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 48.5° and  38.6°.

What is the cosine law?

The square of the length of any one side of a triangle is equal, by the cosine rule, to the total of the squares of the lengths of the other two sides, multiplied by the cosine of the angle they are a part of.

The length of sides of the triangle are 10, 12, and 16.

Assume that AB = c = 10, BC = a = 16, and AC = b = 12

m∠B = x° and m∠C = 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 = 16, b = 12, c = 10, and C = y° in law (i)

10² = 16² + 12² - 2×16×12 cos y

100 = 256 + 144 - 384 cos y

384 cos y = 300

cos y = 300/384

y = 38.6°

Putting a = 16, b = 12, c = 10, and B = x° in law (ii)

12² = 16² + 10² - 2×16×10 cos x

144 = 256 + 100 - 320 cos x

320 cos x = 212

cos x = 212/320

x =48.5°

To learn more about cosine law, click on below link:

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Related Questions

find the volume of an oblique cylinder with a base diameter of 18 meters and a height of 40 meters. use 3.14 for pi and round to the nearest hundredth.

Answers

Answer:

10178.7602

Step-by-step explanation:

Volume of cylinder= π·r^2·h = π·9^2·40 ≈ 10178.7602

if 18 is the diameter than 9 would be the radius. to make the formula easier.

what is the equation of this graph?

a) x=-7
b) y=-7

Answers

Since it’s vertical it would be x=-7

During a sale, an appliance that costs $275 is being sold at a discount for $220. Which equation can be used to find the rate of the discount, d, during the sale?

Answers

your mom lol iwjdvdhaikabdbkos

whats is 2x2 given brainlest

Answers

Answer:

4

Step-by-step explanation:

4 :v
................

What is the correct factorization of
x2 - 11x + 18?

Answers

Answer:

(x-2)*(x-9)

Step-by-step explanation:

hope this helps!!

16 = 4a + 8

A = ___?

This a test please help me

Answers

the answer :: A = 4
2 because why not huh? if you wanna fight lmk xo xo please like this cuh i need points

b)
(-32)+(+17)+(+32)​

Answers

it’s 17

have a wonderful day

Answer:

17

Step-by-step explanation:

-32 and 32 get cancel

and the answer is 17

Find the values of x and y. Write your answers in simplest form.

Answers

Answer:

y=7

Step-by-step explanation:

x=3

how do I find the area of this shape. Please help I need to turn this in today

Answers

Answer:

A = 70 units²

Step-by-step explanation:

Since all 4 sides are congruent then figure is a rhombus

The area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ( d₁ and d₂ are the diagonals )

Here d₁ = 7 + 7 = 14 and d₂ = 5 + 5 = 10 , then

A = [tex]\frac{1}{2}[/tex] × 14 × 10 = 7 × 10 = 70 units²

Find the angle of the sector given the radius and the area of the sector.
Radius = 12 ft
Area of sector is 339.3 ft2

Answers

Answer:

270 degrees

Step-by-step explanation:

[tex]Area \: of \: the \: sector \\ \\ = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ 339.3 = \frac{ \theta}{360 \degree} \times 3.14 {(12)}^{2} \\ \\ 339.3 = \frac{ \theta}{360 \degree} \times 3.14 \times 144 \\ \\ \theta = \frac{339.3 \times 360 \degree}{3.14 \times 144} \\ \\ \theta = \frac{122,148\degree}{452.16} \\ \\ \theta= 270.143312 \degree \\ \\ \theta \approx \: 270\degree[/tex]

What is the median of the data set?

32, 37, 38, 40, 50, 52, 55, 57

A. 23

B. 40

C. 57

D. 45

Answers

Answer:

D. 45

Step-by-step explanation:

(40+50)/2 = 45

sadly my answer has deleted here

Find the length x to the nearest whole number.
430
|
502
29°
X
(Round to the nearest whole number as needed.)

Answers

Answer:

x = 557 to the nearest whole number

Step-by-step explanation:

The triangle is divided into two right triangles

Using the SOH CAH TOA identity

tan theta = opp/adj

tan 29 = (x/2)/502

x/2 = 502 tan 29'

x/2 = 278.26

x = 278.26 * 2

x = 556.52

x = 557 to the nearest whole number

At a school. Number of boys:number of girls=11:9. There are 124 more boys than girl. Work out the total number of students at the school

Answers

Answer:

Total students = 1240

Step-by-step explanation:

Given that,

Number of boys: number of girls=11:9

[tex]\dfrac{x}{y}=\dfrac{11}{9}\\\\9x=11y[/tex] ......(1)

There are 124 more boys than girls i.e.

x = 124+y .....(2)

Put the value of x from equation (2) in equation (1). So,

9(124+y) = 11y

1116 +9y = 11y

1116 = 2y

y = 558

Put the value of y in equation (2).

x = 124+558

x = 682

Total students = x+y

= 682+558

= 1240

So, there are 1240 students at the school.

can somebody help me get both answers pls? ALSO PLEASE PLEASE DONT SEND YOUR LINKS

Answers

Answer:

x=30

m<G

3(30)-17

73

m<H

x+13

43

Step-by-step explanation:

Answer:

m∠G = 73°

m∠H = 43°

Step-by-step explanation:

Use the exterior angle theorem. The exterior angle theorem states that the exterior angle's measurement will be the sum of the two opposite interior angles. Set the equation:

(3x - 17) + (x + 13) = 116

First, combine like terms by simplifying:

3x + x - 17 + 13 = 116

4x - 4 = 116

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, add 4 to both sides of the equation:

4x - 4 = 116

4x - 4 (+4) = 116 (+4)

4x = 116 + 4

4x = 120

Next, divide 4 from both sides of the equation:

(4x)/4 = (120)/4

x = 120/4

x = 30

Plug in 30 for x for each angle measurement:

m∠G = 3x - 17

m∠G = 3(30)  -17

m∠G = 90 - 17

m∠G = 73°

m∠H = x + 13

m∠H = 30 + 13

m∠H = 43°

Check:

180 - 73 - 43 = 64 (Summation of a triangle's angle).

180 - 64 = 116 (Theorem of line).

8 m
10 m
What is the area of the triangle?*

Answers

Answer:

Step-by-step explanation:

Area = 1/2 (base)  (height)           I don't know what the numbers provided

                                                     represent in this problem.  They colud be

                                                     the base and height or they could be two

                                                     of the three sides.

Please help me with 1,2,3,4,5,6 please

Answers

Answer:

all of these are right angled triangle. so u can use pythagoras theorem, h²=p²+b²

longest side is called hypotenious (h)

and u can assume any of the remaining side as p and b as your choice

eg=

1) h=13

p=12

b=?

using pythagrous theroem

h²=p²+b²

13²=12²+b²

169= 144+b²

169-144=b²

25=b²

25 is the square root of 5 so

5²=b²

square root of each side will be cancelled so

b = 5

In this way u can solve your questione.....

Answer:

1.

[tex] {h}^{2} = {p }^{2} + {b}^{2} [/tex]

[tex] {13}^{2} \: = {12}^{2} + {b}^{2} [/tex]

[tex] {b}^{2} = {13}^{2} - {12}^{2} [/tex]

[tex] {b }^{2} = 169 - 144[/tex]

[tex] {b}^{2} = 25/tex]

[tex]b = \sqrt{25} [/tex]

[tex]b = 5[/tex]

hope this helps you all of your question's is base on the formula given above

mark me as brainliest pls

Please make original sentences with the words

-wallop
-diametrically
-luminous

Answers

Answer:

-"My step-dad's punch packs a wallop!"

-"The stars shining in the night sky were luminous."

-"The two diametrically opposed viewpoints of ketchup and mustard have been on war for decades."

Answer:

wallop:

daneil crashed on the floor with a wallop

diametrically:

"I regret to say we're diametrically opposed to your ideas", Jessica said to john

luminous:

i have a luminous clock in my room

Step-by-step explanation:

What is BC?
Pleaseee help I have no idea what I’m doing!!

Answers

Answer:

U GOT TO KNOW THE ANGLE

Step-by-step explanation:

Answer:

BC= 35

Step-by-step explanation:

trigonometry is used as its a right angle triangle, use the formula : a² + b² = c²

Both plant and animal cells have vacuoles, which is a large sac that holds food, water and waste. True True False

Answers

Answer:

True. It is true.

Answer:

True

Step-by-step explanation:

They both have vacuoles but the vacuoles are much larger in plant cells than animal cells.

In golf, each hole has a score called par, which is the
number of strokes a good golfer should take to get the
ball in the hole. Scores that are under par are repre-
sented by a negative number. The table shows the golf
scores from team members in a golf tournament. If the
team's total score is -32, what is Curran's score?

Rose -9
Garcia -15
Curran ?

Answers

Answer:

-8

Step-by-step explanation:

Let r, g and c be the scores of, respectively, Rose, Garcia and Curran.

We know that

[tex]r + g + c = - 32 \\ r = - 9 \\ g = - 15[/tex]

Thus

[tex] - 9 - 15 + c = - 32 \\ - 24 + c = - 32 \\ c = - 8[/tex]

A cheese pizza cost $5. Additional toppings cost $1.50 each. Write an equation in two variables that represents the cost of the pizza.

Answers

Answer:

Heres one

c = 5 + 1.5t

Step-by-step explanation:

Let t represent the number of toppings

and c represent the total cost of the pizza

Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.

Answers

Answer:

Surface area = 505cm²

Step-by-step explanation:

Surface area of the triangular prism. = 2B + ph

B is the base area

p is the perimeter of the triangle

h is the height of the triangle

Base area = 1/2 * base * height

Base area = 1/2 * 18 * 40

Base area = 9 * 40

Base area = 360cm²

Perimeter of the triangle = 41 + 41 + 18

Perimeter of the triangle = 100cm

height of the prism = 45cm

Surface area = 360 + 100 + 45

Surface area = 505cm²

When ringing up a customer, a cashier needs 10 seconds to process the payment as well as 5.7 seconds to scan each item being purchased. Write an equation that shows the relationship between the items being purchased, p, and the time, t.

Answers

Answer: 5.7p + 10

Step-by-step explanation:

From the question, we are given the information that when ringing up a customer, the cashier will need 10 seconds to process the payment and 5.7 seconds to scan every item that are purchased.

The equation that shows the relationship between the items being purchased, p, and the time, t will then be:

= 5.7p + 10

Mrs. Morales wrote a test with 15 questions covering spelling and Y vocabulary. Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100. ​

Answers

15=5x+10y should be the answer or 100 to replace the 15 also it can be rearranged in a different way

I need help on this question (^~^;)ゞ​

Answers

Answer:

21) x = 0

23) x = 7

Step-by-step explanation:

In a parallelogram, the opposite sides are congruent. Using this fact, we can create equations for both problems.

21)

[tex]2x + 18 = 18[/tex]

Subtract 18.

[tex]2x = 0[/tex]

Divide by 2.

[tex]x = 0[/tex]

23)

[tex]2x - 3 = 11[/tex]

Add 3.

[tex]2x = 14[/tex]

Divide by 2.

[tex]x = 7[/tex]

PLEASE HELP ASAP PLZ

also plz don’t answer if ur gonna put down random things

THIS IS MY 5TH ATTEMP PLZ NO BOTS

Answers

Answer:

dont listen to person above me . it's a scam

PLEASE HELP ME I'M CLUELESS!!​

Answers

Answer:

352.7 m

Step-by-step explanation:

Distance from the cliff 2000m

Angle = 10°

How tall is the cliff?

We solve the above question using the trigonometric function of Tangent

tan θ = Opposite/Adjacent

Opposite = x

Adjacent = 2000m

θ = 10°

Hence:

tan 10 = x/2000m

Cross Multiply

x = tan 10 × 2000m

x = 352.65396142 m

Approximately = 352.7 m

The cliff is 352.7 m tall

What’s the area of this polygon answer ASAP my teacher died

Answers

Answer:

Break it into 2 sections: 18 by 3 and 6 by 20

area = 54 + 120

= 174 (answer is A.)

Step-by-step explanation:

9514 1404 393

Answer:

  A.  174

Step-by-step explanation:

Use your number sense. The area can be no larger than the rectangle that is 20 high and 9 wide. That rectangle's area is ...

  A = LW = (20)(9) = 180

The only answer choice smaller than 180 is ...

  A.  174 . . . . . square units

__

If you want to compute it exactly, you can make note of the size of the empty space at the upper left corner. That space is 20-18 = 2 units high and 9-6 = 3 units wide. Its area is A = LW = (3)(2) = 6 square units. When that empty space is subtracted from the overall rectangle area, the result is ...

  180 square units - 6 square units = 174 square units.

Can y’all put this from greatest to least?
-0.3
3
-0.9
2.91
-1.01

Answers

3, 2.91, -0.3, -0.9, -1.01,

Find the distance between the two points below.

Answers

Answer:

Hi! The answer to your question is C. 4

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

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