Using Trig to Find a Side

Using Trig To Find A Side

Answers

Answer 1
Sin42= opp/hyp

Sin42=6.4/x

X= 6.4/sin42 = 9.564

X= 9.56

I hope that helps and sorry if my answer turned out to be wrong
Answer 2

The value of the length x in a given triangle by using the trigonometry formula would be 9.6 units.

Given that,

A triangle UVW is shown in the image with sides and angles,

vw = 6.4

uv = x

And, ∠wuv = 42°

Used the trigonometry formula which states that,

[tex]\text{ sin x} = \dfrac{\text{ Opposite}}{\text{ Hypotenuse}}[/tex]

Here, we have;

An angle ∠wuv = 42°.

So, we get;

[tex]\text{ sin 42} = \dfrac{\text{ vw}}{\text{ uv}}[/tex]

Substitute given values,

[tex]\text{ sin 42} = \dfrac{\text{ 6.4}}{\text{ x}}[/tex]

Since, sin (42°) = 0.67

Hence,

[tex]0.67 = \dfrac{6.4}{x}[/tex]

Multiply by x on both sides,

[tex]0.67 \times x = 6.4[/tex]

Divide both sides by 0.67, we get;

[tex]x = \dfrac{6.4}{0.67}[/tex]

[tex]x = 9.55[/tex]

Round to the nearest tenth,

[tex]x = 9.6[/tex]

So, the value of x is 9.6 units.

To learn more about the triangle visit;

brainly.com/question/1058720

#SPJ6


Related Questions

A car is 12 feet long. Levi makes a scale model of the car at 1:8 of its actual size. How long is the model

Answers

Answer:

1.5 feet

Step-by-step explanation:

Answer:

1.5 feet or 3/2 feet

Step-by-step explanation:

Ready lesson 8 independent practice

Answers

Answer:

wdym???

Step-by-step explanation:

During a storm the temperature drops from 90oF to 75oF. How much did the temperature drop in oC? (Round your answer to the nearest whole number. ).

Answers

15oC that is the answer

will give brainlyist
What is the quotient of 1 and 7 over 8 ÷ 3 over 8?

Answers

Answer:

5

Step-by-step explanation:

[tex]1\frac{7}{8}\div\frac{3}{8}[/tex]

[tex]=\frac{15}{8}\div \frac{3}{8}[/tex]

[tex]=\frac{15\times \:8}{8\times \:3}[/tex]

[tex]=\frac{15}{3}[/tex]

[tex]=5[/tex]

The quotient is 5.

[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\textsf{Given that:}\\[/tex]

[tex] \sf1 \dfrac{7}{8} \div \dfrac{3}{8} \\ [/tex]

[tex] \sf \longmapsto \: \dfrac{7 \times 8}{8} \div \frac{3}{8} \\ [/tex]

[tex] \sf \longmapsto \: \dfrac{15}{8} \div \dfrac{3}{8} \\ [/tex]

[tex] \sf \longmapsto \: \dfrac{ \dfrac{15}{8} }{ \dfrac{3}{8} } \\ [/tex]

[tex] \sf \longmapsto \: \dfrac{ \dfrac{15}{8} \times \frac{8}{3} }{ \dfrac{ \cancel \green3}{ \cancel \red8} \times \frac{ \cancel \red8}{ \cancel \green3} } \\ [/tex]

[tex]\sf \longmapsto \dfrac{ \dfrac{15}{8} \times \frac{8}{3} }{1} \\ [/tex]

[tex]\sf \longmapsto \: \dfrac{15}{ \cancel \red8} \times \dfrac{ \cancel \red8}{3} \\ [/tex]

[tex]\sf \longmapsto \: \dfrac{15}{3} \\ [/tex]

[tex]\sf\longmapsto \:\dfrac{15÷3}{3÷3}\\[/tex]

[tex]\sf\longmapsto \:\dfrac{5}{1}\\[/tex]

[tex]\sf\longmapsto \:\boxed{5} \: Answer.\\[/tex]

also read similar questions: Multiply. Write your answer as a fraction in simplest form...

https://brainly.com/question/25825525?referrer

24) If the simple interest on $4,000 for 3 years
is $960, then what is the interest rate?

Answers

Answer:

8% annual

Step-by-step explanation:

first find the rate of 1 year. 960/3 = 320.

then find what % of 4,000, 320 is.

8%


Mario sells men's and women's shoes in his shoe store. He is considering selling children's
shoes. He randomly selected 120 customers to participate in a survey. The survey results are
shown below.
• 42 customers said they would shop for children's shoes
• 78 customers said they would not shop for children's shoes
Mario has an average of 440 customers per month. Based on the survey results, which
value is the best estimate of the number of customers that would shop for children's shoes
during an average month?
А
120
B
154
C
220
D
286

Answers

Answer:

154

Step-by-step explanation:

42 is 35% of 120, and 78 is 65% of 120. Thus 35% of 440 is 154 people who would shop for shoes.

Please like and thank, hope this helps.

The number of customers that would shop for children's shoes during an average month is 154.

Number of randomly selected customers = 120

Number of customers willing to shop for children's shoes = 42

42 is what percentage of 120?

As we know that percentage is the value per hundred.

So, (42/120) *100 = 35%

So, 42 is 35% of 120.

This means that 35% of customers are willing to shop for children's shoes.

Average customers per month = 440

35% of 440 = (35*440)*100

35% of 440 =154

So, the number of customers that would shop for children's shoes

during an average month =154.

Therefore, the number of customers that would shop for children's shoes during an average month is 154.

To get more about the percentage visit:

https://brainly.com/question/24304697

Select the correct answer.
Simplify the following expression.

Answers

this is the answer i believe!! (p.s. cymath is a great website to use for this kind of stuff:)

Which THREE sets of angles can be used to construct triangles? A) 50°, 65°, 65° B) 45°, 50°, 85° C) 20°, 60°, 100° D) 30°, 60°, 70° E) 20°, 45°, 120°

Answers

Answer:

A) 50°, 65°, 65°

B) 45°, 50°, 85°

C) 20°, 60°, 100°

Step-by-step explanation:

To see if the angles can be used to construct triangles, you have to check if the degrees add up to 180 (Since the degrees in a triangle always have to add up to 180 degrees).

A) 50° + 65° +  65° = 180° (Good!)

B) 45° +  50° +  85°  = 180° (Good!)

C) 20° +  60° +  100° = 180° (Good!)

D) 30° +  60° +  70° = 160° (Bad!)

E) 20° +  45° +  120° = 185° (Bad!)

PLZ HELPPP

Use the distributive property to fill in the blanks below. ​

Answers

Answer:

4 - 3

Step-by-step explanation:

fill in the blanks with the numbers you have left. you dont need the 5 since its already there :D

Find a pair of positive integers for and b in these questions
18 + 65 = 1865
23 + 7 = 2314

Answers

Answer:

a=100

b=1

Step-by-step explanation:

18a+65b=1865

23a+7b=2314

We need to make one of the variables equal to the other

So...

The LCM for 65 and 7 is 455

So multiply 7 with 18a+65b=1865

and Multiply 65 with 23a+7b=2314

7 times 18a+65b=1865 is 126a+455b=13055

65 times 23a+7b=2314 is 1495a+455b=150410

So Subtract 126a+455b=13055 and 1495a+455b=150410

So 1369a=137355

Divide:

Which is about 100 (The actual value is 100.3323594)

Thus a=100

Substitute:

b=1

Hope this helps!

(The answer is rounded)

3x-17=x+3 in form ax+b=c

Answers

Answer:

20/3 or 6.66

Step-by-step explanation:

3x-17=x+3      3x=20+x      x=20/3+x      20/3      6.66---

how do you write 100 s a fraction, mixed number, or whole number

Answers

In fraction 100/100
In mixed number 10 0/10
Simplest form = 100

I hop this helps! :)

Does (–2, –2) make the equation y = x true?

Answers

Answer:

Yes.

Step-by-step explanation:

According to the given co-ordinate.

(x,y) = (-2,-2)

i.e. x = -2, y = -2

So, We can say that x = y = -2.

Hence, the given co-ordinate makes the equation y = x true.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Determine the intercepts of the line.

Answers

Step-by-step explanation:

The x-intercept is the value of x when y is 0

So you need to substitute:

0 = 4x + 7

-7 = 4x

-7/4 = x

(-7/4,0)

Similarly, the y-intercept is the value of y when x is 0

So:

y = 4x + 7

y = 4(0) + 7

y = 7

(0,7)

Three children each contributed toward a birthday present for their mother. The oldest contributed three times as much as the youngest, while the second oldest contributed 50 cents more than the youngest. If the present costs $10.50, how much did each contribute?

Answers

Answer:

Youngest child: $2

oldest child: $6

Second oldest: $2.50

Step-by-step explanation:

Youngest child= x

oldest child= 3x

Second oldest: .50+x

x+3x+.50+x=10.5

5x+.50=10.5

    - .50= - .50

5x=10

divided both numbers by 5 and x is equal to 2. So, the youngest child is $2 and you add .50, which is $2.50, and thats for the second child. Last, you do 2 times 3 equals $6 which is the oldest child.

The youngest contributed $1.90, the oldest contributed $5.27, and the second oldest contributed $2.85.

Three children each contributing to their mother's birthday present. The eldest gave three times more than the youngest, while the second oldest contributed 50 cents more. If the gift costs $10.50 which is given in the question.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Let the youngest sibling contribute the amount of x dollars

As per the given information,

3x + 0.50 x + x + x = 10.50

Apply the addition operation,

4.50x = 10.50

x = 10.50 / 6.50

Apply the division operation to get

x = 1.90

So the youngest sibling contributed = $1.90

The oldest contributed 1.90 × 3 = $5.27

And the second oldest contributed (1.50)1.90= $2.85

Therefore, the youngest contributed $1.90, the oldest contributed $5.27, and the second oldest contributed $2.85.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ5

Put the trinomial x^2+8x+14 into (x+a)^2+b form where a and b can be positive or negative. Thanks!

Answers

(x + a)^2 + b form can be achieved by a method known as completing the square.

Step 1: Divide the b term by 2 and square it

8 / 2 = 4

4^2 = 16

Step 2: Add and subtract 16 from the expression

---Adding 16 creates a perfect square trinomial between x^2 + 8x + 16. But, if we add 16, we also need to subtract it. So, we will subtract 16 from our c term, 14.

x^2 + 8x + 16 + 14 - 16

x^2 + 8x + 16 - 2

Step 3: Factor the perfect square trinomial

(x^2 + 8x + 16) - 2

(x + 4)(x + 4) - 2

(x + 4)^2 - 2

Answer: (x + 4)^2 - 2

Hope this helps! :)

Answer this QUICK!!! 60 POINTS!!!!

Answers

Answer:

Step-by-step explanation:

top right

Answer:

Its C (upper right)

Step-by-step explanation:

Work out the size of angle x.

Answers

Answer:

65°

Step-by-step explanation:

x=180°-40°-75°

x=65°

please help anybody hm​

Answers

Answer:

its C

Step-by-step explanation:

im smart

The answer is C I just took the test right now

A tree trunk can be thought of as a cylinder with a height of 1.7 M if the tree trunk has a diameter of 60 cm what is its volume in metres cubed give your answer to 2 decimal place.

Answers

The formula for the volume of a cylinder is pi * radius squared * height, or πr^2h.

To find the radius of the cylinder, take the given diameter (60 cm) and divide it by 2. 60 / 2 = 30 cm.

Now we need to either find the height in centimeters or find the radius in meters. Because a centimeter is 1/100 of a meter, we multiply the radius by 100 to get the radius in meters.

We also must square the radius. So 30 cm multiplied by itself equals 900 cm.

Radius: 900 / 100 = 9 m

We have to square the radius before plugging it into the equation because it would mess up the numbers if we didn't (0.3 m squared is 0.09 m, which is very small).

Now we can plug these values into the formula for the volume of a cylinder.

π * r^2 * h = π * 9 m * 1.7 m = ~48.066 cubic meters

Rounded to two decimal places is 48.07 cubic meters.

The volume of the tree trunk is about 48.07 cubic meters.

Question 7
1 pts
Select all sets of points that have a slope m = 2.
(4, 2) and (2,-2)
O (2, -3) and (1,5)
(15, 12) and (5, -8)
(6,5) and (-1,-9)
(2, -3) and (-3,-2)

Answers

Answer:

(4,2) and (2,-2)

Step-by-step explanation:

using m=y2-y1/x2-x1

m= -2-2/2-4=-4/-2

therefore,

m=2

Please help! With steps included :)

Answers

Answer:

Top question: -7°

Bottom question : 18°

Step-by-step explanation:

Top question:

The base angles of am isosceles triangle are congruent:

x + 46 = 39 because the base angles of an isosceles triangle are congruent

x + 46° = 39°

x = -7°

Bottom question

The missing angle is 3x because the base angles are congruent

To find the value of x, we must add all the angles inside the triangle, and find the value of x that makes it equal to 180°

3x + 3x + 4x = 180°

10x = 180°

x = 18°

Sorry for the late post!

-Chetan K

PLEASE HELP!! :( I will mark brainliest!

Answers

Answer:

14 give me that badge :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

14 faces

In science class, the girl to boy ratio is 3 to 7.
If there are 50 students total in the class, how many are boys?

Answers

Answer:

There are 35 boys in the class.

Step-by-step explanation:

Girls to Boys ratio = 3:7

Total number of students in class = 50

Let total number of girls be '3x' and total number of boys be '7x'

Total number of girls + Total number of boys = Total number of students

3x + 7x = 50

10x = 50

x = 50/10

x = 5

[tex] \therefore [/tex]

Total number of girls = 3 × 5 = 15

Total number of boys = 7 × 5 = 35

given a1 = -1 and a4 = -8 what is a10

Answers

Answer:

The nth term of the sequence is given. Find the first 4 terms, a10, and a15 2 What is the first term? a1 = (Type an integer or a simplified fraction.) What is the second term? a2 = (Type an integer or a simplified fraction.) What is the third term? a,-| (Type an integer or a simplified fraction.) What is the fourth term? a4(Type an integer or a simplified fraction.) What is the tenth term

An auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, two methods to collect data are proposed.

Method A: 10 similar police cars owned by a city are selected. After the cars are filled with a fresh tank of gasoline, researchers randomly select 10 of the cars to receive the additive, while the other 10 do not receive the additive. The gas mileage for each car is recorded in miles per gallon.

Method B: 20 customers at an auto-parts store receive free coupons for the additive and are asked to use it with their next fresh tank of gasoline. The customers then report their gas mileage with the fuel additive.

Which method describes an experiment?

Method B is an experiment because every car receives the additive.
Method A is an experiment because the additive is used with a new tank of gasoline.
Both methods are experiments because the additive is used in a new tank of gas in both methods.
Method A is an experiment because random assignment determines which cars receive the additive and which cars do not.

Answers

Answer:

Method A is an experiment because random assignment determines which cars receive the additive and which cars do not.

Hit brainliest if this was helpful :)

Method A is an experiment because random assignment determines which cars receive the additive and which cars do not.

What is experiment?

An experiment is a procedure carried out to support or refute a hypothesis, or determine the efficacy or likelihood of something previously untried. Experiments provide insight into cause-and-effect by demonstrating what outcome occurs when a particular factor is manipulated.

What is mileage?

Mileage tells us how many number of miles travelled or covered.

According to questions, an auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, two methods to collect data are proposed.

In Method A: 10 similar police cars owned by a city are selected. After the cars are filled with a fresh tank of gasoline, researchers randomly select 10 of the cars to receive the additive, while the other 10 do not receive the additive. The gas mileage for each car is recorded in miles per gallon.

In Method B: 20 customers at an auto-parts store receive free coupons for the additive and are asked to use it with their next fresh tank of gasoline. The customers then report their gas mileage with the fuel additive.

Based on the questions, Method A is an experiment because random assignment determines which cars receive the additive and which cars do not. Method B does not report the mileage before fuel additive.

Hence, we can conclude that Method A is an experiment because random assignment determines which cars receive the additive and which cars do not.

Learn more about experiment  here:

https://brainly.com/question/1759863?referrer=searchResults

#SPJ2

Can any one explain this question worth points! plz explain if you can

Answers

Answer:

x = 31

Step-by-step explanation:

The given angles are supplementary and their sum is 180 degrees

5x - 16 + x + 10 = 180 add like terms

6x - 6 = 180 add 6 to both sides

6x = 186 divide both sides by 6

x = 31

M is directly proportional to r³ when r=4, m=160.work out the value of r when m=20

Answers

Die haben sich auch schon in den nächsten Jahren und in den letzten Wochen nicht so viel 5=5

10(x-2)+(6x-6)
Linear equations

Answers

Answer:

that's my answer

Step-by-step explanation:

16/60

please comment if I'm wrong

The answer to you problem is 2(8x - 13)

The school purchased 35 tickets for the ballet. Adult tickets were $10, and student tickets were $7. The total cost was $266.
If x represents the number of adult tickets purchased, and y represents the number of student tickets purchased, which system of equations represents this situation?

Answers

Answer:

Not too sure, but maybe this is what you need.

(Students = S, Adults = A) So, Ax + Sy = 266?

Or

x10 + y7 = $266

Step-by-step explanation:

I think the second one is the most accurate one, ignore the first equation. T^T

Other Questions
que tiempo hace hoy?Hoy es lunesHace calor! John a team member has completed e0 agile for beginners he wants to contribute to tcs agile vision. Find the complex zeros of the following polynomial function.f(x)=[tex] {x}^{3} - 1[/tex]Make sure to simplify your answer Type an exact answer, using radicals and i as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed. The complex zeros of f are: which christmas song is the best-selling recording of all time? divide g by 9, then triple the result which of the following hormones produced in the anterior pituitary stimulates the production of progesterone and estrogen by ovaries and is needed for ovulation? Find 66.9% of 160.6. Round to the nearest thousandth. Plzzzz help asap This table shows input and output values for a linear functionf()What is the positive difference of outputs for any two inputs thatare three values apart?Enter your answer in the box. Newtons law of cooling states that for a cooling substance with initial temperature t0, the temperature t(t) after t minutes can be modeled by the equation t(t)=ts+(t0ts)ekt, where ts is the surrounding temperature and k is the substances cooling rate. A liquid substance is heated to 80c. Upon being removed from the heat, it cools to 60c in 15 min. What is the substances cooling rate when the surrounding air temperature is 50c? round the answer to four decimal places. 0. 0687 0. 0732 0. 0813 0. 872. Arab Empire What was life like in the Arab Empire Our hypothesis here are vaccinations for all of the following except __________Question 10 options:hepatitis C.chicken pox.tuberculosis.mumps. Evaluate the following statement:The Lock-and-Key Model is analogous to two puzzle pieces fitting together. TheInduced-Fit Model is analogous to a hand slipping into a glove.a. Trueb. False Aline that includes the point 5. 10) has a siope of 1. What is its equation in siope-interceptte your answer using integers, proper fractions, and improper fractions in simplest for PLS HELP ILL MArk BRAINLIEST!! A diver descends to a depth of 25.6 feet relative to sea level. How many feet must the diver ascend to reach sea level?0.6 feet25 feet25.6 feet256 feet The South opposed the election of a Republican because the South thought they IN SPANISH, complete the dialogue below between Ana and Roberto. Write what Roberto says.Roberto's speech should include:a) an appropriate greetingb)asking Ana's namec) expressing pleasure at meeting Anad) asking about Ana's well-beinge) bidding Ana farewellRoberto: A. ______________________________________________________________________Ana: Hola!Roberto: Me llamo Roberto.RESPONSE B. __________________________________________Ana: Mi nombre es Ana. Lionel: RESPONSE C. ______________________________________________________________Ana: Mucho gusto Roberto. Roberto: RESPONSE D. ______________________________________________________________Ana: Estoy bien, gracias. Y t?Roberto: Estoy muy bien. RESPONSE E ______________________________________________________Ana:Hasta luego.Write what Roberto says for A. *2 pointsWrite the response that Roberto gives for RESPONSE B. *2 pointsWrite the response that Roberto gives for RESPONSE C. *2 pointsWrite the response that Roberto gives for RESPONSE D. *2 pointsWrite the response that Roberto gives for RESPONSE E. *2 points what is the main idea of the section headed the writing of the declaration of independence When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is the value of n. The blueprint for Moreno's living room has a scale of 2 inches equals 3 feet. The family wants to use a scale of 1 inch equals 2 feet. What is the width of the living room on the new blueprint? (The width is 12in)