In right triangle DEF, it is known that Cos D = (12/13) and Cos F = (5/13). If FD = 39, then DE = ? Hint, draw the right triangle.

Answers

Answer 1

Answer:

The value of the line segment [tex]ED[/tex] is 36.

Step-by-step explanation:

The hypotenuse represents the longest side in the right triangle. In this case, FD represents the hypotenuse as it is a multiple of 13. Based on the trigonometric relations described in the statements, we get the following relationships by definition of cosines:

[tex]\cos D = \frac{ED}{FD}[/tex] (1)

[tex]\cos F = \frac{EF}{FD}[/tex] (2)

If we know that [tex]\cos D = \frac{12}{13}[/tex] and [tex]FD = 39[/tex], then the length of the line segment [tex]ED[/tex] is:

[tex]ED = FD\cdot \cos D[/tex]

[tex]ED = 39\cdot \left(\frac{12}{13} \right)[/tex]

[tex]ED = 36[/tex]

The value of the line segment [tex]ED[/tex] is 36.


Related Questions

NEED ASAP ---- 25 POINTS---NO LINKS

What is the slope of the line in both of the graphs?

Answers

Answer:

-10

Step-by-step explanation:

First, we need to find the slope, defined by m, using the equation

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

First, we must choose points. I will choose (2, 165) as point 1 and (1, 175) as point two, so:

x1= 1

y1= 165

x2= 2

y2= 175

Now, let's plug it in.

[tex]m = \frac{175 - 165}{1 - 2} = \frac{10}{ - 1} = - 10[/tex]

For the next one, we follow the same process.

Point 1: (3, 165)

Point 2: (2, 175)

[tex]m = \frac{175 - 165}{2 - 3} = \frac{10}{ - 1} = - 10[/tex]

1. Mary noticed 5 ants in her pantry on Monday. On Tuesday she counted 15 ants in the pantry. On Wednesday she counted 45 ants in the pantry,

Day Ants

Monday 0 5

Tuesday 1 15

Wednesday 2 45

Part A Determine an exponential function model (y=ab) to represent the number of ants in the pantry in terms of the number of elapsed days. Explain how you arrived at your model.

Part B Does the problem situation represent exponential growth or decay? Justify your reasoning.​

Answers

so what is really the answer?

PLEASE HELPP.
What is x.
2x +6 = -20​

Answers

Answer:

x = -13

Step-by-step explanation:

2x + 6 = -20

Subtract 6 on both sides.

2x = -26

Divide by 2 on both sides.

x = -13

Answer:

-13

2x + 6 = -20

2x =  -26

x = -26 / 2

x=-13

What is the surface area of the right rectangular prism below?


25030
A.
130 in.2

B.
154 in.2

C.
308 in.2

D.
312 in.2

Answers

Answer:

Hello! answer: 308 HOPE THAT HELPS!

The diagram shows a triangle.

What is the value of c?

Answers

67+74=141
180-141=39
Your answer is 39

Answer:

C=39

Step-by-step explanation:

180=sum of angles in a triangle

67+74+C=180

141+C=180

C=180-141

C=39

Janine has 48 hockey cards in one book and 105 hockey cards in another book. The hockey cards come in packages of 5 cards. If Janine bought all of her hockey cards in packages, how many packages did she buy?

Answers

Answer: 31

Step-by-step explanation:

Janine has 48 hockey cards in one book and 105 hockey cards in another book. Therefore, the total hockey cards will be:

= 48 + 105

= 153 hockey cards

Since the hockey cards come in packages of 5 cards, the number of packages that she will buy will be:

= 153/5

= 30 3/5

= 31

Therefore, she'll buy 31 packages

What is the value of 5•(13÷3)÷2? Please answer!!!!!

Answers

Answer:  10.83

Step-by-step explanation:

Pemdas

65/6 maybe I am not sure though

a) Expand and simplify.
7(x - 2) - 2(x - 1)
b) Factorise fully.
8x2
+ 6x

Answers

Answer:

a).  5x - 12   b). 2x(4x + 3)

Step-by-step explanation:

a). 7(x - 2) - 2(x - 1)

= 7x - 14 - 2x + 2

= 5x - 12

b). 8x² + 6x

2x(4x + 3)

Complete the statement with equal to, greater than, or less than. 1/3 x 2 1/6 will be 2 1/6

Answers

Answer:         c

Step-by-step explanation:

bc

Hey can someone give me some really easy questions that i can answer i would really appreciate it thank you any subject

Answers

What’s your favorite fruit?

The varsity soccer team has 20 players. Three of the players are trained to be goalies while the remaining 17 can play any position. Only 11 of the players can be on the field at once.
(a) We want to find the number of possible groups of 11 players the coach can choose. Is this a
permutation or a combination?
(b) If the coach wanted to choose her 11 starters at random by drawing names from a hat, how many possible groups of 11 starters could she choose?
(c) The coach wants to make sure there is exactly one goalie on the field. How many ways can the
coach choose a lineup of 11 players if exactly 1 player must be a goalie?

Answers

Answer:

Combination.

167960

58344

Step-by-step explanation:

A.)

Choosing 11 players from 20 ; here the order in which the players are chosen does not matter, hence it is a combination problem.

2.)

Using nCr

n = 20 ; selection, r = 11

nCr = n! / (n-r)!r!

20C11 = 20! / 9!11!

20C11 = 167960

3.)

1 goalie 10 players

3C1 * 17C10

3 * 19448

= 58,344 ways

ONLY NEED ANSWER FOR PART B PLEASE AND THANK U!!

Windows on the International Space Station are shown below. Suppose the long base of the window is 15.2 feet and the short base is 11.2 feet. The perpendicular height from one base to the other base is 8.4 feet. Draw one of the trapezoid-shaped windows on grid paper and label its dimensions. Describe the process you would use to find the area of one trapezoid-shaped window. (2 points)


Calculate the area of the window using the dimensions given in Part A. Show your work and explain your reasoning. (4 points)

Answers

Answer:

The formula is Area = base+base/2 x height.

Step-by-step explanation:

This means that we need to add both bases, then  divide that by 2. The quotient of that gets multiplied by the height, and you have your answer.

Answer:

½h(a+b)

Step-by-step explanation:

½×8.4(11.2+15.2)

4.2 × 26.4

105.68

Graph: Y-3 = 1/2 (x + 2)

Answers

Move all terms not containing y to the right side of the

equation.

y= X/2+4

Rewrite in slope-intercept form.

y=1/2x+4

Use the slope-intercept form to find the slope and y

intercept.

Slope: 1/2

y-intercept: (0,4)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values. Answer: (0,4) (2,5)

trigonometric ratios​

Answers

Answer:

(√3+1.4)m

Step-by-step explanation:

By forming a right triangle, we can see that the angle of elevation is 30°.

In a 30-60-90 triangle, the side opposite the 30° is the other leg multiplied by 1/√3.

x= [tex]\frac{3}{\sqrt{3} } =\frac{3\sqrt{3} }{\sqrt{3}*\sqrt{3} } =\frac{3\sqrt{3} }{3} =\sqrt{3}[/tex]

The height of the pole is (√3+1.4)m

Which story represents the graph below?


A, The cost of milk rises, until it hits a steady cost. Then it goes on sale, before a sharp increase in cost.

B,The cost of gas rises, and then doesn't change for while. The cost falls before finishing with a sharp increase.

C, both of the above

D, neither of the above

Answers

Answer:

both of the above

Step-by-step explanation:

The correct representation of the graph will be;

''The cost of gas rises, and then doesn't change for while. The cost falls before finishing with a sharp increase.''

Option B is true.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The graph is shown in figure with relation between Time and Cost.

Now,

In the graph;

From the start, The cost of gas is rise with increase in graph, and then in cost no change occur with constant line.

The, the cost falls with falls in graph and then the cost is sharp increase before finishing.

Thus, The correct representation of the graph will be;

''The cost of gas rises, and then doesn't change for while. The cost falls before finishing with a sharp increase.''

Learn more about the expression visit:

https://brainly.com/question/1859113

#SPJ5

can someone write down the steps how you go from f(x) to g(x)

Answers

Answer:

this is an example of your question

I hope it helps

Determine the equation of the line parallel to the line y=34x+2
y=3/4x+2 that passes through the point (4, -3).

Answers

Answer:

y = 34x - 139 (y = 34x + 2)

y = [tex]\frac{3}{4}[/tex]x - 6 (y = 3/4x +2)

Step-by-step explanation:

(I'm not sure if the two equations were the same or not, but I provided the answers just in case.) Parallel lines are two lines that have the same plane and slope but never intersect. To find the equation, use the formula y - [tex]y_{1}[/tex] = m (x - [tex]x_{1}[/tex])

Can someone help me out with the last three, will mark as brainliest if correct!

Answers

Answer:

x = 65

y = 71

z = 44

Step-by-step explanation:

y = 71 because If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent

2. Which of the options below show two numbers that are opposites? Select all that apply.
A) 8.9 and -8.9
B) -24 and 42
C) -15 and 51
D) -9.7 and 9.7
E) 2.8 and -2.8

Answers

Answer:

D) -9.7 and 9.7

E) 2.8 and -2.8

Name an angle supplementary to angle COD.

Answers

Answer:

ur question is incomplete. what is angle COD

matthew lives 6 miles east of the school drew lives 8 miles north of the school. what is the shortest distance between the two houses? A. Two miles b. 10 miles c. 100 miles d. 4 miles

Answers

Answer:

Step-by-step explanation:

2miles

The required shortest between the two houses is given as 10 miles. Option B is correct.

What are Pythagorean triplets?  

In a right-angled triangle, its side, such as the hypotenuse, is perpendicular, and the base is Pythagorean triplets.

Here,
Matthew lives 6 miles east of the school drew lives 8 miles north of the school.

Let's assume, the position of Mathew and drew house create the right angle with the school,
hypotenuse distance between Mather and Drew's house be x,
Applying the Pythagoras theorem,

x = √[8² + 6²]
x = √[100]
x = 10 miles

Thus, the required shortest between the two houses is given as 10 miles. Option B is correct.

Learn  more about Pythagorean triplets here:

brainly.com/question/22160915

#SPJ2

Chase is a contestant on a game show. His scores in each of the first four rounds are shown below. Chase's final score is double his score after the four rounds. What is Chase's final score? Show your work.
help me please.

Answers

-35+45+90+-15x2 i’m assuming which would be 70. good luck besti

please help me , thank you

Answers

Answer:

80 degrees

Step-by-step explanation:

one half of the circle makes a straight line and that will equal 180 degrees so 60+45=105

180-105=80

so the missing angle is x=80

Answer:

x = 75 degrees

Step-by-step explanation:

60 + 60 = 120

45 + 45 = 90

120 + 90 = 210

360 - 210 = 150

150 / 2 =75 degrees

Two forces of 960 pounds and 670 pounds act simultaneously on an object. The angle between the two forces is 34 degrees find the magnitude of the resultant to the nearset tenth.

Answers

Answer:

1561

Step-by-step explanation:

Marking brainliest!

Don’t use the internet pls!

Answers

I would say based on Lincoln's success and that Lincoln helped inspire Martin. Lincoln won the Civil War which helped open the minds of other people who were pro-slavery so that's what I mean about the success.

What is the length of each segment?
Segment AB: from A(-2,1) to B(-2, 5)

Answers

Answer:

[tex]length = \sqrt{ {( - 2 - ( - 2))}^{2} + {(5 - 1)}^{2} } \\ = \sqrt{16} \\ = 4 \: units[/tex]

Answer:

4 units

Step-by-step explanation:

helpmiiiiiiiiiiiiiiiiiiiiiiiiii​

Answers

Answer:

[tex]2x - 3y = 5 - - - (a) \\ 5x = 4y + 14 \\ 5x - 4y = 14- - - (b) \\ 5 \times (a) - 2 \times (b) : \\ - 7y = - 3 \\ y = \frac{3}{7} \\ x = \frac{22}{7} [/tex]

Answer:

SO not sure if you want me to solve the equation after, but if it's just asking for the matrix method then here ya go

Step-by-step explanation:

SO, first equation is already in matrix form

Second equation = -5x + 4y = -14

So your answer is:

2x - 3y = 5

-5x + 4y = -14

Alex wants to buy cupcakes for his work office but also does not want to spend over $25 because he doesn't like his co workers *that* much. If each cupcake cost $1.50, what is the max number of cupcakes that Alex can buy without going over his $25 limit? Write an equation and solve it.

Answers

Answer:

16 cupcakes

Step-by-step explanation:

Amount Alex wants to spend = $25

Cost of each cupcake = $1.50

what is the max number of

cupcakes that Alex can buy without going over his $25 limit?

Let

x = maximum number of cupcakes Alex can buy

Amount Alex wants to spend = Cost of each cupcake * maximum number of cupcakes Alex can buy

25 = 1.50x

x = 25 / 1.50

x = 16.67

The maximum number of cupcakes that Alex can buy without going over his $25 limit is 16 cupcakes as a whole

What is the distance of this figure, I have the answer it’s 140 ft I just need to show the work

Answers

Separating the triangles in 2, you get 2 similar triangles.
The bigger triangle has lengths twice the size of the small triangle.
So the length 280 is twice the size as the length across sinkhole.
This means that the length of the sinkhole is 280/2 or 140

What are these numbers least to greatest ??!!! 8th grade math !!

Answers

Answer:

i gotchu its d

Step-by-step explanation:

hope it helps!

Yep it’s definitely D.
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