Which equation correctly uses the law of cosines to solve for y? 92 = y2 + 192 – 2(y)(19)cos(41°) y2 = 92 + 192 – 2(y)(19)cos(41°) 92 = y2 + 192 – 2(9)(19)cos(41°) y2 = 92 + 192 – 2(9)(19)cos(41°) PLS HELP!!

Answers

Answer 1

Answer:

[tex]Fourth \: option: y^2=9^2+19^2-2(9)(19) cos(41°)[/tex]

[tex]The \: law \: of \: cosines \: to \: solve \: for \: one \: side  \: is:[/tex]

[tex]c^2=a^2+b^2-2ab \: cos \: C[/tex]

We must know the other two sides (a and b) and the angle between these sides (angle C, the opposite to the side that we want to determine)

In this case c=y, a=9, b=19, and C=41°, then:

[tex]y^2=9^2+19^2-2(9)(19) \: cos \: (41°)[/tex]


Related Questions

Which statement is the correct interpretation of the inequality −4 > −5? (5 points)

Question 7 options:

1)

On a number line, −4 is located to the left of 0 and −5 is located to the right of 0.

2)

On a number line, −4 is located to the right of 0 and −5 is located to the left of 0.

3)

On a number line, −4 is located to the right of −5.

4)

On a number line, −4 is located to the left of −5.

Answers

Answer:

On a number line, -4 is located to the right of -5

Step-by-step explanation:

Answer:

On a number line, -4 is located to the right of -5.

Step-by-step explanation:

this is correct, also I don't take credit for it the person above me is the original. :)

HELP!? ✋


What strategies help prevent cancer?

Select all that apply.

Question 8 options:

using sunscreen


avoiding tobacco


getting enough sleep


eating a healthy diet

Answers

All of them are strategies for preventing cancer

A triangular prism is 18 centimeters long and has a triangular face with a base of 12 centimeters and a height of 8 centimeters. The other two sides of the triangle are each 10 centimeters.
What is the surface area of the triangular prism?

Answers

Answer:

672 sq cm

Step-by-step explanation:

Each triangular base is 1/2 (12 * 8) or 48, making them = 96.

One of the sides is 12 x 18 = 216

The other 2 sides are 10 x 18 = 180 x 2 = 360

Add them all together to get 672 sq cm

9x2+8x(5x-4) simplify

Answers

Answer:-14x + 40x² is the answer.Step-by-step explanation:9x(2) + 8x(5x - 4)=> 18x + 8x(5x-4)=> 18x + 40x² - 32x=> -14x + 40x²Conclusion:

Therefore, -14x + 40x² is the answer.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Sharon wants to buy a shirt that cost $60. The sales tax is 5%. How much is the sales tax. What is her total cost for the shirt?

Answers

5% of 60$ is 3$. So sales tax is 3$. Total cost is 63$

Tutorial
A line with a slope of 1 passes through the point (-2, -3). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y = x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1 , then

y = x + c ← is the partial equation

To find c substitute (- 2, - 3 ) into the partial equation

- 3 = - 2 + c ⇒ c = - 3 + 2 = - 1

y = x - 1 ← equation of line

Carpet Company A

c = 1.35y + 100

where c is the cost and y is the number of square yards.

Carpet Company B

This company charges $2.05 per square yard for the carpet and the installation.

Identify the unit rate in dollars per square yard for each carpet company.

Answers

Answer:

2.45

Step-by-step explanation:

Max's parents bought $8,000 from the bank for a new car. The interest rate is 6% per year. How much simple interest will they pay if they take 3 years to repay the loan?

Answers

Answer:

1440

Step-by-step explanation:

A sequence begins with-3. Each term is calculated by multiplying the previous term by -4, then subtracting 1.
Which option correctly represents the sequence described?
A -3, 11, -45, 179, ...
B {-3, -13, -53, -213, ...}
C. {-3, 11, -45, 179, ...}
D -3, -13, -53, -213,...

Answers

Answer:

A

Step-by-step explanation:

We know that to find the next term we have to do

-3(-4)-1, which is equal to 11.

There are only to solutions with the '11' as the second term, A and C.

It can't be C as curly brackets state a set of numbers.

Find the area in square feet of a rectangle with a base of 3 feet and a height of 4 1/3 feet.

Answers

Answer:

13 ft^2

Step-by-step explanation:

Area = Base * Height

= 3 * (4+1/3)

=3*(13/3)

=13


A textbook store sold a combined total of 272 biology and math textbooks in a week. The number of math textbooks sold was 50 less than the number of biology textbooks sold. How many textbooks of each type were sold? Number of biology textbooks sold: number of math textbooks sold:

Answers

Answer:

b = 161, m = 111

Step-by-step explanation:

b + m = 272

m + 50 = b

Substitute

m + 50 + m = 272

2m = 222

m = 111

Plug in for m

b + 111 = 272

b = 161

1) A museum borrows $2,000,000 at simple annual interest to purchase new exhibits. Let x represent the amount borrowed at 7%, y represent the amount borrowed at 8.5%, and z represent the amount borrowed at 9.5%. Set up a system of linear equations to determine how much is borrowed at each rate given that the total annual interest is $169,750 and the amount borrowed at 8.5% is four times the amount borrowed at 9.5%. Then write the system in matrix form. You do not have to solve the system.

Answers

Based on the information the amount borrowed at each rate is:

Z=9.5%=$350,000Y= 8.5%=$1,400,000X=7% =$250,000

Let x=9.5%  

Let 4x= 8.5%  

Let 7% =$2,000,000 - 5x

Formulate

0.095x + 0.085(4x) + 0.07(2,000,000-5x) = 169,750

Collect like terms

0.095x + 0.34x + 140,000 - 0.35x = 169,750

Divide both side by 0.085x

0.085x = 29,750

x=29,750/0.085

x =$350,000

Amount borrowed at each rate:

Z=9.5% =$350,000

Y= 8.5% =$350,000×4

Y= 8.5% =$1,400,000

X=7% =$2,000,000 - 5($350,000)

X=7%=$2,000,000-$1,750,000

X=7% =$250,000

Matrix form

Z $350,000

Y $1,400,000

X $250,000

Inconclusion the amount borrowed at each rate is: $350,000; $1,400,000; $250,000.

Learn more about  amount borrowed  here:https://brainly.com/question/24576997

what is linear spline?​

Answers

9Linear splines

The linear spline represents a set of line segments between the two adjacent data points (Vk,Ik) and (Vk+1,Ik+1). ... The linear spline is constructed for each interval V = [Vk,Vk+1] independently and it matches the data values (Vk,Ik) for k=0,1,...,n.

1. 2h−3(3−h)+ _=5h−8
Make equation have infinite solution

2. −k+_(k+1)=2k
make equation have no solution

Answers

Answer:

HOPE THAT HELPS BUT I DO NOT HAVE ANSWER

Step-by-step explanation:

3×2k=????

3×5=??

6×k=??

6×4=??

then put all those together in a 2 step equation and then add 9 to the answer

If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions. If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no solutions.

help pls :) solve x+4/3 = 3/x-4
i’ve also attached a picture of the problem if you get confused on the typing

Answers

Answer:

x= 5 or x= -5

Step-by-step explanation:

[tex] \frac{x + 4}{3} = \frac{3}{x - 4} [/tex]

Cross multiply:

(x +4)(x -4)= 3(3)

Expand:

[tex]\boxed{a {}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]

x² -4²= 9

x² -16= 9

+16 on both sides:

x²= 9 +16

x²= 25

Square root both sides:

[tex]x = ± \sqrt{25} [/tex]

x= 5 or x= -5

Given that:

[(x+4)/3] = [3/(x-4)]

We know that

(a/b) = (c/d)

⇛a(d) = b(c)

Now,

By using cross multiplying fraction, we get

⇛x+4(x-4) = 3(3)

⇛x(x-4) + 4(x-4) = 9

⇛x² - 4x + 4x - 16 = 9

⇛x² - 0 -16 = 9

⇛x² = 9+16

⇛x² = 25

⇛x = √(25)

⇛x = ±√(5*5)

⇛x = ±5 = +5 or -5 Ans.

also read similar questions: Solve the expression and find the value of x. [tex] \frac{x⁠…

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Can some one help me solve this x+3/2+3x/7 = 7

https://brainly.com/question/25742683

Brittany works at the local fish hatchery. Her job is to unload the boxes of fish food. What is the surface area in square feet of the entire package? The package is a rectangular box.

Answers

Answer:

4.25 sq. ft

Step-by-step explanation:

l = 24

w = 0.5

h = 12

SA = 2lw + 2lh + 2wh

2*(12*0.5 + 24*0.5 + 12*24) = 612 sq. in = 4.25 sq. ft

The sum of the angle measures of a triangle is 180°. Find the value of x. Then find the angle measures of the triangle.

Answers

Answer:

x = 4343°, 51°, 86°

Step-by-step explanation:

The sum of the angles is ...

  x° + (x +8)° + 2x° = 180°

  4x +8 = 180 . . . . . . . . . . . collect terms, divide by °

  x +2 = 45 . . . . . . . . . . divide by 4

  x = 43 . . . . . . . . . . subtract 2

  x +8 = 51

  2x = 86

The angles are 43°, 51°, 86°.

A local rectangular shaped pool used by lap swimmers has dimensions 25 yd by 26 yd and is 5.1 feet deep. Find the cost for filling the pool if the city charges $1.50 per 1000 gallons. Use the conversion 1 gallon = 0.134 cubic ft.
Round your answer to two decimal places.

Answers

The cost for filling the pool if the city charges $1.50 per 1000 gallons is $333.97

Given:

Length = 25 yd

width = 26 yd

Height = 5.1 ft

convert yard to feet

25 yd = 75 ft

26 ft = 78 ft

Volume of the pool = length × width× height

= 75 × 78 × 5.1

= 29,835 cubic ft

1 gallon = 0.134 cubic ft.

222,649.3 gallon = 29,835 ft

charges per 1000 gallon = $1.50

Total charges = 222,649.3 gallon / 1000 gallon × $1.50

= 222.6493 × 1.50

= 333.97395

Approximately,

$333.97

Therefore, the cost for filling the pool if the city charges $1.50 per 1000 gallons is $333.97

Learn more about volume:

https://brainly.com/question/12978944

Solve |2x - 5| = 4.
a. {x | x = 0.5 or x = 4.5}
b. {x | 0.5 < x < 4.5}
c. {x | x = -4.5 or x = 4.5}

Answers

x = 4.5 x = .5
Step-by-step explanation:
|2x - 5| = 4
The absolute value has two solutions one positive and one negative
2x-5 = 4 2x-5 = -4
Add 5 on each side
2x-5+5 = 4+5 2x-5+5 = -4+5
2x = 9 2x =1
Divide by 2
2x/2 =9/2 2x/2 = 1/2
x = 4.5 x = .5

SCO
Sarah put 15 gumdrops on the roof of her
gingerbread house. How many gumdrops
will she need to make 16 more houses
exactly like this one?
MY
gumdrops

Answers

Answer: 240 gumdrops

Step-by-step explanation:

1 house: 15 gumdrops

16 houses : 240 gumdrops

1 x 16 = 16

15 x 16 = 240

Find the graph for the equation y=|x-3|-6?

Answers

Answer:

Step-by-step explanation:

help me please please​

Answers

Answer:

11/14

Step-by-step explanation:

Have a nice day !!!

Answer:

its B, its 11/14

Step-by-step explanation:

here are vaccinations for all of the following except __________

Question 10 options:

hepatitis C.


chicken pox.


tuberculosis.


mumps.

Answers

Answer:

Hepatitis C.

Step-by-step explanation:

Men to women working for a company ie 2 to 3 if there are 80 employees total how many men work for the company

Answers

Answer:

32

Step-by-step explanation:

A rectangle that measures 2 inches by 4 inches.
What is the area of the rectangle?

Answers

Answer:

8 in

Step-by-step explanation:

because 4 x 2 = 8 inches squared

Answer:

8 inches²

Step-by-step explanation:

formula for the area of a rectangle is l x w

2 inches x 4 inches = 8 inches.

Area is written in  (unit)²

so, the area of the rectangle is 8 inches²

What does this equal 2(4+5) over 3

Answers

2(4+5) = 18
so 18/3 = 6

Please help

Use the function f(x)=2−5x to fill out the table.
x f(x)
-2 ___
-1 ___
0 ___
1 ___
2 ___

Answers

Answer:

-2 12

-1 7

0 2

1 -3

2 -8

Step-by-step explanation:

[] With the function f(x)=2−5x we can tell that we will plug x into the equation without doing anything to it (x)

-2 ___

f(-2) = 2−5x

f(-2) = 2−5(-2)

f(-2) = 2 + 10

f(-2) = 12

-1 ___

f(-1) = 2−5x

f(-1) = 2−5(-1)

f(-1) = 2 + 5

f(-1) = 7

0 ___

f(0) = 2−5x

f(0) = 2−5(0)

f(0) = 2

1 ___

f(1) = 2−5x

f(1) = 2−5(1)

f(1) = 2 - 5

f(1) = -3

2 ___

f(2) = 2−5x

f(2) = 2−5(2)

f(2) = 2−5(2)

f(2) = 2−10

f(2) = -8

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

please help me on this​

Answers

Answer:

3

Step-by-step explanation:

2  +  3  =   7

---    ---      ---

6      6       6

 the number of Significant Figures in 13410000 *​

Answers

Answer:

hhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

hhhhhhhhhhhh

Answer:

4

Step-by-step explanation:

13410000

Sig Figs4

13410000

Decimals0

Scientific Notation1.341 × 107

E-Notation1.341e+7

Words thirteen million four hundred ten thousand

Find the value of x.

Answers

Answer:

Step-by-step explanation:

The top left angle is 55 (alternate interior angles).

x + 100 + 55 = 180                     All triangles are made up of 180 degrees

x + 155 = 180                             Subtract 155 from both sides.

x = 180 - 155                              Combine

x = 25

Answer: x = 25°Step-by-step explanation:=> 55 + 100 + x = 180 [The '100' came into this equation because of vertically opposite angles.]=> 155 + x = 180=> x = 25°Conclusion:

Hence, 'x = 25°' is the value of 'x'

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

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