Use the Law of Cosines to find the values of x and y. (PLEASE HELPPP!!!!)

Use The Law Of Cosines To Find The Values Of X And Y. (PLEASE HELPPP!!!!)

Answers

Answer 1

Answer:

[tex]x = 49.8^\circ\\y = 54.6^\circ[/tex]

Step-by-step explanation:

Kindly refer to the image attached in the answer region for labeling of triangle.

AB = 16

BC = 19

AC = 15

[tex]\angle ABC = x^\circ\\\angle ACB = y^\circ[/tex]

We have to find the angles x and y i.e. [tex]\angle B \text{ and }\angle C[/tex].

Formula for cosine rule:

[tex]cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}[/tex]

Where  

a is the side opposite to [tex]\angle A[/tex],

b is the side opposite to [tex]\angle B[/tex]  and

c is the side opposite to [tex]\angle C[/tex].

[tex]\Rightarrow cos x = \dfrac{19^{2}+16^{2}-15^{2}}{2 \times 19 \times 16}\\\Rightarrow cos x = \dfrac{392}{608} \\\Rightarrow x = 49.8^\circ[/tex]

Similarly, for finding the value of y:

[tex]cos C = \dfrac{a^{2}+b^{2}-c^{2}}{2ab}\\\Rightarrow cos y = \dfrac{19^{2}+15^{2}-16^{2}}{2 \times 19 \times 15}\\\Rightarrow cos y = \dfrac{330}{570}\\\Rightarrow y = 54.6^\circ[/tex]

Hence, the values are:

[tex]x = 49.8^\circ\\y = 54.6^\circ[/tex]

Use The Law Of Cosines To Find The Values Of X And Y. (PLEASE HELPPP!!!!)

Related Questions

What is the area of the triangle 4,3,5

Answers

The area is 5

Please mark brainliest :]

Answer:

60

Step-by-step explanation:

first you have to multiply the the base times the height which in this problem its 4 and 3 then you get 12 area sq feet after all that you must multiply the width or 3rd number to get your finale answer that in this case is 60.

Leslie found the volume of a cone having both a height and diameter of 12 inches. Her work is shown below.
(attached)
Analyze Leslie’s work. Is she correct? If not, what was her mistake?
Yes, she is correct.
No, the radius is twice the diameter, so she needed to multiply by two instead of dividing.
No, the value of 62 is 6 times 2, or 12.
No, she forgot to take one-third of the base area times height.

Answers

The answer is D! (I think we have the same curriculum lol)

Answer:

d

Step-by-step explanation:

what is 80=-20b? plz help

Answers

Answer:

b=-4

Step-by-step explanation:

80=-20b

If you divide -20 from both sides, you get -4=b. That's the answer.

PLZ MARK BRAINLIEST!!!

Answer:

-4

Step-by-step explanation:

80= - 20b

divide both by -20

that gives us -4=b

so, b= -4

Have a great day

I need to figure this out TODAY!!!!

Answers

Answer:

Hello, I think your answer is D, Third Move

Step-by-step explanation:

(-2,5) is the answer i hope so
If its correct tell me

A cylinder has a height of 9 cm and a radius of 10 cm. What is the surface area of the
cylinder in terms of r?
380 cm
2007 cm
0342 cm
280 cm
Please HELPPPP

Answers

Answer:

Step-by-step explanation:

CAN SOMEBODY GIVE A QUICK ANSWER

Answers

Answer:

A. 112

Step-by-step explanation:

3x+22+2x+8 = 180

5x+30 = 180

5x = 150

x= 30

3(30)+22 = 112

A rectangle has a height of 2x^4and a width of x^2+8x+15x

Answers

Answer:

2x⁶ + 16x⁵ + 30x⁴

Step-by-step explanation:

area of rectangle with height 2x⁴ and width x²+8x+15

area = height x width

2x⁴( x²+8x+15)

2x⁴( x²) +2x⁴(8x)+ 2x⁴(15)

2x⁴⁺² + 16x⁴⁺¹ + 30x⁴

2x⁶ + 16x⁵ + 30x⁴

the area of the rectangle in polynomial which is in standardised form is 2x⁶ + 16x⁵ + 30x⁴

Find the 96th term of the arithmetic sequence
-3, -14, -25, ...

Answers

Answer:

-1059

Step-by-step explanation:

Katelyn, this is super easy to understand.

Anyways, to find the 96th term of the sequence, first subtract -14 and -3. You may be thinking it is -17, but it is not. -17 is only if you are subtracting -14 and 3.

(-14) - (-3) = -14 + 3 = -11.

That means the difference between each number is -11.

Now all you have to do is take the -11 and multiply it by 96, which is -1056. Then, add the -1056 to -3, which is -1059. That should be your answer.

Your school may have taught you a different way, but this is my way.

Please Help Look at photo for question.

Answers

Answer:

The second answer choice from the top

Step-by-step explanation:

The formula for the circumference of a circle is  [tex]\pi \cdot d[/tex], where d is the diameter of the circle. In this case, this means that the circumference of the circle is [tex]17\cdot 3.14=53.38[/tex], or answer choice B. Hope this helps!

Answer:

C. 53.4cm

Step-by-step explanation:

Circumference= 2 x Pi x radius

53.38 or 53.4= 2 x 3.14 x 8.5

Last summer, 54,849 people went on a vacation. This year it is expected that an additional 9,499 people will take a summer vacation. How many people will be taking a summer vacation in all?

Answers

Answer:64,348

Step-by-step explanation:

please make brainliest

7) The senior classes at High School A and High School B planned separate trips to
Yellowstone National Park. The senior class at High School A rented and filled 2 vans
and 7 buses with 407 students. High School B rented and filled 1 van and 7 buses with
389 students. Every van had the same number of students in it as did the buses. How
many students can a van carry? How many students can a bus carry?

Answers

Answer:

Number of students in each van = 18

Number of students in each bus = 53

Step-by-step explanation:

Given: The senior class at High School A rented and filled 2 vans  and 7 buses with 407 students.

High School B rented and filled 1 van and 7 buses with  389 students.

Also, every van and the van had the same number of students in it.

Solution:

Let x denotes number of students in each van and y denotes number of students in each bus.

According to the given information,

[tex]2x+7y=407\,\,\,(i)\\x+7y=389\,\,\, (ii)[/tex]

From (ii), put [tex]x=389-7y[/tex] in (i)

[tex]2(389-7y)+7y=407[/tex]

[tex]778-14y+7y=407\\778-407=7y\\7y=371\\y=\frac{371}{7}=53[/tex]

Put [tex]y=53[/tex] in [tex]x=389-7y[/tex]

[tex]x=389-7(53)\\=389-371\\=18[/tex]

Number of students in each van = 18

Number of students in each bus = 53

Why is it that people are fake? Need answer ASAP will mark brainlist

Answers

they will get a crown

Answer:

They feel like they are superior to you, and think that you won't find out that they are bein fake.

Step-by-step explanation:

It's either that or they just want people to like them, so they become fake in order to fit into society.

What is the area of the shaded region

Answers

Answer:

397.16

Step-by-step explanation:

Area of a circle: (3.14)r^2

(3.14)(12)^2

(3.14)(144)

=452.16

452.16-(11*5)

452.16-55

=397.16

Tony need 16 inch long pieces of gold chain to make each 3 necklaces. He has a peice of chain that is 4 1/2 long. How much chain will he have left after making the necklaces

Answers

Answer: 6 inches of chain will he have left after making the necklaces

Step-by-step explanation:

There is a missing information. The correct question is:

Tony needs 16-inch pieces of gold chain to make each of 3 necklaces. He has a piece of chain that is 4 1/2 feet long. How much chain will he have left after making the necklaces.

Solution

We would convert 4.5 feet to inches

1 foot = 12 inches

4.5 feet = 4.5 × 12 = 54 inches

Tony needs 16-inch pieces of gold chain to make each of 3 necklaces. It means that the number of the 16 inches pieces of gold chain that can be gotten to make each of 3 necklaces necklaces is 16 × 3 = 48

The length of chain left chain that will he have left after making the necklaces is

54 - 48 = 6 inches

The equation y minus 3 = negative 2 (x + 5) is written in point-slope form. What is the y-intercept of the line?
–13
–7
2
8

Answers

Answer:

(B)

Step-by-step explanation:

We have the equation:

[tex]y-3=-2(x+5)[/tex]

Convert into Slope Intercept Form:

[tex]y-3=-2(x+5)[/tex]

[tex]-2*x=-2x\\-2*5 = -10[/tex]

[tex]y-3=-2x-10[/tex]

[tex]y-3+3=-2x-10+3\\\boxed {y=-2x-7}[/tex]

Slope-intercept form is [tex]y=mx+b[/tex].

Since '-7' is in the 'b spot', the y-intercept of the line would be -7, or option B.

Option B should be the correct answer.

Answer:

y intercept is -7

Step-by-step explanation:

y - 3 = -2 (x+5)

This is point slope form

We want to get this to slope intercept form

y=mx+b  where m is the slope and b is the y intercept

Distribute

y-3 = -2x-10

Add 3 to each side

y-3+3 = -2x-10+3

y = -2x-7

The slope is -2 and the y intercept is -7

CAN SOMEONE PLEASE HELP ME???

Answers

Answer:T


Step by Step explanation

Answer:

F

Step-by-step explanation:

You need to know the number of people to calculate the amount of dishes

the quotient of a number and 3 is 8

Answers

Answer:

The number is 24

Step-by-step explanation:

The quotient is the answer of a division problem. If a number is divided by 3 and the answer is 8, then the number would be 24. You could set it up into an  equation.

x/3=8

then you multiply both sides by 3 and you will get

x=24

The quotient is indeed the number generated by dividing one integer by the other. Whenever a fraction is simplified, the division is the whole amount that results.

The quotient is the solution to a division issue. Whenever a number is divided by three and the answer is eight, the amount is twenty-four.

Calculation of the equation:

[tex]\to \bold{\frac{x}{3}=8}\\\\\to \bold{x=8\times 3} \\\\\to \bold{x=24}[/tex]

Therefore, the final answer is "24".

Learn more:

brainly.com/question/17331426

An element with a mass of 930 grams decays by 15.6% per minute. To the nearest tenth of a minute, how long will it be until there are 70 grams of the element remaining?

Answers

Answer:15.3

Step-by-step explanation:

What are the solution(s) to the quadratic equation 40 - x2 = 0?
O x = +2/10
O x = +4/10
O x = +2V5
O x = +4/5

Answers

Answer:

  [tex]x=\pm2\sqrt{10}[/tex]

Step-by-step explanation:

You want to solve ...

  [tex]40 -x^2=0\\\\40=x^2\qquad\text{add $x^2$}\\\\\pm\sqrt{40}=x\qquad\text{take the square root}\\\\\boxed{x=\pm2\sqrt{10}}\qquad\text{simplify}[/tex]

Each brick is 13 inches long,5 inches wide,and 4 inches tall.of they used 11,700in3 of concrete how many Bricks did they make.

Answers

Answer:

45 bricks

Step-by-step explanation:

- With the knowledge of the 11,700 in^3 being used. We would need to have the measurements of the brick in that form as well. So in order to find the volume, we must multiply all sides. (13*5*4) = 260 in^3

- Now we have both numbers, we can just divide 11,700 by 260. This will give us 45. Meaning that 45 bricks are made.

Easiest question in the world

Topic: Multiplying and dividing fractions
Provide steps


Focus on question 21

Answers

Answer:

I believe the answer is 7 and a half days

Step-by-step explanation:

15* [tex]\frac{1}{2}[/tex]= 7.5

If you take the 15 and multiply it by the [tex]\frac{1}{2}[/tex] you will get 7.5. Even if you divide the 15 by

Apologies if this is wrong. But I think this is the answer.

Hope I could help :)

Answer:

30 days

Step-by-step explanation:

1 day : ½

x days : 15

x/15 = 1/½

x/15 = 2

x = 30

Write the equation of the circle graphed
below.

Answers

Answer:

(x-1)^2+(y-2)^2=6.25

Step-by-step explanation:

Origin: (1, 2)

Radius: 2 1/2

(x-1)^2+(y-2)^2=2.5^2

(x-1)^2+(y-2)^2=6.25

Answer: ( x - 1 )^2 + ( y - 2 )^2 = 6.25

Step-by-step explanation:

Juliet is standing on the balcony 44 above the ground. She is looking at Romeo at an angle of depression of 6 degrees. if both star-crossed lovers were holding the end of a strong, what would the length of the string be?

Answers

Answer:

length of string  ≈ 421  units (nearest whole number)

Step-by-step explanation:

Juliet is standing on the balcony 44 above the ground . The angle of depression is 6°. A string was held between Juliet and Romeo.

The illustration forms a right angle triangle. The hypotenuse of the triangle is the length of the string held by both star crossed lovers. The opposite side of the triangle is given as 44. Therefore,

using sin ratio

sin 6° = opposite/hypotenuse

sin 6° = 44/length of string

cross multiply

length of string sin 6° = 44

divide both sides by sin 6°

length of string = 44/sin 6°

length of string = 44/0.10452846326

length of string = 420.937978274

length of string  ≈ 421 units(nearest whole number)

Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.

Answers

Answer:

Length of x ⇒ ( About ) 11.5; Option C

Step-by-step explanation:

~ Let us plan this question step-by-step. We know that the line segment with length 13.1 is a radii to the circle, as well as a hypotenuse to a right triangle. Respectively the hypotenuse of another triangle is a hypotenuse as well. By radii ≅, these two part of these two triangles are ≅ ~

1. If these two parts are ≅, the triangle with leg x has a hypotenuse of 13.1 as well ( through ≅ ). This would mean that Pythagorean theorem is applicable for this triangle, as to solve for line segment x.

2. By Pythagorean Theorem ⇒

6.2^2 + x^2 = 13.1^2,

38.44 + x^2 = 171.61,

x^2 = 133.17

Length of x ⇒ ( About ) 11.5

what is the pythagorean identity

Answers

Answer:

The most common trigonometric identities are those involving the Pythagorean Theorem...

Step-by-step explanation:

The Pythagorean trigonometric identity, also called the fundamental Pythagorean trigonometric identity or simply Pythagorean identity is an identity expressing the Pythagorean theorem in terms of trigonometric functions..

Order the numbers from least to greatest
1/4
π
Square root symbol-19 , -5 , 2.5

Answers

Answer:

13) -5, 1/4, [tex]\pi[/tex], [tex]\sqrt{19}[/tex]

14) -[tex]\sqrt{11}[/tex], -2, 0, 2 1/2

The rectangle below has an area of x^2-7x+10square meters and a width of x - 5 meters. What expression represents the length of the rectangle below? length=_____ meters.

Answers

Answer:

L = (x - 2) meters

Step-by-step explanation:

The area of the rectangle = (x² - 7x + 10) m²

The width = (x - 5) m

length = ?

Area of a rectangle = length × width

x² - 7x + 10 = L(x -5)

note L = length

divide both sides by (x-5)

(x² - 7x + 10)/(x - 5) = L

L = x² - 7x + 10 / (x -5)

Factorize x² - 7x + 10

find the numbers you can multiply to give you 10 and also add to give you -7

The numbers are -2 and -5. Therefore,

x² - 2x - 5x + 10 = 0

x(x - 2) - 5(x - 2) = 0

(x-5)(x-2) = 0

Let us go back to our division

L = x² - 7x + 10 / (x -5)

x² - 7x + 10 = (x-5)(x-2)

L = (x-5)(x-2) / (x -5)

L = (x - 2) meters

20 + 27x + 9x^2 = (?) (3x + 5)

Answers

Answer:

(3x + 4)

Step-by-step explanation:

9x²+27x+20 can be factored out to (3x + 4)(3x + 5)

Referring to the table below, What is the probability of a student in the marching band being either female or a senior?​

Answers

Answer:

a.

Step-by-step explanation:

P(F or S) = P(F) + P(S) - P(F & S)

= 0.46 + 0.22 - 0.12

= 0.56

ANSWER SOON PLS!!!!!
Which of the following is a false statement?
A
The numbers we use today came from Arabic numerals.

B
Muslim doctors knew about hygiene and blood circulation.

C
There were no mosques on the African continent.

D
Muslim scientists developed a device that allowed sailors to navigate by the stars.

Answers

A because the Arabic’s creates the nunber syste

Answer:

The answer is C There were no mosques on the African continent.  

Step-by-step explanation:

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