In ΔFGH, f = 960 inches, g = 380 inches and h=820 inches. Find the measure of ∠F to the nearest degree.

Answers

Answer 1

Answer:

[tex]m\angle F\approx 100^{\circ}[/tex]

Step-by-step explanation:

For any triangle, the Law of Cosines is given by [tex]c^2=a^2+b^2-2ab\cos C[/tex], where all three variables are interchangeable.

Therefore, we have:

[tex]f^2=g^2+h^2-2gh\cos F,\\960^2=380^2+820^2-2(380)(820)\cos F,\\\cos F=-\frac{131}{779},\\F=\arccos(-\frac{131}{779})\approx \boxed{100^{\circ}}[/tex]


Related Questions

PLEASE HELP
Write an equation of a line that passes through (3, -1) and is parallel and perpendicular to y = 6x - 4


the first person to get this will get all 60 points and brainliest

Answers

Answer:

x + 6y = -3

Step-by-step explanation:

Explained in the paper.

what are the steps to this problem?

Answers

angles b and the angle that measures 68° are complimentary angles so they add up to 180°. angle b would be 112°.

Which ones are parallel?

Answers

the answer is : a||b

Answer:

a║b

Step-by-step explanation:

can somebody please help me like neowwwww!!!!

Answers

--Answer--

The second one, fourth, and fifth.

--Explanation--

1. - 6.283...

2. 7.142...

3. 6.928...

4. 7.483...

5. 7.874...

The product of 5 and y is equal to 45.
need help

Answers

Answer:

y is -4.55

Step-by-step explanation:

Answer:

9 would be the correct solution to this question?

Construct a 135° Angle
Now, provide the step - by - step instructions that you devised to create your own construction.

*WILL GIVE BRAINLIEST*

Answers

Answer: This would be how I would do it, so the answer might vary from what the teacher wants.

A 135 degree angle is a 90 degree plus 45 degree. So I would first draw a straight line, then divide the line into two 90 degree angles with a perpendicular bisector. Then I would draw a line dividing one of those 90 degree angles into two 45 degree angles. Now I would erase the middle line and now you have a 135 degree angle hint 90 + 45.

Step-by-step explanation:

Answer:

Step-by-step explanation:

90 ° + 45° = 135°

Which sequence is arithmetic? A- 2,6,18,54... B- 3,6,12,24... C- 11,14,17,20... D- 7,11,13,18

Answers

I think B. 3,6,12,24 is the answer

Answer:

C

Step-by-step explanation:

the pattern is add 3

11 + 3 = 14

14 + 3 = 17

17 + 3 = 20

20x + 8y= 500 solve for x and y

Answers

5x+2y-125=0…………………………

Determine the value of c that makes the function f(x y) = c/x-y/ a joint discrete probability density function for x=2,0,2 and y=-2,3

Answers

Given:  The given function is

[tex]f(x,y)=c(x-y)[/tex]

To find: Here we need to find the value of c for which f(x,y) will be a joint

discrete probability density function.

Solution:

Now, to find c we have,

[tex]\int\limits^3_{-2} \,\int\limits^2_0 {f(x,y)} \, dx dy\\=\int\limits^3_{-2} \,\int\limits^2_0 {c(x-y)} \, dx dy\\\\=\int\limits^3_{-2} \,[2c-2cy]dy\\=10c-5c\\=5c\\The integral should be1.\\So, 5c=1\\[/tex]

∴[tex]c=\frac{1}{5}[/tex]

Therefore, the required value of c is 1/5.

Write an equation in slope-intercept form for the line with slope 5 and y-intercept -2.

Answers

Answer:

y = 5x - 2

Step-by-step explanation:

use the diagram to find the value of x​

Answers

Answer:

4

Step-by-step explanation:

18x = 12(x+2)

18x = 12x+24

18x-12x = 24

6x = 24

x = 4

please answer fast pls .................​

Answers

Answer:

A

Step-by-step explanation:

Kunal      Sagar

12              10         -6 years before is 6:5

18             16          -Now

22            20         - 4 years in the future at 11:10

So it all works out :)

Help please I keep missing the middle one

Answers

W= 15, like it says. So now you fill in the equation for Tuesday. 1/3 of 15 is 5. Then you add Monday and Tuesday, which is 9. Then you subtract that from 24, which is 15.

Answer:

4 + (1/3)w + w = 24

subtract 4 from both sides

(1/3)w + w = 20

multiply both sides by 3 to clear the fraction

w + 3w = 60

4w = 60

Divide both sides by 4

w = 15

pls help i will give brainliest

Answers

Answer:

XOC = 60

Step-by-step explanation:

AOC = DOB because they are vertical angles

AOX+XOC = 25+45

10+XOC = 70

XOC = 70-10

XOC = 60

Help me which one is correct?

Answers

Answer:

here is the answer bae. Feel free to ask for more

Answer: -m3+m2

Step-by-step explanation: 2m2-[m2(7m-)]6m2

2m2-7m2-m3+6m2

-m3+m2

HELP PLEASE!! HURRY!!!! NO SPAM!!!!!! Identify the solution set of the inequality 4|f + 6| ≤ −16 and the graph that represents it.

Answers

Answer: f=3

Step-by-step explanation:

The intervals means that angle f is between the quadrant 1.

where x+y=90

Is [tex]18x^6+5y^6[/tex] prime polynomial why or why not
No files

Answers

Answer:

yes

Step-by-step explanation:

[tex]18x^6 + 5y^6 \ cannot\ be \ factorized \ further. \\\\So \ it \ is \ a \ prime\ polynomial.[/tex]

NO WRONG ANSWER PLEASE PO
[tex] |? \times \fracwarning [/tex]
ok no no no wrong wrong answer​

Answers

Answer:2. okra

Step-by-step explanation:

Answer 2 okra
Try it it is right

if a = 8 + 3 root 7 and b = 1/a find a^2+b^2​

Answers

Answer:

317.49508~317.50

Step-by-step explanation:

a=15.937253933193771

b=7.9686269665968858

a²+b²=(15.937253933193771)²+(7.9686269665968858)²

=(253.99606)+(63.49902)

=317.49508

The graph of g(x) is a reflection and translation of f (x) = RootIndex 3 StartRoot x EndRoot.

On a coordinate plane, a cube root function goes through (0, 1), has an inflection point at (1, 0), and goes through (2, negative 1).

Which equation represents g(x)?

g (x) = RootIndex 3 StartRoot x + 1 EndRoot
g (x) = RootIndex 3 StartRoot x minus 1 EndRoot
g (x) = Negative RootIndex 3 StartRoot x + 1 EndRoot
g (x) = Negative RootIndex 3 StartRoot x minus 1 EndRoot

Answers

Transformation involves changing the form of a function.

The equation that represents g(x) is (c) [tex]g(x) =-\sqrt[3]{x+1}[/tex]

Function f(x) is given as:

[tex]f(x) =\sqrt[3]{x}[/tex]

First f(x) is reflected across the x-axis.

The rule of this transformation (i.e. reflection) is:

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]f'(x) = -f(x)[/tex]

This gives

[tex]f'(x) =-\sqrt[3]{x}[/tex]

Next, f'(x) is translated 1 unit left

The rule of this transformation (i.e. translation) is:

[tex](x,y) \to (x+1,y)[/tex]

So, we have:

[tex]g(x) = f'(x+1)[/tex]

This gives

[tex]g(x) =-\sqrt[3]{x+1}[/tex]

Hence, the equation that represents g(x) is (c)

Read more about transformation at:

https://brainly.com/question/12619643

Answer:

Its D

Step-by-step explanation:

just did the quiz

Need help with this ASAP! THANKS

Answers

For my work I got

A I hope it’s not wrong

please help me out here. I know the answer but I don't know what the radical is​

Answers

Answer:

9

Step-by-step explanation:

There is no radical it's just 9

need help with this Q&A

Answers

Answer:

the second option

y = (-1/2)x + 11

Step-by-step explanation:

x = 2

y = (-1/2)×2 + 11 = -1 + 11 = 10

the same as the table.

x = 4

y = (-1/2)×4 + 11 = -2 + 11 = 9

the same as the table.

x = 6

y = -3 + 11 = 8

the same as the table.

x = 8

y = -4 + 11 = 7

the same as the table.

state what region A represents.​

Answers

Answer:

Region A represents the solution to the system of inequalities.

PLEASE HELP: Click on the graph to choose the correct answer to the equation.


y > 2

(Choose one of the graphs from the image as the answer)

Answers

Answer:

The 8th graph.

Step-by-step explanation:

It has a horizontal line over two which indicates that the y axis is known and over 2.

The required graph of the given inequality y > 2 is shown in the attached file, which is the correct answer that would be an option (H).

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We have been the given  inequality y > 2

Plot the "y=" line (a solid line for y or y, and a dashed line for y or y>). The shade above the line for a "greater than" (y> or y), or below the line for a "less than" (y or y).

It has a horizontal line over two which represents that the y-axis is known and over 2 in the attached graph.

Therefore, the required graph of the given inequality y > 2 is shown in the attached file.

Hence, the correct answer would be option (H).

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

Point CC is located at (4,3)(4,3) on the coordinate plane. Point CC is reflected over the xx-axis to create point C'C ′ . Point C'C ′ is then reflected over the yy-axis to create point C''C ′′ . What ordered pair describes the location of C''?C ′′ ?

Answers

Answer:

[tex]C" = (-4,-3)[/tex]

Step-by-step explanation:

Given

[tex]C = (4,3)[/tex]

Required

The coordinates of C"

From the question, we understand that:

C is reflected over x-axis to give C'

The rule to this is:

[tex]C(x,y) \to C'(x,-y)[/tex]

So, we have:

[tex]C(4,3) \to C'(4,-3)[/tex]

Next, C' is reflected over y-axis to give C''

The rule to this is:

[tex]C'(x,y) \to C"(-x,y)[/tex]

So, we have:

[tex]C'(4,-3) \to C"(-4,-3)[/tex]

please help me out in this account question I have exams tomorrow I have linked the question here ​

Answers

Answer: 70,900 Rs

Step-by-step explanation:

  8400

  8000

  2000

 10000

 40000

   3000

+     500

  71900

-    1000

   70900

= 70,900 Rs

Mrs. Jeffers bought 3 ¼kg of caramels and 2½ of chocolate. How many kilograms of candy did she buy altogether?​

Answers

the answer is: 5 and 3/4 kilogram

A scientist is growing two species of bacteria. She defines a variable t that represents the number of days after the growth begins. The number of bacteria after t days is defined by: Species A: y=1000∙2^(t/3)
Species B: y=1000∙2^3t
(a) how many bacteria does each species start out with?

Answers

i want to know the answer

Number of bacteria each species start out with for the given exponential growth function is equals to 1000.

What is exponential growth function?

" Exponential growth function is defined as the the process of the increment in the initial quantity over the period of time 't'."

Formula defined

Exponential model

[tex]y =y_{0} e^{kt}[/tex]

[tex]y =[/tex]growth in the quantity

[tex]y_{0}[/tex] = initial quantity

[tex]k=[/tex] exponential growth

[tex]t=[/tex] time taken to grow

According to the question,

Given exponential function,

For Species A :  [tex]y=1000 (2^{\frac{t}{3} } )[/tex]

For Species B :  [tex]y=1000 (2^{3t} )[/tex]

't' represents the number of days after the growth begins

a. For the given condition of the exponential growth function ,

t = 0 when species start out with

For species A

   [tex]y=1000 (2^{\frac{0}{3} } )[/tex]

⇒ [tex]y=1000[/tex]

For species B

   [tex]y=1000 (2^{3(0) } )[/tex]

⇒ [tex]y=1000[/tex]

Hence, number of bacteria each species start out with for the given exponential growth function is equals to 1000.

Learn more about exponential growth function here

https://brainly.com/question/11487261

#SPJ2

The mean absolute deviations for two sets of data are shown. The data points in Set 1 are more the mean than the points in Set 2 because the mean absolute deviation is .

Answers

Answer:

The data points in Set 1 are more spread out than the points in Set 2 because the mean absolute deviation of set 1 is larger.

Step-by-step explanation:

Given

Mean absolute deviations of set 1 and 2

Required

Complete the gap

From the complete question, we have that:

set 1 has a larger mean absolute deviation than set 2

This means that:

The dataset of set 1 is more spread out than that of set 2

The reason for this is that:

set 1 has a larger mean absolute deviation

Other Questions
who were known as the abolitionists PLEASE HELP!!!What are spring tides?O A. High tides that occur on the side of Earth nearest to the moonO B. Tides that occur during a new moon and a full moon and whichare stronger than averageO C. Tides that occur during a new moon and a full moon and whichare weaker than averageO D. Low tides that occur on the side of Earth farthest from the moon which word from Li-Young Lee's "From Blossoms" has the most negative connotation? what represents the amount of data that travels along a network What is the wavelength in metres of a radio wave having frequency of 92.1MHz 10.You are standing on a sheet of ice that covers the football stadium parking lot in Buffalo; there isnegligible friction between your feet and the ice. A friend throws you a 0.4 kg ball that is travelinghorizontally at 10 m/s. Your mass is 70 kg. If you catch the ball, with what speed do you and the ballmove afterwards?1.02 m/s0.06 m/s0.02 m/s0.12 m/s The overall long-term effects of air pollution are not yet certain.True False A 10,000J battery is depleted in 2h. What power consumption is this? *A) 5000WB) 3WC) 1.4WD) 20000Wshow your work please which of the following occurs when a person doesn't give up his or her cute cultural identity but does add another cultural layer? A rectangular cube of volume 8000cm3 has length= 4x width = 2xHeight= 1xFind it's length, width and height. Why is Mali a powerful kingdom Direction: Share an experience/ make a reaction of any sports event happened in your barangay (before the pandemic) run by the Sangguniang Kabataan. Dr. Dowell says that we need to be prepared for a pandemic. He thinks every nation should have an emergency plan. More medications like Tamiflu should be available. He thinks rich countries like the U.S. should help poor countries pay for medicine and health care. Why does the author most likely include this information at the end of the text instead of at the beginning help me please only if you really know Use the following information to prepare the September cash budget for PTO Co. The following information relates to expected cash receipts and cash payments for the month ended September 30. Beginning cash balance, September 1, $43,000. Budgeted cash receipts from sales in September, $256,000. Raw materials are purchased on account. Purchase amounts are August (actual), $80,000, and September (budgeted), $109,000. Payments for direct materials are made as follows: 65% in the month of purchase and 35% in the month following purchase. Budgeted cash payments for direct labor in September, $33,000. Budgeted depreciation expense for September, $3,900. Other cash expenses budgeted for September, $55,000. Accrued income taxes payable in September, $10,100. Bank loan interest payable in September, $1,800. Question 10 :In a word processor, you can use the Word Count function to:This task contains the radio buttons and checkboxes for options. The shortcut keys to perform this task are A to H and alt 1 to alt 9. A count the number of images and animations in a document. B count the number of index entries in a document. C count the number of lines and paragraphs in a document. D count the number of primary and secondary headers in a document. The music is very important because ? Which of the following is NOT true about Romeo in Act V of Romeoand Juliet?A. He did not know he was fighting Paris until after he killed him.OB. He did not know that the poison would kill him so quickly.C. He grees to lay Paris's body next to Juliet.D. He does not tell Balthazar he plans to kill himself. What is the scale factor of AXYZ to AUVW?Yes You are a venture capitalist that is asked to invest in a startup company that claims it will be able to launch tiny "micro space probes" into space at close to the speed of light using a massive electromagnetic rail gun system2. You are cynical about their cost estimates and decide to analyze the problem in more detail before you invest in their company. Neglect air resistance for this worksheet.1. A typical payload they claim to launch will weigh 1 kilogram and be accelerated to 90% the speed of light. How much electrical energy will the rail gun require to launch the probe, assuming it is 20% efficient at converting electrical energy to projectile kinetic energy?2. Given that typical electrical costs are about 5 cents/MJ, how much would this launch cost? Would you invest in this company?43. You are also concerned about safety. What happens if this projectile were to hit an airplane that is flying overhead and dissipate all of its kinetic energy in the collision? To give you a sense of scale, a large nuclear explosion generates about 1015 J of energy.4. The system must be able to launch probes to all parts in the sky and must be transportable on a ship. Assume that the railgun is mounted on a frigate-class navy ship (weight = 4,000 metric tons).a. Will the recoil momentum of the ship be relativistic? Justify your argument.b. At what speed will the ship recoil after it launches a probe? Do you think that this is a problem for the ship?