Use the Law of Sines to complete an expression that represents the angle measure x.

Use The Law Of Sines To Complete An Expression That Represents The Angle Measure X.

Answers

Answer 1

Answer:

The length of a is equal to 14.9.

The angle measure of b is equal to 71°.

The length of c is equal to 25.5.

General Formulas and Concepts:
Pre-Calculus

Law of Sines:
[tex]\displaystyle \bold{ \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c} }[/tex]

Step-by-step explanation:

Step 1: Define

Identify given from triangle.

Length corresponding with x°: 14.9

Other given angle: 71°

Length corresponding with 71°: 25.5

Step 2: Find Values

[Law of Sines] Substitute in variables:
[tex]\displaystyle \frac{\sin x^\circ}{14.9} = \frac{\sin 71^\circ}{25.5}[/tex]Isolate x° term:
[tex]\displaystyle \sin x^\circ = \frac{14.9 \sin 71^\circ}{25.5}[/tex]Isolate x°:
[tex]\displaystyle x^\circ = \sin^{-1} \bigg( \frac{14.9 \sin 71^\circ}{25.5} \bigg)[/tex]Identify variables:
[tex]\displaystyle a = 14.9 , \ b = 71^\circ , \ c = 25.5[/tex]

∴ we have completed the expression using Law of Sines.

---

Topic: Precalculus

Unit: Trigonometry


Related Questions

a zoo has 15 toucans and 60 parrtos

Answers

Answer:

It has 75 birds

Step-by-step explanation:

Hope that's the answer since I can't get the question

A square has side lengths of 9 use the Pythagorean theorem to find the length of the diagonal

Answers

Answer:

12.73

Step-by-step explanation:

The diagonal of the square forms the shape of a right angle with two adjacent sides of the square.

The diagonal is the hypotenuse.

Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides of the triangle:

[tex]d^2 = a^2 + b^2[/tex]

where d = hypotenuse = diagonal.

Since the other two sides are equal, then:

[tex]d^2 = a^2 + a^2\\\\d^2 = 2a^2[/tex]

The length of the side of the square is 9:

[tex]d^2 = 2 * 9^2 \\\\d^2 = 2 * 81\\\\d^2 = 162\\\\d = \sqrt{162}\\ \\d = 12.73[/tex]

The length of the diagonal is 12.73

Answer:

12.73

Step-by-step explanation:

A new lawn has a perimeter of 278 ft. and a width of 64 ft. A bag of grass seed will cover 384 ft 2of ground. How many bags of grass seed are needed to seed the new lawn? A. 4.34 B. 6 C. 10.25 D. 12.5

Answers

Answer:

12.5 bags

Step-by-step explanation:

This problem is on the mensuration of flat shapes

Given

perimeter of lawn = 278 ft

width of lawn = 64 ft

1. we need to solve for the length of the lawn

2. we also  we need to solve for the area of the lawn

perimeter of lawn= 2(width) + 2(length)

substituting our data we have

let the length be x

[tex]= 278= 2(64) + 2(x)\\\=278= 128+2x\\\=278-128= 2x\\\=150=2x\\\\\x=\frac{150}{2} \\\x= 75ft[/tex]

the length is 75 ft

the area of the lawn is [tex]75*64= 4800ft^2[/tex]

if a bag will cover[tex]384ft^2[/tex]

to cover the lawn we will need

[tex]\frac{4800}{384} \\=12.5 bags[/tex]

What effect will replacing x with (x+7) have on the graph of the equation y=x2 y = x 2 ? A. slides the graph 7 units right B. slides the graph 7 units down C. slides the graph 7 units left D. shrinks the graph by a factor of 7

Answers

Answer:

C

Step-by-step explanation:

Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Thus y = (x + 7)²

represents a shift to the left of 7 units → C

The graph y = x² will slide the graph 7 units left by replacing x with (x+7) thus, the correct option is (C).

How to plot a graph?

In order to plot a graph, we have to substitute all the x's values into a function.

Find out the y's value corresponding to the x's and plot the graph in the coordinate geometry.

By the replacing x by (x + a) in the function y = f(x), the function is going to shift either left or right horizontaly.

1. If a is positive then the graph will slide left of the units.

2. If a is negative then the graph will slide right of the units.

Given that, y = x² is need to replace with y = (x+7)²

Since 7 is positive so the graph will slide 7 units left.

For more information about the graph

https://brainly.com/question/16608196

#SPJ2

shoe store uses a 40% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of ​$69

Answers

Answer: $96.60  

Step-by-step explanation:

40% * 69 = markup price

0.4 * 69 = 27.6

Now add it to the wholesale price which is the price the store bought the shoes.

$27.6 + $69 = $96.60  

or

100% + 40% = 140%

140% of 69 = ?

1.4 * 69 = $96.60

The expression sin^-1(4/5) has and infinite number of values. True or false?

Answers

It is indeed false.

[tex]\sin^{-1}x[/tex] is a function that takes values of [tex]x[/tex] between -1 and 1, and takes on values between -π/2 and π/2. Most importantly, it's a function that takes *one* value in its domain and assigns it to exactly *one* value in its range. Hence [tex]\sin^{-1}x[/tex] is one-to-one.

It's true that [tex]\sin x=\frac45[/tex] has infinitely many solutions, but [tex]\sin x[/tex] itself is not one-to-one.

Answer:

False

Step-by-step explanation:

Which value of f 3f+5=32 a true statement
Choose 1 answer


A
f=6


B
f=8

C
f=9


D
f=12

Answers

Answer:

C. f = 9

Step-by-step explanation:

→Subtract 5 from both sides:

3f + 5 = 32

    - 5    - 5

_________

3f = 27

→Divide both sides by 3:

f = 9

Answer:

C f=9

Step-by-step explanation:

Trust me, I  got the answer right.

PLZZZZZZZZZZZZZZZZZZZ ANSWER THIS QUESTION I WILLL MARK BRAINLIEST

Answers

Answer:

Okay, so, your picture kinda blurry but I'll still help you:

to find y intercepts you just see where the line crosses the y axis and write the coordinate down for each line.

To find the gradient, just pick two points on a line and do

1)the difference between both y axis points

2)the difference between the x axis points

and then divide 1) by 2) to get the gradient.

Hope this helps!!

13. What is the circumference of a circle with a diameter of 6 cm. Leave your answer in terms of tt.
O 6 cm
O 247 cm
O 12 cm
O 9 cm​

Answers

Answer:

C = 6pi cm

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

C = 6pi cm

During the annual walk for peace, nina walked a total of six miles more than her husband ed. Their combined mileage was 46. Ed's company pledged to donate $1.00 for each mile that ed and nina walked. How many miles did nina walk?

Answers

Answer:

26miles

Step-by-step explanation:

Let Nina's husband's (Ed) mileage = x miles

Nina = (x + 6) miles

Combined mileage = 46

Nina's miles + Ed's miles = 46

x + (x+6) = 46

x+x+6 = 46

2x +6 = 46

2x = 46-6

2x = 40

x = 40/2 = 20miles

Nina's husband covered 20miles

Nina covered = x+6 = 20+6 = 26miles

Nina walked 26miles

Someone please help me :( I’m struggling

Answers

Answer:

ax - by = k

Step-by-step explanation:

A literal equation is an equation made up of variables representing numbers that can be changed

ax - by = k is a literal equation because there are no numbers

Letters stand for each item

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

slope = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 3) ← 2 points on the line

m = [tex]\frac{3-2}{4-0}[/tex] = [tex]\frac{1}{4}[/tex]

Pls answer this correctly

The number of pieces of popcorn in a large movie theatre popcorn bucket is normally distributed, with a mean of 1720 and a standard deviation of 20. Approximately what percentage of buckets contain between 1680 and 1760 pieces of popcorn?

Approximately 68%
Approximately 75%
Approximately 95%
99.7%

Answers

The answer is 95% percent

r(s+t)=u

options:


t=u−s/r



t=u/r−s



t=u/r+s



t=ru−s

Answers

Answer:

t = u/r   -s

Step-by-step explanation:

r(s+t)=u

Divide each side by r

r/r(s+t)=u/r

s+t = u/r

Subtract s from each side

s+t-s = u/r  -s

t = u/r   -s

Find the third side in simplest radical form

Answers

Answer:    3*sqrt(6)

=========================================================

Work Shown:

We see that one of the legs is unknown. We'll call this 'a'.

The other leg is b = 2, which becomes b^2 = 4

The hypotenuse (always opposite the 90 degree angle) is c = sqrt(58). This turns into c^2 = 58 when you square both sides.

---------

Use the pythagorean theorem to get

a^2+b^2 = c^2

a^2+4 = 58

a^2 = 58-4

a^2 = 54

a = sqrt(54)

a = sqrt(9*6)

a = sqrt(9)*sqrt(6)

a = 3*sqrt(6)

The third side in simplest radical form is x=3[tex]\sqrt{6}[/tex]

RIGHT TRIANGLE

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called the hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios, metric relationships, or the Pythagorean Theorem.

For solving this question, you need to apply the Pythagorean Theorem that says: (hypotenuse)²= (leg1)²+(leg2)².  

The question gives:

Hypotenuse= [tex]\sqrt{58}[/tex]Leg1= 2Leg2= third side = unknow

Applying the Pythagorean Theorem, you have:

([tex]\sqrt{58}[/tex])² = 2²+ x²

58=4+x²

x²=58-4

x²=54

x=[tex]\sqrt{54}[/tex]

x=[tex]\sqrt{2*3^3}[/tex]

x=[tex]\sqrt{2*3^2*3}[/tex]

x=3[tex]\sqrt{2*3}[/tex]

x=3[tex]\sqrt{6}[/tex]

Learn more about the Pythagorean theorem here:

brainly.com/question/11528638

#SPJ6

Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

The answer is b

can 2x + 3y be simplified?

Answers

Answer:

no

Step-by-step explanation:

why is 8.8 a rational number

Answers

Answer:

See below

Step-by-step explanation:

8 is classified as a rational number because it can be made into a fraction. 8.8 = 8 8/10 = 88/10

It take 160 ribbons to make 4 football mums.What is the constant of proportionality that relates the number of football mums made ,y, to the number of ribbons used,x? A.40 B.1/10 C.80 D.1/4

Answers

Answer:

The constant of proportionality is [tex]\frac{1}{40}[/tex]

Step-by-step explanation:

We have a function that relate the number of football mums made to the number of ribbons needed, since they are proportional the function that relates the two variables is a linear function is shown below:

[tex]y = a*x[/tex]

The constant of proportionality is the number, "a", that relates the two variables. It was state that 160 ribbons make 4 mums, therefore:

[tex]4 = a*160\\a*160 = 4\\a = \frac{4}{160} = \frac{1}{40}[/tex]

The constant of proportionality is [tex]\frac{1}{40}[/tex]

GIVE ME THE COORDINATES!!!

Answers

Answer:

(0,1)

Step-by-step explanation:

The solution to a system of equations is where the two lines intersect. Algebraically, you could solve this by setting the equations equal to each other.

I hope this helps!

please help with this

Answers

Answer:

37

Step-by-step explanation:

Using the Pythagorean theorem:

[tex]x=\sqrt{12^2+35^2}=\sqrt{144+1225}=\sqrt{1369}=37[/tex]

Hope this helps!


In a survey of 150 people, 60 like cricket only 40 like football only
and 30 do not like them, by drawing Venn-diagram firid the number
of people who like both:​

Answers

[tex]the \: answer \: is \: 20. \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Solve the system of linear equations by graphing.

2x + 3y = 16.9

5x = y + 7.4



What is the solution to the system of linear equations? Round to the nearest tenth as needed.

(
,
)

Answers

Answer:

The solution is shown in the graph.

x= 2.3

y= 4.3

Answer: x = 2.3 y = 4.1

Step-by-step explanation: I got it right on edge2020 y IS NOT 4.3 IT IS 4.1.


Need help , can’t find this one

Answers

Answe : 2
Since it is the inverse g(2) = -3
And f(-3) = 2

find the volume of prism
pls!! show how you got the volume ​

Answers

Answer:

7.5

Step-by-step explanation:

Add each number then divide at the end

Anyone know how this can be solved?​

Answers

Answer:

127.235cm^2

Step-by-step explanation:

A = πr²/2 = 40.5 * π [cm²] ≈ 127.235 [cm²]

Answer:

[tex]127.251 {cm}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{180}{360} \times \pi {r}^{2} \\ \frac{1}{2} \times 3.142 \times 9 \times 9 \\ = \frac{254.502}{2} \\ = 127.251 {cm}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

a builder has to fix 3 Walls that have fallen down.He needs 2kg of cement for each wall.How much will he need altogether in kilograms

Answers

Answer: 6 kilograms

Step-by-step explanation:

3 walls * 2 kilograms each = 6 kilograms in total

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 118 kilograms. A delivery of 2 large boxes and 12 small boxes has a total weight of 193 kilograms. How much does each type of box weigh?

Answers

Answer:

Large box = 31/2 = 15.5 kgs

Small box = 27/2 = 13.5 kgs.

Step-by-step explanation:

Let x be large box

Let y be small box

5x + 3y = 118

5x = 118 - 3y

x = 118/5 - 3/5y

2x + 12y = 193

2(118/5 - 3/5y) +12y = 193

y = 27/2 = small box

Large box

5x + 3(27/2)=118

x = 31/2 = large box

what is -14x-7 idk I have tried everything

Answers

______________________________

Hey!!

Solution,

-14x-7

take the common

Answer: -7(2x+1)

Hope it helps

Good luck on your assignment

__'________________________

Answer:

i think its -2

Step-by-step explanation:

distribute and find the x

state what additional information is required in order to know that the triangles are congruent by SSS​

Answers

Answer:  d) DF ≅ JH

Step-by-step explanation:

Side-Side-Side Congruency Theorem states that triangles are congruent if and only if their corresponding side lengths are congruent.

Given: EF ≅HI

Given: DE ≅IJ

Missing: DF ≅ JH

Other Questions
Write a short program in C that will display the following information: Name : Phones: email: Hometown: High School(s): Previous colleges: List college math/CS courses: What, when, and where was your last math and cs course?Type(s) of computers that you are confident working on: Extracurricular activities (jobs, clubs, sports, etc.) Favorite books, movies, music: What you plan to do after graduation? (Be as specific as you can.) Be sure to include all necessary documentation within your code Organisms are classified as producers or consumers acorrding to the way theyA)obtainB)release wastes C)produce offspringD)move from place to place The sum of 3c2d3 + (-5c2d3) + 10c2d3 is Read the passage below and answer the questions that follow. Mon meilleur professeur Mon meilleur professeur sappelle Monsieur Paul Amevu. Il est mon professeur de francais. Il vient de cotonou mais il habite au Nigeria avec sa famille. Il a 50 ans. Il est grand et corpulent. Il porte les vetements traditionnels. Ses quatres enfants sont au college. Sa femme est professeur. Elle a trente ans. Monsieur Paul aime manger ligname avec la sauce. Son sport favori est le football. Jaime monsieur Amevu parce quil est gentil et intelligent. 1. Comment sappelle le professeur de francais? 2. Quel age a sa femme? 3. Combien denfants a Monsieur Amevu? 4. O habite Monsieur Amevu et sa famille? 5. Quelle est la profession de sa femme? what part of the brain helps you see and think PLS HELP!! Need help with this asap. Find the surface area of the polyhedra pls!! show how you got the surface area Espresso is a coffee beverage made by forcing steam through finely ground coffee beans. Modern espresso makers generate steam at very high pressures and temperatures, but in this problem we'll consider a low-tech espresso machine that only generates steam at 100?C and atomospheric pressure--not much good for making your favorite coffee beverage.The amount of heat Q needed to turn a mass m of room temperature ( T1) water into steam at 100?C ( T2) can be found using the specific heat c of water and the heat of vaporization Hv of water at 1 atmosphere of pressure.Suppose that a commercial espresso machine in a coffee shop turns 1.50 kg of water at 22.0?C into steam at 100?C. If c=4187J/(kg??C) and Hv=2,258kJ/kg, how much heat Q is absorbed by the water from the heating resistor inside the machine?Assume that this is a closed and isolated system.Express your answer in joules to three significant figures.Q = _________________ J What is the surface area of a cube in which each face of the cube has an area of 7 cm 2 ? surface area = cm 2 PLZZZZZZZZZZZZZZZZ HELP ASAP The object will feel minimum force of gravity at the which are the principal area lying in the equatorial region PLEASE HELP!! WILL GIVE BRAINLIEST ANSWER!! Which graph represents the function f(x) = 1/x+3 -2 The lengths of two sides of an acute triangle are 8 inches and 10 inches. Which of the following could be the length of the third side? A. 5 inches B. 6 inchesC. 12 inches D. 13 inches Can someone please so me how I would figure out how to do this? I believe its subtraction. But Im not sure If P(-2, 1) is rotated 90, its image is How marly electrons are in an atom of elementalsodium? True or false. Introduction of exotic species has beneficial biological and economic effects 2. What is the main responsibility of the House Ways and Means Committee?A taking care of the needs of the armed servicesB deciding which committees will consider certain billsOC considering relationships with foreign countriesOD deciding how to raise money for the federal government Madeline is writing a computer program for class. The first day she wrote 5 lines of code. She wrote 15 lines of code on the second day and 45 on the third day. Find the total amount of lines of code written after all 6 days.