2),(9,3)}

Answers

Answer:

it is not function

Step-by-step explanation:

because,

first of all,what do mean function

A function is a relation in which each element of the domain corresponds to exactly one

element of the range.

based on this description

Since the domain element 1 is assigned to two different values in the range, -1 and 1, so that it is

not a function

State if the scenario involves a permutation or a combination. Then find the number of possibilities.

The student body of 290 students wants to elect a president and vice president.

Permutation/Combination:

Answer:

Answers

Answer:

Permutation. ; 83810 ways

Step-by-step explanation:

Permutation and combination methods refers to mathematical solution to finding the number of ways of making selection for a group of objects.

Usually, selection process whereby the order of selection does not matter are being treated using permutation, while those which takes the order of selection into cognizance are calculated using combination.

Here, selecting 2 members (president and vice president) from 290 ; since order of arrangement does not matter, we use permutation ;

Recall :

nPr = n! ÷ (n - r)!

Hence,

290P2 = 290! ÷ (290 - 2)!

290P2 = 290! ÷ 288!

290P2 = (290 * 289) = 83810 ways

How many ways are there to rearrange the letters of the word: COMBINATION?

Answers

Answer: 4,989,600 different ways

Step-by-step explanation:

What are the degree and leading coefficient of the polynomial?
- 3v² - 2v^3+ 6-8v

Answers

9514 1404 393

Answer:

degree: 3leading coefficient: -2

Step-by-step explanation:

The highest degree term is -2v^3. Its degree is 3, so the degree of the polynomial is 3. Its coefficient is -2, so the leading coefficient is -2.

[tex]\sqrt{4+\sqrt{4+\sqrt{4+...+\sqrt{4}[/tex]

Answers

Answer:

y=0.5+sqrt(17)

Step-by-step explanation:

Let y=sqrt{4+sqrt{4+...+sqrt(4)}

y=sqrt(4+y). (Since it's an infinite series)

y^2=4+y, y=0.5-sqrt(17) or 0.5+sqrt(17). We will omit the negative since root values are positive.

Please show work. The way that you solve for surface area and vol confuse me.

Answers

Answer:

search up the formula

Step-by-step explanation:

Q:
To which axis is the line passing through A(4,3) and B(4,-2) parallel to? ​

Answers

Answer:

y-axis.

Step-by-step explanation:

The x coordinate of both points is 4, so it is parallel to they-axis.

If you are given odds of 6 to 7 in favor of winning a​ bet, what is the probability of winning the​ bet?

The probability is ___.
(Type an integer or a simplified fraction.)

Answers

Answer: 6/13

Step-by-step explanation: a/a+b = 6/6+7 = 6/13

If you are given odds of 6 to 7 in favor of winning a​ bet, the probability of winning the​ bet would be 6/13.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

Given; If you are given odds of 6 to 7 in favor of winning a​ bet, we need to find the probability of winning the​ bet.

P = a/a+b

P = 6/6+7

P = 6/13

Therefore, If you are given odds of 6 to 7 in favor of winning a​ bet, the probability of winning the​ bet would be 6/13.

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2

If my savings of $x grows 10 percent each year, how much will i have in 2 years?

Answers

Answer:

20 percent

Step-by-step explanation:

Each year is 10 percent so 10x2 or 10+10 will equal 20

Given that f(x) = 2x + 9, find the value that makes f(x) = 27.

Answers

Answer:

9

Step-by-step explanation:

f(x) = 2x+9

f(x) = 27

so, you get:

2x+9=27

2x=18

x=9

Please Help!
Use the function f(x) to answer the questions

f(x) = 5x^2 + 2x - 3

Part A: What are the x-intercepts of the graph of f(x)? Show your work (5 points)

Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show

your work (5 points)

Part 2: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph (5 points)

Answers

9514 1404 393

Answer:

  A: -1, 3/5

  B: (-1/5, -3 1/5)

  2: plot the given points and draw a curve through them.

Step-by-step explanation:

Part A

The x-intercepts are most easily found from a graph of the function. I like the Desmos graphing calculator for this purpose. The x-intercepts are -1 and 3/5.

You can also find the x-intercepts by factoring the function.

  f(x) = 5x^2 +5x -3x -3 = 5x(x +1) -3(x +1) = (5x -3)(x +1)

The x-intercepts are the values of x that make the factors zero:

  5x -3 = 0   ⇒   x = 3/5

  x +1 = 0   ⇒   x = -1

__

Part B

The vertex is on the axis of symmetry, which is the vertical line at the value of x halfway between the zeros. (-1 +3/5)/2 = (-2/5)/2 = -1/5

The value of f(x) there is ...

  f(-1/5) = (5(-1/5) +2)(-1/5) -3 = (-1 +2)(-1/5) -3 = -1/5 -3 = -3 1/5

The vertex is (-1/5, -3 1/5).

__

Part 2

The easiest step to take to graph the function is to type it into a graphing calculator (see attached).

If you're graphing this by hand, the three points given in parts A and B will be on the graph. The leading coefficient in the function is 3, so the x^2 parent function is vertically stretched by a factor of 3. This can make it a little more difficult to find points that lie on the graph.

Recognizing that the vertex form equation is ...

  f(x) = 3(x +1/5) -3 1/5

I might choose x-values that are -1/5 ± 1/2 to get y-values that are -3 1/5 + 3/4. And, x = -1/5 ± 1 ⇒ y = -3 1/5 +3.

Please helppppp!!!!!!!

Answers

Answer:

[tex](x-2)^2+(y+2)^2=9[/tex]

Step-by-step explanation:

The general equation for a circle is the following:

[tex](x-a)^2+(y-b)^2=c[/tex]

Where (a, b) is the center of the circle and ([tex]\sqrt{c}[/tex]) is the radius of the circle. In order to shift the function to the right, one has to add to the (a) value; to move it to the left one has to subtract from it. Similarly, to move the function up, one has to add to the (b) value, to move it down, one has to subtract from it. Apply this to the given function:

[tex](x+1)^2+(y-2)^2=9[/tex]

The center of this circle is (-1, 2). The circle is shifted to the right by (3) units, and down by (4). Thus the center is also shifted by these values:

(-1, 2)

Right by (3): (-1 + 3) = 2

Down by (4):  (2 - 4) = -2

Substitute back into the function:

[tex](x-(2))^2+(y-(-2))^2=9\\\\(x-2)^2+(y+2)^2=9[/tex]


Luis was worried about his Spanish final exam grade. The test had 200 questions, and he got
175 of them correct. His sister Marina took her French final exam, and she got 130 out of 150
questions. Who got the better percent score (round to the nearest tenths)?

Answers

Answer:

Luis:

[tex] \frac{175}{200} \times 100\% = 87.5\%[/tex]

Marina:

[tex] \frac{130}{150} \times 100\% = 86.6\%[/tex]

Answer: Marina got the better percent score than Luis

Marina:

33. The population of Canada, y (in millions), can be approximated by the relation y=
0.146x + 31, where x represents the number of years since 2000.
a. Approximate the population of Canada in the year 2006.
b. In what year did the population of Canada reach approximately 32,752,000?

Answers

Answer:x=6573/500,x=13(73/500

Step-by-step explanation:

It will takes 12 years to reach approximately 32,752,000.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

y = 0.146x + 31

where x represents the number of years since 2000.

a) The population of Canada in the year 2006

x= 6

y= 0.146 x 6 + 31

y = 31.876

b) The population of Canada reach approximately 32,752,000 in

y = 32.752

0.146x + 31= 32.752

0.146x = 1.752

x= 1.752/0.146

x= 12

Hence, it will takes 12 years to reach approximately 32,752,000.

Learn more about Equation here:

https://brainly.com/question/10413253

#SPJ2

I'm interval notation please

Answers

9514 1404 393

Answer:

  (-2, 4]

Step-by-step explanation:

  -21 ≤ -6x +3 < 15 . . . . given

  -24 ≤ -6x < 12 . . . . . . subtract 3

  4 ≥ x > -2 . . . . . . . . . . divide by -6

In interval notation, the solution is (-2, 4].

__

Interval notation uses a square bracket to indicate the "or equal to" case--where the end point is included in the interval. A graph uses a solid dot for the same purpose. When the interval does not include the end point, a round bracket (parenthesis) or an open dot are used.

At a hockey game, a vender sold a combined total of 192 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the
number of sodas and the number of hot dogs sold.

Answers

Answer:

they sold 64hotdogs and 128 sodas

Step-by-step explanation:

2x+x=192 3x=192 x=64

c) The exponential model A = 513.5e0.009t describes the population, A, of a
country in millions, t years after 2005. Use the model to determine when the
population of the country will be 602 million.

Answers

Answer:

zotfnKhxitfupoydkfslfndckv

sold 72 books, if ratio of books to bookmarks sols was 9:2, how many bookmarks sold?

Answers

16 book marks has been sold

Answer:

16 bookmarks

Step-by-step explanation:

9/72 = 2/x

72/9 = 8

2 x 8 = 16

hope this helps

To mix weed killer with water correctly, it is necessary to mix 18 teaspoons of weed killer with 3 gallons of water. How many gallons of water are needed to mix with the entire box if it contains 24 teaspoons of weed killer

Answers

We know that you need 18 teaspoons of weed killer and 3 gallons of water. We can represent this as a fraction as 18/3. We can simplify this fraction. 18/3 simplified is 6/1. Next, we can multiply the numerator and denominator by 4. (6*4 is 24.) This gives us 24/4. This means that for 24 teaspoons of weed killer, we need 4 gallons of water.

CAN SOMEONE HELP ME PLEASE CAN YOU FIGURE OUT WHERE I PUT 4 PI ON THE NUMBER LINE

Answers

Answer:

see below

Step-by-step explanation:

Pi is approximately 3.14

4*3.14 =12.56

So about halfway between 12 and 13

*20 points*
A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images.
Sample 1: 4
Sample 2: 1
Sample 3: 9
How do the sample statistics compare to the population mean and standard deviation?

Answers

There will be about 6.25 sheep on each acre.  

250/40 = 6.25

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

please answer quick i need to go to my friends to get my joy con fixed

Answers

The area is just the base times the height. In this case, the base is (x+4) and the height is (x+6), and then you just distribute to get x^2 +4x+6x+24 which is x^2+10x+24.

Let a submarine be at a constant depth of 5 km. It is headed in the direction of a lighthouse. If the distance between the submarine and the base of the lighthouse is decreasing at a rate of 24 km/h when the sub is 13 km away from the base, then what is the speed of the submarine

Answers

Answer:

24 km/h

Step-by-step explanation:

Given:

Constant speed of submarine = 24 km/h

Depth under sea = 5 km

Distance of submarine from lighthouse = 13 km

Find:

Speed of the submarine

Computation:

At steady speed, the distance between both the submarine and the lighthouse base decreases at a rate of 24 km/hr.

So, when it is 13 kilometres from its starting point, the speed remains constant at 24 kilometres per hour.

Find the missing side round to the nearest tenth

Answers

Answer:  11.6

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

Work Shown:

sin(angle) = opposite/hypotenuse

sin(29) = x/24

24*sin(29) = x

x = 24*sin(29) ..... exact value

x = 11.635430885912 .... approximate value

x = 11.6

To get the approximate value, you'll need a calculator. Make sure the calculator is in degree mode.

The answer would be 12.

?
What is the equation of a parabola whose focus is (-4, -1)
and whose directrix is
y = -5?

y = + x – 1
8
o
y = -

--X+1
8
y?
x =
+ у - 1
8
y2
X = -
8 Y+1

Answers

Answer:

1st option,

y = x²/8 + x - 1

Answered by GAUTHMATH

4. Jack started packing the box shown with 1-centimeter cubes.
- cubic centimeter
Select all the true statements below.
A. Jack needs to add 2 more layers to fill the box.
B. Jack packed 16 cubes into the bottom of the box.
The box is 8 centimeters long.
The box is 3 centimeters high.
E.) The volume of the box is 32 cubic centimeters.
F. The volume of the box is 16 centimeters.

Answers

Answer:

if I am not mistakedn the answe id e

The polygons in each pair are similar. Find the missing side length.

Answers

Let missing side be x

If both polygons are similar

[tex]\\ \sf\longmapsto \dfrac{3}{4}=\dfrac{18}{x}[/tex]

[tex]\\ \sf\longmapsto 3x=4(18)[/tex]

[tex]\\ \sf\longmapsto 3x=72[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{72}{3}[/tex]

[tex]\\ \sf\longmapsto x=24[/tex]

Other Questions
In ancient times, scientists believe that matter could be destroyed by burning or breaking. Modern Sciences believe that matter cannot be destroyed. What best account for these different opinions? Put words in correct order:Madrid a en conoci Angelica Which statement describes the law of conservation of energy?All systems will exchange matter and energy with their surroundings.All systems can exchange energy, but not matter, with their surroundings.Energy cannot be created nor destroyed, but it changes from one form to another.Energy is destroyed in most chemical reactions when new products are formed. According to the Centers for Disease Control and Prevention, the proportion of U.S. adults age 25 or older who smoke is .22. A researcher suspects that the rate is lower among U.S. adults 25 or older who have a bachelor's degree or higher education level.What is the null hypothesis in this case Temperature is measured in what unit?JJ/goCJ/goC Alex cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces? (iii) n(U) = 25, n(A) = 16 and n (B) = 2 n(AUB)=? solve the equation - 2(3x+5/x+2) -5(x+2/3x-5) = 3 , where x unequal -2 and x unequal 5/3it's urgentplease quyswith solution The speed (S) an object falls varies directly with time. If the speed is 49.0 m/s after 5 seconds, then what is the speed after 3 seconds?S= 16.3 m/sS=29.4 m/sS= 3.3 m/sS= 81.6 m/s I connected to an external hard drive to transfer some photos from my vacation. When I try to drag the photo, it bounces right back and does not transfer. What is the likely cause of this issue? a. hard drive is full b. photos were taken in a different country c. USB port is broken d. the file structure of the 2 hard drives are not compatible If a friend says that she wants a confidence with you, what doesshe mean? Base your answer on the meaning of confidence as itappears in The Tragedy of Romeo and Juliet Act II. Please help I dont understand Can someone please explain how to do number 23 I have no idea how to do it. 1+1+5+8+6+45+6+4+34+423 What is today's date Y OIT An ice cream store determines the cost of its sundaes by using the formula C = 0.50s + 0.35n + 0.25t, where C is the total cost in dollars, s is the number of scoops of ice cream, n is the number of scoops of nuts, and t is the number of liquid toppings. A Nutty Sundae costs $3.55. It has 3 scoops of nuts and 2 different liquid toppings. How many scoops of ice cream are in this sundae? Which of the following is true about resistivity of any given metal? depends on its temperature. varies nearly linearly with temperature. has units of ohm-meter. A. II and III only B. I and II only C. I and III only D. I, II and III E. III only A worker in the automobile industry works an average of 43.7 hours per week. Assume the distribution is normal with a standard deviation of 1.6 hours. (i) What is the probability that a randomly selected automobile worker works less than 40 hours per week?(ii) If 15 automobile workers are randomly selected, what is the probability that the sample mean of working time is more than 45 hours per week? Kapco Advisers is a federal covered investment advisers with its principal office in New York City and several offices in New Jersey.Joe Segal, who lives in Manhattan, is an IAR with the firm and has the responsibility for serving those clients of Kapco who winter in Florida. In order to do so, Joe takes a hotel suite in Miami Beach for one week in December, in Boca Raton for one week in January, and in West Palm Beach for one week in February. While Mr. Segal is using these facilities to meet with existing clients, he does let them know that if they have any friends who might be interested in the firm's advisory services, they are welcome to make an appointment with him. Which of the following statements is correct regarding Mr. Segal's registration status under the Uniform Securities Act?-Because Joe is meeting with existing clients who are not permanent Florida residents, he does not have to register as an IAR in the state of Florida.-Because Joe is employed by a covered adviser, no registration is necessary in the state of Florida.-Because Joe is employed by a covered adviser, he is only required to register with the SEC.-Because Joe may be meeting with individuals who are not existing clients and may be Florida residents, he must be registered in the state of Florida as an IAR. what are the impacts of land relief on agriculture?