In ΔDEF, e = 2.7 inches, ∠F=49° and ∠D=58°. Find the length of f, to the nearest 10th of an inch.

Answers

Answer 1

Answer:2.1

Step-by-step explanation:

\text{Draw a diagram:}

Draw a diagram:

D

E

F

e = 2.7

f = ?

49°

58°

\text{A.S.A.}\rightarrow \text{Law of Sines}

A.S.A.→Law of Sines

\frac{a}{\sin A}=\frac{b}{\sin B}

sinA

a

=

sinB

b

\text{Find other angle:}

Find other angle:

\angle E=180-49-58=73^{\circ}

∠E=180−49−58=73

D

E

F

e = 2.7

f = ?

49°

58°

73°

\frac{f}{\sin 49}=\frac{2.7}{\sin 73}

sin49

f

=

sin73

2.7

f=\frac{2.7\sin 49}{\sin 73} \approx 2.131 \approx 2.1

f=

sin73

2.7sin49

≈2.131≈2.1


Related Questions

1+2 charliedamelioo0

Answers

Answer:

eEEE

Step-by-step explanation:

Rewrite each equation in​ slope-intercept form, if necessary. Then determine whether the lines are perpendicular. x = 9 y = -1 Are the lines​ perpendicular?

Answers

Answer:

[tex]x = 9[/tex] and [tex]y = -1[/tex] are perpendicular to each other.

Step-by-step explanation:

From Analytical Geometry we know that horizontal lines are of the form:

[tex]y = a[/tex], [tex]\forall \,a\in\mathbb{R}[/tex] (Eq. 1)

Where:

[tex]y[/tex] - Dependent variable, dimensionless.

Which means that for all value of [tex]x[/tex] (independent variable) has [tex]a[/tex] as their image. If we write this equation in slope-intercept form, we get that:

[tex]y = 0\cdot x + a[/tex] (Eq. 1b)

Where slope is the ratio of the change in dependent variable to the change in independent variable.

Whereas vertical lines have the following one:

[tex]x = b[/tex], [tex]\forall \,b\in\mathbb{R}[/tex] (Eq. 2)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

Which means that for all value of [tex]y[/tex] (dependent variable) has [tex]b[/tex] as their image.

If we write this equation in slope-intercept form, we get that:

[tex]x = 0\cdot y + a[/tex] (Eq. 2b)

Where slope is the ratio of the change in independent variable to the change in independent variable.

In addition, we must remember that two lines perpendicular to each other observe the following relation:

[tex]m_{A} = -\frac{1}{m_{B}}[/tex] (Eq. 3)

Where [tex]m_{A}[/tex] and [tex]m_{B}[/tex] are the slopes of each line. It is quite evident that if [tex]m_{A} = 0[/tex], corresponding to a horizontal line, then [tex]m_{B}[/tex] becomes undefined, corresponding to a vertical line.

In consequence, we come to the conclusion that [tex]x = 9[/tex] and [tex]y = -1[/tex] are perpendicular to each other.

what is the pattern 2 10 40 120

Answers

Answer:

2 plus 3

Step-by-step explanation:

What is the value of y?
B
60°
12
12
ro
60°
А
12 to 60

Answers

answer 60°

solve:180°-(60°+60°)

180°-120°

60°##

50 BRAINLY POINTS PLS HELP

Answers

Answer:

Hello!!! erz here ^^

Step-by-step explanation:

I believe the answer is y = 8x - 3 (Option B)

Hope this helps!! :D

HELP IM GIVING BRAINLIEST

Answers

I’m most likely sure that d is the answer

On a number line, what is the distance between -1.75 and 2.5 help meerr​

Answers

Answer:

4.25

Step-by-step explanation:

-1.75+x=2.5

x=4.25

how many solutions does this equation have? 2x+7=2x​

Answers

Answer:

no solution

Step-by-step explanation:

Yes there is no solution because the 2x on both sides get canceled out

The solution to the system -2x+5y=-15 and 5x+2y=-6 is what

Answers

Step-by-step explanation:

−2x+5y=−15 and 5x+2y=−6

Rewrite equations:

−2x+5y=−15;5x+2y=−6

Step: Solve−2x+5y=−15for x:

−2x+5y=−15

−2x+5y+−5y=−15+−5y(Add -5y to both sides)

−2x=−5y−15

−2x−2=−5y−15−2(Divide both sides by -2)

x=52y+152

Step: Substitute52y+152forxin5x+2y=−6:

5x+2y=−6

5(52y+152)+2y=−6

292y+752=−6(Simplify both sides of the equation)

292y+752+−752=−6+−752(Add (-75)/2 to both sides)

292y=−872

292y292=−872292(Divide both sides by 29/2)

y=−3

Step: Substitute−3foryinx=52y+152:

x=52y+152

x=52(−3)+152

x=0(Simplify both sides of the equation)

Answer:

x=0 and y=−3

What type of connection can you make between markups and tips or taxes? What type of connection can you make between markdowns and discounts? Explain your answer.

Answers

Answer:

Markdowns are the same as discounts. The type of connection between markdowns and discounts is that they all take a percent off a bill or a check, which can involve subtracting and/or dividing. On the other hand, tips and taxes add money. (this is the same with markups.)

Step-by-step explanation:

XD i used this "explanation" and got it correct, it's basically exactly what that guy said but this version is more elaborate, and won't make your teachers suspect anything...xDDD

ASTRONOMY-
what would happen if the moon didn't revolve around the earth although its rotation on its axis remained the same.

WIll mark brainliest pls help

Answers

Answer:

I believe this would have a affect on the ocean as the moon controls the waves and i believe it would also affect the wind as well

Step-by-step explanation:

Solve each problem. Show all your steps
-2 1/2 dived by 1 7/8

Answers

Answer:

1.4

Step-by-step explanation:

Because everyone is always driving above the speed limit, the police implement a new policy: ticket anyone who drives 1.5 standard deviations above the average. At a major freeway, the average speed in the evening is 75 MPH. The standard deviation is 7 MPH. Michael finds himself driving at 84 MPH during an evening on this freeway. At a major street, the average speed is 43 MPH. The standard deviation is 4 MPH. Nico finds himself driving at 50 MPH. Use the information above to determine who will get a speeding ticket?

Answers

Answer:

Michael is within the speed limit regulation he won´t get any ticket

Nico is over speed limit then he should be ticket

Step-by-step explanation:

Case A conditions in a freeway evening  average speed 75 MPH the

standard deviation is 7 MPH

Then according to new policy 75 + 7* ( 1,5 )  = 75 + 10,5 = 85,5 MPH

Michael is driving at 84 MPH then he has no problem at all

Case B conditions in a major street average speed 43 MPH the standard deviation is 4 MPH

According to the new policy 43 + 4 *(1,5) = 43 + 6 = 49 MPH

Nico is driving at 50 MPH then Nico will be ticket

Which equation would you choose in order to most easily identify the vertex?
K
y = 9x4 + 6x2 +1
y = x2 + 6x + 9
y = (x + 6)(x + 9)
y = (x + 6)2 +9
a 5

Answers

Answer:

last

Step-by-step explanation:

A rectangle has a height of 5 and a width of 4x^2-2x-6.Express the area of the entire rectangle. Expression should be expanded.​

Answers

Answer:

The area of the entire rectangle is [tex]20x^2-10x-30[/tex]

Step-by-step explanation:

Area of a Rectangle

The area of a rectangle of height H and width W is:

A=H.W

The rectangle has a height of H=5 and a width of [tex]W=4x^2-2x-6[/tex]. Calculate the area:

[tex]A=5*(4x^2-2x-6)[/tex]

Expand the product:

[tex]A=20x^2-10x-30[/tex]

The area of the entire rectangle is [tex]20x^2-10x-30[/tex]

WORTH 15 POINTS
Explain why 3(x + 4) - 3(x - 5) has no solution. Choose the best response below
Place a check mark in each row to indicate
the number of solutions for each equation
below.
No
Infinitely
One
Solution Solution
Many
Solutions
5x5x+3
A. The x-terms are the same, but the constant terms are different.
B. The x-terms are different, but the constant terms are the same.
C. The x-terms are the same, and the constant terms are same.
D. The x-terms are different, and the constant terms are different.
5x+6 - 6x +5
5x+ 6 = 5x + 6
What values of a and b would make the equation shown have infinitely many
solutions?
2x+ 4 = 4x+2
2x+4 - 2x + 4
3x = ax + b
2x2x+4

Answers

Answer:

Question 2: A

Question 3: 3x=3x+0

Step-by-step explanation:

For the chart use (symbolab)  it is a site that can help you with finding out the solutions by typing in the equation and it will give you an answer if it is no solution, one solution or, infinite

Adrianna can read 7 pages in 10 minutes. At this rate,
how many pages can she read in 25 minutes?

Answers

Answer:

17.5 page in 25 minutes

Step-by-step explanation:

We can use ratios to solve

7 pages       x pages

-------------  = ----------------

10 minutes    25 minutes

7 * 25  = 10 x

175 = 10x

Divide by 10

175/10 = 10x/10

17.5 =x

17.5 page in 25 minutes

Answer:

17.5 pages

Step-by-step explanation:

What I did was I multiplied 7 by two then separately I divided seven by 2 and it gave me 3.5 so I added 14 and 3.5

A plating company has two silver plating systems with variances σ12 and σ22. You, as the manager, desired to compare the variability in the silver plating done by System-1 with that done by System-2. An independent random sample of size n1= 12 of the System-1 yields s1 = 0.038 mil and sample of size n2= 10 of System-2 yields s2 = 0.042 mil. We need to decide whether σ12= σ22 with α = 0.05. What is the rejection region?

Answers

Answer:

The  rejection region is

       [tex]F_{cal} < F_{{1-\frac{\alpha}{2}} , df_1 , df_2 }[/tex]

or     [tex]F_{cal} > F_{{\frac{\alpha}{2}} , df_1 , df_2 }[/tex]

and  

From the value obtained we see that  

[tex] F_{cal} <   F_{\frac{\alpha }{n} , df_1 , df_2 } [/tex]    Hence

    The decision rule

Fail to reject the null hypothesis

The conclusion

This no sufficient evidence to conclude that there is a difference between the two variance

Step-by-step explanation:

From the question we are told that

   The first sample size is  [tex]n_1 =  12[/tex]

   The first sample standard deviation is [tex]s_1 =  0.038 \  mil[/tex]

   The second sample size is  [tex]n_2 =  10[/tex]

   The first sample standard deviation is [tex]s_2 =  0.042 \  mil[/tex]

    The significance level is  [tex]\alpha =0.05[/tex]

The null hypothesis is [tex]H_o : \sigma^2_1  = \sigma^2_2[/tex]

The alternative hypothesis is   [tex]H_o : \sigma^2_1 \ne  \sigma^2_2[/tex]

Generally the test statistics is mathematically represented as

        [tex]F_{cal} =  \frac{s_1^2 }{s_2^2}[/tex]

=>     [tex]F_{cal} =  \frac{ 0.038^2 }{0.042^2}[/tex]

=>     [tex]F_{cal} =  0.81859[/tex]    

Generally the first degree of freedom is  [tex]df_1 =  n_1 -1  =  12-1 = 11[/tex]

Generally the second degree of freedom is  [tex]df_2 =  n_2 -1  =  10 -1 = 9[/tex]

From the F-table the critical  value of  [tex] \frac{\alpha}{2}[/tex] at the degrees of freedom of   [tex]df_1 = 11[/tex]  and   [tex]df_2 =9 [/tex] is  

         [tex]F_{\frac{\alpha }{n} , df_1 , df_2 } =  3.91207[/tex]

The  rejection region is

       [tex]F_{cal} < F_{{1-\frac{\alpha}{2}} , df_1 , df_2 }[/tex]

or     [tex]F_{cal} > F_{{\frac{\alpha}{2}} , df_1 , df_2 }[/tex]

and  

From the value obtained we see that  

[tex] F_{cal} <   F_{\frac{\alpha }{n} , df_1 , df_2 } [/tex]    Hence

    The decision rule

Fail to reject the null hypothesis

The conclusion

This no sufficient evidence to conclude that there is a difference between the two variance

 

What is the value of m ?

Answers

Answer:

20

Step-by-step explanation:

its 20 but i.need to explain so 180-110-40=20

Select the correct answer to 35 2/7 x 5:
1. 174
2. 176 3/7
3. 175 5/7
4. 174 5/7

Answers

Answer:

2

Step-by-step explanation:

I can't exactly explain my thinking but I estimates and the closet i got was answer 2 hoped this helped

Bob wants to rent a car for one day. He contacted two companies. Enterprise Rentals charges $100 plus $3 per mile. Hertz Rental charge $8 per mile. After how many will the total cost for both companies be the same ?

Answers

Answer:

20 miles.

Step-by-step explanation:

To solve this problem, we will have to set two expressions representative of Enterprise Rentals & Hertz Rental equal to each other.

Let [tex]m[/tex] equal the number of miles.

If Enterprise Rentals charges $100 plus $3 per mile, we can represent this as:

[tex]100+3m[/tex]

If Hertz Rental charges $8 per mile, we can represent this as:

[tex]8m[/tex]

Set the expressions equal to each other:

[tex]8m=100+3m[/tex]

Subtract [tex]3m[/tex] from both sides of the equation:

[tex]5m=100[/tex]

Divide both sides of the equation by the coefficient of [tex]m[/tex], which is [tex]5[/tex]:

[tex]m=20[/tex]

Therefore, after 20 miles, the total cost for both companies will be the same.

_

Check your work by substituting the solved value of [tex]m[/tex] (20), into the initial equation:

[tex]8(20)=100+3(20)[/tex]

[tex]160=100+60[/tex]

[tex]160=160[/tex]

As the total costs are equal to each other, our answer is correct!

Answer:

20 miles

Step-by-step explanation:

160=$3(20)=100

8x20=160

PLEASE HURRY!!!! WILL MARK BRAINLIST!!!!!!d. Using the equation for average rate above, determine the cheetah's average rate for the entire

trip.

Answers

Answer:

Average Rate = 55mph

Step-by-step explanation:

Now it’s time to tackle the original question. Going from point A to point B, the cheetah traveled at an average rate of 70 mph. Returning to point A, the cheetah traveled at an average rate of 40 mph.

Can we say that this cheetah’s average rate was 55 mph?

a.The average rate for the trip is equal to the total distance traveled divided by the total time traveled.

Average Rate = 70+ 40/2= 110/2 = 55mph

Yes the average rate of the cheetah is 55 mph

The following equations represent the distance traveled on each leg of the trip.

First leg of trip: td=r1 t1= 70*t

Second leg of trip: td=r2 t2= 40*t

Write an equation for the average rate for the trip. Remember, the cheetah runs from point A to point B and back to point A.

Total distance = r1 t1+ r2 t2

Average rate = Total distance / total time

                        =  r1 t1+ r2 t2/ t1+ t2

                        =70t+ 40t/ 2t

                         =110t/2t

                          = 55mph

                           

Answer:

the answer is 55 mph

Step-by-step explanation:

Average rate = Total distance / total time

                       =  r1 t1+ r2 t2/ t1+ t2

                       =70t+ 40t/ 2t

                        =110t/2t

Use the limit definition to find an equation of a tangent line of f(x)= 1/(x-1) at the given point (2,1)

Answers

By "limit definition", I assume you mean the derivative. We have

[tex]f'(c) = \displaystyle\lim_{x\to c}\frac{f(x)-f(c)}{x-c}[/tex]

For [tex]f(x)=\frac1{x-1}[/tex] and c = 2, we have

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac1{x-1}-1}{x-2}[/tex]

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac{1-(x-1)}{x-1}}{x-2}[/tex]

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{2-x}{(x-1)(x-2)}[/tex]

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac1{1-x}=-1[/tex]

The tangent line to (2, 1) has slope -1. Using the point-slope formula, it has equation

y - 1 = - (x - 2)

y = - x + 3

6. Rachel's garden is square in shape. The length of one side of her garden is 52 feet. What is the area of her garden in square feet? Express your answer using exponents.

Answers

Answer:

52^ 2 because this is equal to the area which is 2704 sq ft.  So 52 to the second power is your answer.

Step-by-step explanation:

The police department of UCR is looking to collect more fines for speeders on campus. (They are turning to speeding because they cannot extract any more money out of people for parking illegally!) They record the speeds on West Campus Drive for a year and find that the average speed is 31.0 miles per hour with a standard deviation of 2.0. The data is approximated by a normal distribution. The top five percent (5%) of speeders will get tickets. What speed must you be going before getting a ticket

Answers

Answer:

≥ 34.29 mph

Step-by-step explanation:

Given that:

Distribution is normal :

Mean(m) = 31 mph

Standard deviation = 2 mph

Speed of top 5%

Top 5% = bottom (100% - 5%) = 95% = 0.95

Zscore which corresponds to 0.95 = 1.645

Using the Z formula:

Zscore = (score - mean) / standard deviation

1.645 = ( score - 31) / 2

Croas multiply:

2 * 1.645 = score - 31

3.29 = score - 31

3.29 + 31 = score

34.29 = score

Hence, speed must be greater than or equal to 34.29 mph

5 square root of 2 help please ​

Answers

1.41421

hope this is helpful! XD XD

Find the slope plus extra pts

Answers

Answer:

The Slope is -4

m = -4

Step-by-step explanation:

Hopefully this Helps! If this wasn't the answer you were looking for please don't hesitate to either comment here or private message me! Have a nice day/night! :))

In order to receive credit for an English assignment, Alex must reflect on AT LEAST 5 out of 7 passages. In how many ways can this be done?

Answers

Answer:

expressionism I just took that test trust you got a workout and English and I'm miss that I hope we close at Johnny's and I'm miss that I hope we close again for the one that was a big deal for me to hit the road and I'm miss that I hope we close again for the one time of day or so he can come over for a lol you want to text cause I'm miss that I hope we close again for the one that was a if he can come over for a lol you want to text Leo and I'm miss that I hope we close again for the one that 5th to text cause I'm miss that I hope.

I think it’s 35 ways


If a certain sum of money can become
5 times of its principal in 10 years, then
the rate of interest is​

Answers

So, you are asking at what interest rate will a sum of money double in 10 years.

Question, simple interest or compounded?

Simple interest accumulated on a sum for 10 years will double in 10 years with an interest rate of 10%. Now, if you want it to accumulate five times principle, the interest rate will have to be: P(i)(10)=5P. Modifying the equation, we could get: (i)(10)=5. Alas, (.5)(10)=5. 50% is the rate for simple interest.

However, we started out with an amount, and your question asks at what rate will our original investment increase to five times the original amount. So, our equation must be modified: P(i)(10)= 5(P)-P. So, working the equation, i (10)=5(P)-P/P. 5xP-P= 4(P)/P. To restate, i(10)+P=5P. Also, i(10)=4P. Further, i =4P/10. I = .4, or 40%.

As proof, if a sum earns 4 each year for 10 years, the product is 40. If the investment earns 4 per year, at 40% interest, that investment must be 10. 40+10=50.

Compounding, we will have the following equation: P(1+i)^10=5P. P(i)^10=5.

Modified, 5=1(i)^10. \/5^10= 1.1746. Subtracting 1, results in 17.46% interest rate. (1.1746)^10=4.999. 4.999(1)=~5.

Order from least to greatest.

0.67, 0.5, 3/5


Answers

Answer:

0.5, 0.6(3/5), 0.67

Other Questions
Researchers at Ohio State and Michigan put leader behavior into two broad categories; __________ and __________.a. Task , Powerb. People , Taskc. Task , Organizational Air containing 20.0 mol% water vapor at an initial pressure of 1 atm absolute is cooled in a 1- liter sealed vessel from 200C to 15C. (a) What is the pressure in the vessel at the end of the process? (Hint: The partial pressure of air in the system can be determined from the expression pair = nairRT/V and P = pair + pH2O. You may neglect the volume of the liquid water condensed, but you must show that condensation occurs.) (b) What is the mole fraction of water in the gas phase at the end of the process? (c) How much water (grams) condenses? A man bulds a model plane that is a scale model of an originalL The original plane is 150 feet in length. If the scale model uses 4 inches for every 50 feet the model is H inches in length. Answer here Evaluate the function for the indicated values of x.[Look at image] Read this excerpt from Susan Butcher and the Iditarod Trail. The next morning Seppala prepared to start again, but could find no trace of a land trail. The wind continued to blow almost at hurricane force. Seppala could not even see the front of his team through this total "whiteout." It was Togo who felt beneath the snow, found the trail, and started for the next relay point. Which conclusion can be formed based on the information in the excerpt? Mushers and their dogs have little experience with severe winter storms. Mushers and their dogs are equally dependent on each other for survival. Mushers and their dogs depend mostly on their senses of sight on a trail. Mushers and their dogs often become lost during severe winter storms. please help me solve this equation i need step by step explaining 3x + 2= x+4(x+2) Find the equation of the line passing through the point ( 6,5 )and parallel to the line9x-3y =6 If QS bisects ZRQP, mZRQS =2x + 10, and mZSQP = 3x - 18,find mZRQS. Flight Path of a BirdIn this activity, you'll use quadratic equations to model situations and interpret the solutions to the equationThe flight path of a bird can be represented by this equation, where x represents the horizontal distance, in feet, from a treebranch and y represents the height, in feet, relative to the ground.y = 2x2 - 8x + 10Part AQuestionRewrite the equation modeling the path of the bird in vertex form by completing the square,Substitute the values of a, h, and k to complete the equation. The images show sets of organisms with their offspring.Which of these offspring are clones of their parents?Help ___________ is/are associated with collecting, storing, and distributing the product or service to buyers. They consist of warehousing, material handling, delivery operation, order processing, and scheduling.a. Servicesb. Inbound logisticsc. Outbound logisticsd. Operations Select the reagents you would use to synthesize the compounds below from benzene. Use the minimum number of steps. No more than three steps are required in any synthesis. a. Br2, FeBr3 b. CH3COCi. AICl3 c. SO3, H2SO4 d. Cl2, FeCl3 e. KMnO4, H2O f. HNO3, H2SO4 g. Fe, H3O then OH h. CH3Cl, AICl3 m-chlorobenzenesulfonic acid: 2,4,6-tribromoaniline Story: Mother and daughterBy: Gary SotoHow does Yollie's eighth grade fall dance impact the plot? Suppose that X is a random variable with mean 20 and standard deviation 5. Also suppose that Y is a random variable with mean 40 and standard deviation 10. Assume that the correlation between X and Y is 0.5. Find the mean and variance of the random variable Z = ????3X ???? 2Y . Be sure to show all your work. One of the major conequences of the Columbian Exchange was the spread of diseases such as smallpox.O TrueO False Can anyone tell me if u pass the ela state exam but u didn't pass the math state exam can u still go to 9th grade cuz im in 8th please answer and my grades are always good so does it help? and my classwork etc is always around 80-100 is it good Please help me!!!!!!!!!!which of the following statements is true about road rage?A.) You can receive a ticket worth four points against your license for acts of road rage. B.) People who are argumentative are rarely involved with road rage episodesC.) People who use alcohol are more likely to become involved in road rage episodesD.) Only two percent of drivers experience road rage. What is the most likely reason an author would write and essay about a little known figure who had a great impact on the history of the United States? According to the conversation below, what is Jorge buying from the store?Marisol: Qu compras en la tienda? Jorge: Yo compro una camisa, unoscinturones, y dos vestidos.IYour answer someone please help? I will mark brainliest.