Use the Law of Cosines to find the values of x°and y°. Round to the nearest tenth.

Use The Law Of Cosines To Find The Values Of Xand Y. Round To The Nearest Tenth.

Answers

Answer 1

The value of x and y° are 29.1 and  76.6°.

What is rounding to tenth?

Look at the hundredth number to round the decimal number to the nearest tenth. If it's more than 5, add one to the tenth value. Remove all the numbers that are present after the tenth place and leave the tenth place value alone if it is less than 5.

The length of sides of the triangle are x, 35, and 40.

Assume that AB = c = x, BC = a = 35, and AC = b = 40

m∠C = 45° and m∠B = y°.

Cosine law:

c² = a² + b² - 2ab cos C  ....(i)

b² = a² + c² - 2ac cos B  ....(ii)

a² = b² + c² - 2bc cos A  ....(iii)

Putting a = 35, b = 40, c = x, and C = 45° in law (i)

x² = 35² + 40² - 2×35×40 cos 45°

x² = 2825 - 2800 × (1/√2)

x = 29.07

x = 29.1  (nearest tenth)

Putting a = 35, b = 40, c = 29.1, and B = y° in law (ii)

40² = 35² + 29.1² - 2×35×29.1 cos y

1600 = 1225 + 846.81 - 2037 cos y

2037 cos y = 471.81

cos y = 471.81/2037

y = 76.60°

y = 76.6°

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Related Questions

16.BONUS:
A lamp produced a shadow of a man standing in the middle of a stage.
21° 19°
25 meters
How long is the shadow?
;

Answers

Answer: 11.38

Step-by-step explanation:

I just did this math nation question and that’s what they said the answer was

The solution is, Length of the shadow = 11.4 m.

What are trigonometric relations?

Trigonometry can be stated as the study of the relationships between the angles and the lengths of the sides of triangles.

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

here, we have,

Given the graph:

The length of the shadow = y - x.

• To find x:

tan 21 = x/25

so, we get,

x = 25 * tan 21

  =9.6m

• To find y:

tan 40 = y/25

so, we get,

y = 25* tan40

  = 21m

Length of the shadow:

length = 21 - 9.6 m

           = 11.4m

so, we get,

Length of the shadow = 11.4 m

To learn more about trigonometric relations click :

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Identify three pythagorean triples using the known triple 8, 15, 17. What does this mean?​

Answers

Answer:

yes

Step-by-step explanation:

8² + 15² = 17²

64 + 225 = 289

289 = 289

11. Which could be the table of values that was used to graph the function of x shown below?

Answers

Answer:

D

Step-by-step explanation:

Here, we want to select the possible table of the given line

Let us look at the intercepts

On the x-axis, we have an intercept at x = 2

On the y-axis, we have an intercept at y = -4

This means that when y = 0, x = 2 and when x = 0, y = -4

Looking at the options, the table that supports this answer is the table of option D

Hey guys!
Please help me out with these questions. Tmrw I have an exam... Will mark BRAINILIEST for the answer explaining proper steps. If I sound rude, please forgive me, I'm just stressed out.....

Thanks ​

Answers

Answer:

Step-by-step explanation:

Solve the equation using Order of Operations. (It's in the picture)
A) 87
B) 101
C) 68
D) 99

I am not allowed to use a calculator, by the way.

Answers

Step-by-step explanation:

(38+45)+9*2+3-59+((4/2)*3+8*5)=

83+18+3-59+(6+40)=

83+18+3-59+(6+40)=

83+18+3-59+46=

(83+18+3+46)-59=

150-59=91

I'm not sure if this is correct but it should be. Is it 4/2*3 or (4/2)³?If it is (4/2)³ the result would be 93.

The three townships of Springfield, Wyandot, and
Johnsonville form an equilateral triangle as shown
below. Write and solve an equation to determine the
value of x.
Wyandot
(62) mi
18.6 mi
Johnsonville
Springfield
X=

Answers

Answer:

x=23 miles

Step-by-step explanation:

heart if it helped

Answer:

X=23jkhhhhjhggguhhgyfv

which is greater ? | -5| or 4

Answers

Answer:

4

Step-by-step explanation:

Answer:

|-5|

Step-by-step explanation:

|-5| = 5

5 > 4

|-5| > 4

A set of cards is numbered 1,2,3,4,5,6,7,8,9,10,11,12. Suppose you pick a card at random without looking. Find the probability of each event. Write as a fraction in simplest form for each questions.

P(3) =

P(a number that starts with the letter T) =

P(odd number) =

P(multiple of 4) =

P(3 or 5) =

P(13) =

Answers

Answer:

3= 1/12

a number with the letter T= 1/3

odd number= 1/2

multiple of 4= 1/6

3 or 5= 1/6

13= 0

Answer:

p(3)=1/3

p(a number that starts with the letter T)=1/3

p(odd number)=1/2

p(multiple of 4)=1/4

p(3 or 5)=1/6

p(13)=0

A student used f ( x ) = 5.00(1.012) x to show how the balance in a savings account will increase over time. What does the 5.00 represent?
A: The annual interest rate of the savings account
B: The interest the savings account earned for the first year
C: The starting balance of the savings account
D: The number of years the savings account has earned interest

Answers

Answer:

A student used f(x) = 5.00(1.012)* to show how the balance in a savings ... A student used f(x) = 5.00(1.012)* to show how the balance in a savings increase over time. What does the 5.00 represent? A The interest the savings account earned for the first year. B ... kamyawright is waiting for your help.

Step-by-step explanation:

someone please help with this math question! ill give brainly if its correct

Answers

Answer:

x = 50, y = 61

Step-by-step explanation:

y + 8 + 2x + 11 = 180°

y + 2x = 161°

the total of the interior angles of the 5 sided polygon is:

(180 x 5) - 360 = 540°

540 = 98 + 98 + 125 + 108 + 2x + 11

2x = 100

x = 50°

y + 2(50) = 161

y = 61°

HELP

Can some one help me with these 4 problems, I need to find the area, and con you pls explain how you got the answer so I can understand and practice.

Answers

Answer:

1. 380.13

2. 254.47

3. 254.47

4. 153.94

Step-by-step explanation:

Since its a hassle to explain how to solve all 4 problems I'll explain how to solve one of them

For example #1

To solve this:

Use formula A=πr2

Input the radius into the equation

A=π·11²

Multiply all the values

A= 380.13

Lin and Noah are solving the equation `7(x+2)=91`. Lin starts by using the distributive property. Noah starts by dividing each side by 7. Show what Lin's and Noah's full solution methods might look like.

HELPPP

Answers

Answer:

Step-by-step explanation:

Lin’s method

- multiply both x and 2 by  7

7x+14 = 91

- add -14 at both members

7x+14-14 = 91-14

7x = 77

- divide the two members by 7

x = 11

Noah’s method

- divide the two members by 7

x+2 = 13

- add -2 at both members

x+2-2 = 13-2

x = 11

Answer:

The solution is x=11

Step-by-step explanation:

The original equation is

7(x+2)=91

Lin uses the distributive property, which states that

a (x+y) = ax + ay

By applying the property to this case,

7(x+2)=91

7x+14=91

Then we subtract  14 on both sides:

7x+14 - 14 = 91-14

7x=77

Finally, we divide by 7 on both sides:

7x÷7 = 77÷7

x=11

Noah starts by dividing each side by 7, so he gets:

7(x+2)÷7 = 91÷7

x+2= 13

Then he can subtract +2 from both sides:

x+2-2 =13 - 2

x=11

So, they get the same result. The similarity between the two methods is that  they both divide by 7, while the difference is that Lin has to subtract 14, while Noah has to subtract 2.

Solve for for n. 10(n+4) = 63

Answers

Answer:

n=23/10

Step-by-step explanation:

10(n+4)=63

n+4=63/10

n=63/10-4

n=23/10

decimal form: 2.3

Which expression is equivalent to -4(2k - 6) - 4k

Answers

Answer:

Factor and Simplfy

12k+24

Answer:

-12k+24

Step-by-step explanation:

-4(2k-6)-4k

do distributive property

-8k+24-4k

simplify

-12k+24

I think this is what the question is asking

in Joe's fish tank, there are 6 goldfish and 12 snails. How does the ratio 6:18 describe Joe's fish
tank?

Answers

Hey there!

The ratio 6:18 describes Joe's fish tank, certainly. But how?

Note that this ratio can be written as 6 to 18, 6/18, and 6 out of 18.

This ratio can show this: For every 6 goldfish in Joe's tank, there are 12 snails.

Great question!

Hope I helped, please feel free to comment below should you have any questions/comments/concerns!

The correct option is C.

Given that,

in Joe's fish tank, there are 6 goldfish and 12 snails.

Here 6:18 denotes that the number of goldfish to the total no of animals.

Here total no of animals could be

= 6 + 12

= 18

Learn more: brainly.com/question/17429689

The Thompson Family has a garden in their backyard. They take the produce each week to a local farmers market. Use the graph to answer question. What percent of the garden is tomatoes? Show work for full credit.

Answers

Answer: 20%

Step-by-step explanation:

The total # of plants is 30, so what you do is take the # of tomatoes over 30. (6/30) and then x/100 so the formula would be 6/30=x/100. Then you would cross multiply and solve! so your answer is 20%

x^2+2x=4 Can someone help me complete the square I forgot how to do it. pls show steps​

Answers

Answer:

First of all , you need to make the standard form of equation out of datas . In order to do that transfer (4) to the left side of equation and put 0 instead of it .

The next levels are shown in the above pics , sorry i coulden't write them here .

Step-by-step explanation:

Hope it was helpful dear .

need some help rq....

Answers

Answer:

work will be explained in the explanation portion

1. x = 3

2. y = 5

3. x = 13

4. y = 2

5. c = 7

6. a = 34

7. unsure but -5/12

8. 16

Step-by-step explanation:

1. 11 - 8 = 3

2. 16 + 9 = 25      5 x 5 = 25

3. 9 + 4 = 13

4. 10 - 4 = 6          3 x 2 = 6

5. 45 - 3 = 42       6 x 7 = 42

6. 23 + 11 = 34

7. 2/3 = 8/12          1/4 = 3/12            8/12 - 3/12 = 5/12

8. 14 divided by 7/8 = 16 (use keep change flip)

HOPE THIS HELPS!! <33

Answer:

1.x=3

2.y=5

3.x=13

4.y=2

5.c=7

6.a=34

7.y=-5/12

8.w=16

Step-by-step explanation:

x+8=11

x=11-8

x=3

5y-9=16

5y=16+9

5y=25

y=25/5

y=5

x-4=9

x=9+4

x=13

3y+4=10

3y=10-4

3y=6

y=6/3

y=2

6c+3=45

6c=45-3

6c=42

c=42/6

c=7

11-a=-23

-a=-23-11

-a=-34

a=34

2/3+y=1/4

y=1/4-2/3

y=-5/12

7/8w=14

7w/8=14

7w=14×8

7w=112

w=112/7

w=16

The line plot below shows data on the total number of hours that each volunteer spent at a nature center one week. Which question cannot be answered using the data in the graph

Answers

Answer:

How many volunteers worked a total of 4 hours

Step-by-step explanation:

Its right i got a one hundred my test

Answer:

How many volunteers worked at a total of 4 hours?

Step-by-step explanation:

Maria and Juan are married, filing jointly. Their taxable income is $154,849. Use the table below to write an equation to determine their tax. Then calculate their tax.

Answers

Answer:

The right answer is "$31,399.75".

Step-by-step explanation:

The given value is:

Taxable income,

= $154,849

According to the question,

The tax amount will be:

=  [tex]8,962.50 + (154,849 - 65,100)\times 25 \ percent[/tex]

=  [tex]8,962.50+(89,749)\times 25 \ percent[/tex]

=  [tex]8,962.50+22,437.25[/tex]

=  [tex]31,399.75[/tex] ($)

Help me with 8,9,10 please I really need help with this!!! Just real answers please

Answers

Answer:

The measure of side CD is 18cm

The measure of side BD is 15+15= 30cm

The perimeter of triangle CDE is 15+15+18 = 48cm

The value of y varies directly with x. If x=4, then y=10. a. Find the constant of proportionality. b. Write an equation to represent the situation.

Answers

Answer:

aaaa

Step-by-step explanation:

In a short paragraph, describe how you would determine the amount of work needed to pull a toboggan the length of a football field. Be sure to include the equipment list and describe the measurements that you will take.

\large f\left(x\right)=2\left(x+5\right)^2-7

Answers

Which word could you use to describe the author's purpose in an argument?

Convince

Describe

Entertain

Inform

I NEED HELP WITH MY MATH NOWWW PLSSS HELP ME

Answers

Answer:

no

Step-by-step explanation:

she still has to multiply by two because there are 2 each of the rectangles that she is calculating the area of. the correct formula would be 2(8*16+8*12+16*12)

Answer:

No.

Step-by-step explanation:

The surface area formula of a right rectangular prism is 2(wl * hl * hw). The height is 12, width is 8, and length is 16. (these sides don't matter, the area will always be 832.) Anyway, our dear Muna did all the steps right, except she has to multiply all that she did by 2. She forgot to do that part

Solve for x

x^2 + x - 6 = 0

Answers

Answer:

X = 2 and -3

Step-by-step explanation:

I  hope this helps :)

14. Which numbers below are rational numbers?
2
-3.45
0.8989
All of the above

Answers

Answer:

All of them.

Step-by-step explanation:

They can all be written as a fraction a/b.

Please help me it’s due soon!!

Answers

Answer:

12√2

Step-by-step explanation:

It's 12√2 because the hypotenuse of the triangle is 12. that means for a^2 + b^2 = c^2, we get c^2 = 144. a and b are equal so the answer is 6√2.

Also, don't any links you see on this site, they are hackers

‼️ PLEASE HELPPPPP ‼️

Answers

the radius should be 4.51

I need the answer please

Answers

Answer:

Parallel

Step-by-step explanation:

Because it is

Solve 3x2−3x=0 by factoring.

Answers

Answer:

3x(x-1) = 0

x= 1

Step-by-step explanation:

is 3x2 supposed to mean 3x^2 i dont know

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