In δfgh, g = 64 cm, ∠f=131° and ∠g=47°. find the length of f, to the nearest centimeter.

Answers

Answer 1

The length of f = 66 centimeters

What is the sine rule for triangle?

It is a law that express a relationship between side length of triangle and their opposite angles.

If ABC is triangle, then sine rule can be expressed as

BC/ sin A = AB /sin C = AC /sin B

How can we determine the length of f of the above triangle?

Given, a triangle fgh where angle ∠ f = 131° and ∠g = 47°

also, side length, g = 64 cm

the remaining angle ∠ h = 180° - (131°+47°)

∠h = 2°

this is because angle sum of three angle for a triangle is 180 degrees.

what is the length of f?

we know that Δf g h has three side f g, g h and f h.

we denote the side f g = h, side g h = f and side f h = g

according to the sine rule for a triangle

h/ sin h = f /sin f = g /sin g

f/ sin f = g/ sin g

f / sin 131° = 64 / sin 47°

f = (64 × sin 131°) / sin 47°

f = 66 cm

To know more about sine rule of triangle visit:

https://brainly.com/question/22288720

#SPJ4


Related Questions

b. How should Kiran change the quantities that he used
so that his smoothie tastes
just like Clare's?

Answers

Answer:

Kiran's smoothie would be more chocolatey than Clare's. All ingredients are doubled, but there is an extra teaspoon of chocolate syrup in his smoothie.

Step-by-step explanation:

(aryan)

What is 2x+2y if x+2y=6 and x+y=10

Answers

X=-2y+6
-2y+6+y=10
-y+6=10
-y=4
y=-4
X=14

2(14) + 2(-4)=28- -8=28+8=36

Answer is 36 I think

What are the medians and modes??

Answers

Answer:

The median is 17 and the mode is 19

Step-by-step explanation:

Please helpppppp
No links or I will report ❤️

Answers

r = 4.8
d = 9.6
C = 30.1592895
A = 72.3822947
that’s for number one i’ll do the rest in a second and round last two to 30 and 72

Where am I to put the points? help?

Answers

we know that a has to be a number less than 0 and c has to be a number greater than 0. so a has to go before the number 0 and b can go before or after 0, as long as it satisfies the equation

Choose the correct trig ratio you would use to solve for the missing piece of the right triangle:

Answers

It would be sin since u are solve for the adjacent side

Mrs. Sanders has three grandchildren, who call her regularly. One calls her every three days, one calls her every four days, and one calls her every five days. All three called her on December 31, 2016. On how many days during the next year did she not receive a phone call from any of her grandchildren

Answers

By probability, she will not receive a phone call from any of her grandchildren after 146 days

How does probability affect our lives?

In those circumstances, probability helps in assessing the likelihood of an event. Probability plays a significant role in daily life. political strategy analysis, blood type determination, sports and gaming strategies, insurance buying or selling, online shopping, and online gaming.

There is a [tex]\frac{2}{3}[/tex] chance that the first child won't call, a [tex]\frac{3}{4}[/tex] chance that the second child won't call, and a [tex]\frac{4}{5}[/tex] chance that the third child won't call on any given day. There is a [tex]\frac{2}{3} *\frac{3}{4} * \frac{4}{5} = \frac{2}{5}[/tex] chance that no child calls her on a randomly selected day.

When we consider a sample of 360 days, in particular, this "unrigorous" reasoning becomes rigorous due to linearity of expectation; over the first 360 days, 360 * 2/5 = 144 days will pass without a phone call. Now, we just check the remaining days. On days $361 and $362, no one calls her. On days 363 and 364, she receives calls from children every three and four days, respectively. On day 365, she receives calls every five days. Therefore, to get our answer of 146, we two more days in  144.

To know more about probability visit:-

brainly.com/question/11234923

#SPJ4

Match each function with its graph.

Answers

Answer:

66) C

67) D

68) A

69) B

Step-by-step explanation:

figure x out first for example in q 66

x=-1 , x =5

then look at the graph which graph pf those meets with those points and soo on.

50 Points!
Which linear equation shows a proportional relationship?

Answers

Answer: y=3/ 4x

Step-by-step explanation: in the linear equations y= Kx shows the proportionality relations . Where k is the proportionality constant which can be any number . x an y are the variables, so according to this answer will be y=3/

Answer:

y=3/4x

Step-by-step explanation:

Let's first define some words;

Proportional: If a line or a ray through the origin it proportional

Non proportional: If a line or ray that does not pass through the origin

Origin: Initial point or the starting point

Now we have define the words now let's graph these points by using Desmos.

Graphs are shown below.    

Base on the graphs below we can see that;

y=3/4x pass through the origin which means the that this linear equation is proportional.

RevyBreeze

Select all the true equations.

Group of answer choices


5+0=0


LaTeX: 15\cdot0=015 ⋅ 0 = 0


1. 4 + 2. 7 = 4. 1


LaTeX: \frac{2}{3}\cdot\frac{5}{9}=\frac{7}{12}2 3 ⋅ 5 9 = 7 12


LaTeX: 4\frac{2}{3}=5-\frac{1}{3}

Answers

The true equations are - 15·0 = 015·0, 1.4 + 2.7 = 4.1, and 4(2/3) = 5-(1/3).

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The first equation is -

5 + 0 = 0

This equation is false, as if 0 is added to any number, the result is the same number itself, and not 0.

The second equation is -

15·0 = 015·0

Any number multiplied by 0, gives the result as 0.

In the above equation LHS = RHS = 0.

Hence, this equation is true.

The third equation is -

1.4 + 2.7 = 4.1

Solving LHS -

= 1.4 + 2.7

= 4.1

So, LHS = RHS and hence, this equation is true.

The fourth equation is -

(2/3) · (5/9) = 7/12

Solving LHS -

= (2/3) × (5/9)

= 10/27

Here, LHS ≠ RHS.

Hence, this equation is false.

The fifth equation is -

4(2/3) = 5-(1/3)

Solving LHS -

4(2/3) = 14/3

Solving RHS -

= 5 - 1/3

= (15 - 1)/3

= 14/3

Therefore, LHS = RHS and hence, this equation is true.

To learn more about equation from the given link

https://brainly.com/question/17145398

#SPJ4

1.) What is the length of x?
2.) What is the area of the right triangle inside of the parallelogram?

Answers

Answer:

The area of x is 4

The area of the right triangle is 6

Step-by-step explanation:

The Pythagorean Theorem can be used when dealing with right triangles. So, if we use the equation a^2 + b^2 = c^2, we can find that 3^2 + x^2 = 5^2 or 9 + x^2 = 25. If we calculate, we can find that x is equal to 4. Now if we multiply by 3 and divide by 2, we can get the answer of 6 as the area of the right triangle.

The probability of drawing a Jack, a Queen or a heart is _

Answers

Pretty sure the answer is: 3/13 or 23.1%

Lisa sold 81 magazine subscriptions, which is 27% of her class's fundraising goal. How many magazine subscriptions does her class hope to sell?

Answers

Since 81 will be 27 percent of the total number of magazines you will find "81 is 27 percent of what number?"

81 is 27 percent of 300.

Therefore, her class hoped to sell 300 magazines in total!

Makayla and Addison are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Makayla is 290 miles away from the stadium and Addison is 345 miles away from the stadium. Makayla is driving along the highway at a speed of 40 miles per hour and Addison is driving at speed of 51 miles per hour. Let MM represent Makayla's distance, in miles, away from the stadium tt hours after noon. Let AA represent Addison's distance, in miles, away from the stadium tt hours after noon. Write an equation for each situation, in terms of t,t, and determine the interval of hours, t,t, for which Makayla is closer to the stadium than Addison.

Answers

The linear functions for each situation are given as follows:

Makayla: 290 - 40x.Addision: 345 - 51x.

Makayla is closer than Addision when:

x < 5.

How to define the linear functions?

The linear functions in slope-intercept format for this problem are given as follows:

y = mx + b.

In which:

m is the slope, representing the velocity, as a negative as they are getting closer to the stadium with time.b is the intercept, representing the initial distance.

Hence the functions are defined as follows:

Makayla: 290 - 40x.Addision: 345 - 51x.

Makayla is closer when:

290 - 40x < 345 - 51x

11x < 55

x < 5.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!

Answers

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
What the person above me said is correct

can someone answer this question really quick

Simplify the expression by combining like terms.

43a−12b+13a+52b
Enter your answer as an expression, like this: 42x+53

Answers

Answer:

56a+40b

Step-by-step explanation:

43a plus 13a is 56a, -12b + 52b is 40b, together it's 56a+40b

2÷ 12/5=
help please

Answers

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex]2 \div \frac{12}{5} \\ = 2 \times \frac{5}{12} \\ = \frac{10}{12} \\ = \frac{5}{6} \\ = 0.83[/tex]

Answer: 5/6

Step-by-step explanation: Another way of writing this problem is 2/1 ÷ 12/5. To solve this division problem, you must multiply the recipricol of the divisor. The recipricol of 12/5 is 5/12, so the new expression will look like this: 2/1 x 5/12. You can solve this by multiplying the numorators and then multiplying the denonimators to get 10/12. The simplified version of 10/12 can be expressed as 5/6.

he owners of a recreation area filled a small pond with water in 180 minutes. The pond already had some water at the beginning. The graph shows the amount of water (in liters) in the pond versus time (in minutes). Find the domain and the range of the function shown. Amount of water (liters) y1503004506007509001050120013501500x204060801001201401601800 Time (minutes)

Answers

The domain and range of the the function are -

Domain → [0, 180]

Range → [600, 1050]

What is the domain and range of function?

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.

Given is that the owners of a recreation area filled a small pond with water in 180 minutes. The pond already had some water at the beginning. The graph {attached below} shows the amount of water (in liters) in the pond versus time (in minutes).

Domain is the set of all possible {x} values. We can write -

Domain → [0, 180]

Range is the set of all possible {y} values. We can write -

Range → [600, 1050]

Therefore, the domain and range of the the function are -

Domain → [0, 180]

Range → [600, 1050]

To solve more questions on domain and range, visit the link below -

brainly.com/question/28135761

#SPJ1

simplify : 6/7 of 5/9 ÷ 10/21​

Answers

Answer:

Step-by-step explanation:

Don’t know

i got 1.49 or 3/2 *\(^o^)/*

help!
C + -328 = 477

Answers

the answer for c would be 805

the answer is

c = -119

9. Which equation is represented by the table?
X
0
1
2.
3
у
40
20
10
5
a. 40(2)
b. 40(3)
I

Answers

Answer:

#2.

Step-by-step explanation:

Y=1/3(x-6)^2 standard form

Answers

Answer:

Step-by-step explanation:

Answer: Y = 1/3x^2 - 4x + 12

Step-by-step explanation:

Hope this helps, sorry I don't have an explanation...

Choose two statements that are true for this expression.


6x3 -8x^2- 40/y+21

Answers

Observing the given equation, The answer is The degree of polynomial is 3 and the equation has variables 'x' and 'y'.

What do you mean by equation?

An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two expressions separated by an equals sign (=), for example, 2 + 2 = 4. Equations can be used to express relationships between different quantities and can be used to solve problems in many areas of mathematics and science. Equations can also be represented graphically, and they can be manipulated or transformed to make solving them easier.

What is degree of polynomials?

A polynomial is a mathematical expression that is made up of a sum of powers in one or more variables. The degree of a polynomial is the highest power of the variable(s) present in the polynomial. For example, in the polynomial expression 3x^2 + 2x - 5, the highest power of x is 2, so the degree of the polynomial is 2. A degree 0 polynomial is a constant polynomial, which is just a number. The degree 1 polynomial is a linear equation, and degree 2 polynomial is a quadratic equation. In general, the degree of a polynomial can give an idea about the behavior of the polynomial function. As the degree of a polynomial increase, the shape of the function become more complex.

[tex]6x^3 - 8x^2 -\frac {40}{y} +21[/tex]

The degree of polynomial is 3.

The equation has variable 'x' and 'y' .

To learn more about equations visit:

https://brainly.com/question/29657983

#SPJ4

How do you find area?

Answers

Answer:

You do length time width

Finding area will depend on what shape you need the area for. For a specific shape like a rectangle you would use length x width. For something like a triangle you would take half the base times the height. Or if you are finding the area under a curve you may use an approximation method like Riemann sums, or use an integral. It really depends on what you need the area for. If you were more specific with your question, I could try an help you better. Any questions just comment :)

Jules is using a spinner in a game. She needs the spinner to land on a 3 to win. What is the probability that she will NOT land on a 3 and NOT win?
A.1/4
B.1/3
C.1/2
D.3/4

Answers

The answer is B.1/3 hope this helps

Answer:

since a fidget spinner has three sides it should have a 1/3 chance

Step-by-step explanation: im not sure tho

Find the value of each expression.
a. 1/4 • (-12)
b. -1/3 • 39
c. (-4/5) • (-75)
d. -2/5 • (-3/4)
e. 8/3• -42

Answers

By using simple arithmetic and using calculator we get:

a. 1/4 • (-12) = (-3)

b. -1/3 • 39 = -13

c. (-4/5) • (-75) = 60

d. -2/5 • (-3/4) = 3/10 = 0.3

e. 8/3• -42 = -56

What is arithmetic?

Arithmetic is a branch of mathematics that deals with the manipulation of numbers and their properties. It is the study of numbers and the operations that can be performed on them, such as addition, subtraction, multiplication, and division. Arithmetic also includes concepts such as fractions, decimals, and percentages. The study of arithmetic is fundamental to many other branches of mathematics, including algebra, geometry, and calculus, as well as many practical fields like finance, engineering, and computer science.

What is calculator?

A calculator is a device that performs mathematical calculations. It can be a handheld device or a software program on a computer or mobile device. Calculators typically have buttons or keys for performing basic arithmetic operations, such as addition, subtraction, multiplication, and division, as well as more advanced functions like trigonometry and logarithms. Some calculators also have the ability to store and recall numbers, perform conversions between units of measurement, and perform other specialized functions.

To know more about arithmetic visit:

https://brainly.com/question/11559160

#SPJ1

Dae-Hyun drew a picture of a cruise ship that he saw docked at Port Canaveral. He used the scale shown below.
1/4 inch : 32 feet

His picture is 9.25 inches long.
What is the length of the actual cruise ship?
296 feet
592 feet
888 feet
1,184 feet

Answers

Answer: 592

Step-by-step explanation:

I did the test and i got it right :)

Answer:

592

Step-by-step explanation:

click the crown by my name

Brigid has a 25-foot ladder she will use to paint the side of her house. What angle does the ladder need to make with house so she can reach 18 feet up the side of her house

Answers

The ladder needs to make an angle of approximately 54.7 degrees with the house in order for Brigid to reach 18 feet up the side of the house.

To determine the angle the ladder needs to make with the house, we can use the tangent function.

First, we'll need to determine the opposite side (the height that the ladder needs to reach) and the adjacent side (the distance from the base of the ladder to the house) of the triangle formed by the ladder and the house.

Opposite side = 18 feet

Adjacent side = 25 feet

We can then use the tangent function to find the angle:

tan(angle) = opposite / adjacent

Solving for the angle, we get:

angle = arctan(18/25) = approximately 54.7 degrees

Therefore, the ladder needs to make an angle of approximately 54.7 degrees with the house in order for Brigid to reach 18 feet up the side of the house.

To learn more about the triangle, visit:

brainly.com/question/2773823

#SPJ4

1. You have cup of flour in a bin and
7
-
2
8
-
3
cup of flour in a bag. To determine
whether you have enough flour for a
3
recipe that needs 1 cups of flour,
4
should you use an estimate, or is an
exact answer required? Explain.

Answers

The exact value is required. In this case, they don't have enough for 1 3/4 cups of flour.

How to express the fraction?

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.

From the information, the person had 2/3 cup of flour in a bin and 7/8 flour was still in the bag. In this case, it should be noted that they also wanted to know of they had enough for 1 3/4 cups of flour.

This will be calculated thus:

= 2/3 + 7 / 8

= 16/24 + 21/24

= 37 / 24.

= 1 13 / 24

This is not enough for 1 3/4 cups of flour.

Learn more about fractions on:

brainly.com/question/78672

#SPJ1

The radius of a circle is 10 inches. What is the area of a sector bounded by a
180° arc?
r=10 in
180°
Give the exact answer in simplest form.
square inches

Answers

The answer is 180/100

Answer:

25/2pi

Step-by-step explanation:

stg that is right

Other Questions
Subtract: (450 - 8a + 7b) - (5a - 2b) A direct object is a noun, pronoun, or word group that tells who or what receives the action of the verb. EXAMPLES Alexander Graham Bell invented the telephone.[What did Bell invent 7. You have $2 worth of quarters, dimes, and nickelsand you have 12 total coins. How many of each do youhave? PLS HELP ME I AM TIMED PLS and thank you! pls get it correct.Read the paragraph.Julians fifteen-minute commute to work included countless potholes that jarred his car. The parking lot was overcrowded, and Julians car had endured a few fender benders. Last week, Julians young neighbor accidentally dented the cars hood with a poorly aimed baseball. The car had seen better days.This paragraph is considered a cause-and-effect text because itdescribes how the car became damaged.explains how Julian drives his car.compares Julians car to others in the lot.criticizes the neighbor for being careless. 13. You can learn a great deal about how your own beliefs, assumptions, background, culture, and other influences affect how you _________ what others say and how you interact with them. The peoples of the Aztec Empire created a 365-day calendar based on theiradvanced knowledge ofA. astronomy and mathB. architecture and mathC. astronomy and architectureD. medicine and architecture In the poem Heart to Heart by Rita Dove, what does the heart represent? Not the qualities of the heart, but what does it mean and represent? PLEASE ANSWER ASAP!The question is on the screenshot why was quaid e azam called an ambassador of the hindu muslim unity Assign a pointer to any instance of searchChar in personName to searchResult #include iostream 2 #include 3 using namespace std; 4 5 int main() 6 har personName [190]"Albert Johnson" 7 char searchChar 1 test passed All tests passed char* searchResult nulipt r; 10 searchChar-J'; IYour solution goes here 12 13 if (sea rc h Result cout"character ! nullptr) { found." endl; 15 16 else 17 18 19 20 return 0; 21 cout what is the correct meaning of the word decode Amare is buying museum souvenirs. He buys 3 animal figuresand 6 bookmarks for $33. Later he goes back to buy 3 morefigures and return 3 of the bookmarks, spending another $6.In the system, fis the price of a figure and b is the priceAl Pistoof a bookmark.3f + 6b = 333f-3b = 6How much does each figure cost? How much does each bookmark cost? Start with a population of 500 organisms, a growth rate of 2, and a growth period to achieve this rate of 6 hours. Assuming that none of the organisms die, this would imply that this population would double in size every 6 hours. Thus, after allowing 6 hours for growth, we would have 1000 organisms, and after 12 hours, we would have 2000 organisms.Write a program that takes these inputs and displays a prediction of the total population.MY PROGRAM:organisms=int(input("Enter the initial number of organisms:"))growth=float(input("Enter the rate of growth [a real number > 1]:"))numHours=int(input("Enter the number of hours to achieve the rate of growth:"))totalHours=int(input("Enter the total hours of growth:"))population = organismshours=1while numHours < totalHours: population *= growth hours += numHours if hours >= totalHours: breakprint(" The total population is ", population)My program gives the correct answer for the original problems numbers, but when I run it through our test case checker it comes back as 3/4 correct.. the problem test case being [organisms 7, growth rate 7, growth period 7, total hours 7]... can't see where I'm going wrong... Select the correct answer. Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. g ( x ) = 18 ( 1 3 ) x + 2 Which statement correctly compares the two functions on the interval [-1, 2]? A. Only function f is increasing, but both functions are negative. B. Both functions are increasing, but function g increases at a faster average rate. C. Both functions are increasing, but function f increases at a faster average rate. D. Only function f is increasing, and only function f is negative. a unilateral choice is one that is made with the active involvement of the other party. A line is parallel to y = 4x + 11 andintersects the point (-2, 4). What is theequation of this parallel line?y = [?]x + [ ]Hint: Use the Point-Slope Form: y - y = m(x x1)Then write the equation in slope-intercept form.Enter Which statement best describes this interview question?Do you like sports?This is a strong question because it asks an opinion of the interviewee.This is a strong question because it will inspire discussion.This is a weak question because the answer is obvious.This is a weak question because the answer is likely one word, yes or no. How to calculate monthly payment on a loan Formula? What is the life cycle of an idea, from the original idea through, in some cases, its actual implementation Under the right conditions aluminum will react with chlorine to produce aluminum chloride.2 Al + 3 Cl2 - 2 AICI3How many grams of aluminum are needed to react completely with 11.727 liters of chlorine?CORRECT ANSWER IS 9.42, but what are the steps to get that answer ?