In ΔDEF, the measure of ∠F=90°, EF = 2.3 feet, and FD = 2.9 feet. Find the measure of ∠D to the nearest tenth of a degree.

Answers

Answer 1

Answer:

[tex]\theta=38.42 \textdegree[/tex]

Step-by-step explanation:

From the question we are told that:

Angle of F [tex]\angle F=90 \textdegree[/tex]

Length of [tex]EF = 2.3 feet,[/tex]

Length of [tex]FD= 2.9 feet,[/tex]

Generally the equation for Angle D [tex]\theta[/tex] is mathematically given by

Since [tex]\angle F=90[/tex].The triangle  is a right angle Triangle

Therefore

 [tex]tan \theta=\frac{EF}{FD}[/tex]

 [tex]tan \theta=\frac{2.3}{2.9}[/tex]

 [tex]\theta=tan^{-1} 0.793[/tex]

 [tex]\theta=38.42 \textdegree[/tex]


Related Questions

Please help this is for a project: The stimulus check is a one time $1,200 pay out and the unemployment check is $600 per week
for a maximum of 16 weeks. Make an equation that can be used to find y, the amount of money in your
account after x number of weeks of getting unemployment checks.
Can b an x be greater than 16? What is a mathematical way to show that?

Answers


y=600x+1200

x cannot be greater than 16 because the maximum amount of weeks is 16.
mathematical way: x is less than or equal to 16 (also there’s a picture to show what I mean)

Find the value of x. Help fast me need help

Answers

Answer:

(5x + 16) + 102 + 92 + 100 = 360

(5x + 16) + 294  = 360

-294                   -294

5x + 16 = 66

-16           -16

5x = 50

Divide by 5 on both sides.

x = 10 degrees

A quadrilateral will always equal 360 degrees

A triangle will always equal 180 degrees.

Help please it will mean so much thanks ❤️

Answers

Answer:

y = 14

Step-by-step explanation:

y = x^2 -5x

Let x =7

y = 7^2 -5*7

y = 49- 35

y = 14

The Box-and-Whisker Plot represents the ages of 40 people who responded to a telephone survey.

Which statement is true about this data set?

A. About 50% of the respondents were at or between 40 and 67.5 years old.
B. The range of the data is 84 years.
C. The outlier is 28 years.
D. The mean is 51 years.

Answers

Answer:

'A' is true; theoretically, 50% of the data items reside between the first and third quartiles (40 and 67.5)

Step-by-step explanation:

Range is 84-28 which is 56

Median is 51

1.5 x Interquartile Range (IQR) = 1.5(67.5-40) which equals 41.25

Q1 is 40

Q1 - IQR = -1.25

Low outliers are below -1.25 - 41.25; there are not data items below -42

Answer:

'A' is true; theoretically, 50% of the data items reside between the first and third quartiles (40 and 67.5)

Step-by-step explanation:

Range is 84-28 which is 56

Median is 51

1.5 x Interquartile Range (IQR) = 1.5(67.5-40) which equals 41.25

Q1 is 40

Q1 - IQR = -1.25

Low outliers are below -1.25 - 41.25; there are not data items below -42

Using the figure show, find the missing values. Round each value. Every time I put this up people get it wrong

Answers

Answer:

I'm sorry, I can help you with only this one :( ∠F = 44°

Step-by-step explanation:

∠F = 180° - (46° + 90°) = 44°

What are the new coordinates of point R after polygon QXYZR is rotated 180° and translated 3 units left?

A) (-6,2)
B) (0,-2)
C) (6,-2)
D) (3,-2)

Answers

Answer: c

Step-by-step explanation:

They answer would be c because it goes best

Akash draws a 4 from ten cards numbered 1 through 10. He replaces the card. Then Ramesh draws a 7. What is the probability of getting a 4 and a 7?

Answers

Answer:

1/100

Step-by-step explanation:

P(4 then 7) = 1/10 x 1/10

I WILL GIVE BRAINLIEST!!!!!!
Starting at (0,0) if you were to go 5 units left and 6 units up what coordinates would you end up at? What quadrant would you be in?

Answers

Answer:

I think Quadrant 1. I;m not trying to just answer for the points

Step-by-step explanation:

Mr. Carr is hiring a plumber to repair his sink. The cost of Plumber T is shown in the table.

A table titled Plumber T Costs is shown. It has three columns and two rows. Row one is labeled Hours, h. Row two is labeled Cost, c. One hour, one hundred twenty-eight dollars. Two hours, two hundred fifteen dollars. Three hours, three hundred two dollars.

Part A. What is the initial cost and hourly rate of Plumber T?

Part B. Write an equation to represent the function shown in the table.

Part C. Plumber W charges $95 per hour and an additional $32 for the parts needed. What is the difference in cost between Plumber W and Plumber T if the repair Mr. Carr needs takes 5 hours?

Enter the correct answers in the boxes.

A. Initial cost: $

Rate per hour: $

B. Equation:

C. Difference in cost: $

Answers

The hourly rate of plumber T is $87 per hour and have an initial cost of $41.

Linear equation

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial amount.

From the table, using points (1, 128) and (2, 215):

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-128=\frac{215-128}{2-1}(x-1)\\ \\y= 87x+41[/tex]

The hourly rate of plumber T is $87 per hour and have an initial cost of $41.

Find out more on Linear equation at: https://brainly.com/question/14323743

Answer:

Initial cost: $ 41

Rate per hour: $87

Equation: y=87x+41

Step-by-step explanation:

Sorry I do not know the difference in cost.

List the next three numbers for the sequence:

34, 102, 408, 2040, ...

Answers

Answer:

12240

85680

685440

Step-by-step explanation:

We know that the sequence is growing rapidly

To see how rapidly divide the second term by the first term

102/34 =3

Check the third term divided by the second term

408/102 =4

Check the fourth term divided by the third term

2040/408=5

To get the second term, multiply by 3,  to get the third term multiply by 4

to get the fourth term multiply by 5

to get the nth term multiply by (n+1)

The 5th term would be multiplied by 6

2040 *6 =12240

The 6th term by 7

12240*7=85680

The 7th term by 8

85680*8=685440

About 25% of those called for jury duty will find an excuse to avoid it. If 12 people are called what is the probability that all 12 will be available. (Binomial distribution)

Answers

Answer:

Approximately [tex]0.032[/tex] (or, equivalently, [tex]3.2\%[/tex],) assuming that the availabilities of the [tex]12[/tex] jurors are independent from one another.

Step-by-step explanation:

The question states that the probability that a given juror is unavailable is approximately [tex]0.25[/tex].

For the complement of that event, the probability that this particular juror is available would be [tex]1 - 0.25 = 0.75[/tex].

Assume that the availabilities of the [tex]12[/tex] jurors are independent from one another. The number of available jurors would be a binomial variable with [tex]n = 12[/tex] and [tex]p = 0.75[/tex] ([tex]12\![/tex] independent observations, each with a [tex]0.75[/tex] probability of being "available".)

Hence, the probability that all [tex]12[/tex] jurors are available would be:

[tex](0.75)^{12} \times (0.25)^{0} \approx 0.032 = 3.2\%[/tex].

A rectangle has a length of 14 yards less than 9 times its width. If the area of the rectangle is 6183 square yards, find the length of the rectangle.

Answers

Answer:

 [tex]l=238\ yards[/tex]

Step-by-step explanation:

From the question we are told that:

Area of Rectangle A=6183

Equation of Length

 [tex]l=9w-14[/tex]

Where

[tex]w=width\ of\ triangle[/tex]

Generally the equation for Area of Rectangle is mathematically given by

 [tex]A=(9w-14)w[/tex]

 [tex]A=9w^2-14w[/tex]

 [tex]6183=9w^2-14w[/tex]

 [tex]9w^2-14w-6183=0[/tex]

 [tex]w=28[/tex]

Therefore

 [tex]l=9(28)-14[/tex]

 [tex]l=238\ yards[/tex]

please help ive been struggling for a hour i will give a lot of points if corrected

Answers

Answer:

EFG = 104°

GFH = 76°

Step-by-step explanation:

The sum of a linear pair is always equal to 180°

So lets solve for the variable n

2n + 32 + 4n + 16 = 180

6n + 48 = 180

6n = 132

n = 22

So now we know N

EFG = 4n + 16

EFG = 88 + 16

EFG = 104°

GFH = 2n + 32°

GFH = 44 + 32

GFH = 76°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Which one is the correct answer

Answers

Answer:

ans is 3x2 ln x is a option correct


You want to make five-letter codes that use the letters A, F, E, R, and without repeating any letter. What is the probability that a randomly chosen
code starts with Mand ends with E?

Answers

Answer:

Probability [chosen code starts with M and ends with E] = 0.05

Step-by-step explanation:

Given:

Total alphabet = A, F, E, R, and M

Creating name without repeat

Find:

Probability [chosen code starts with M and ends with E]

Computation:

Probability Name start with M = 1 / 5

Probability Name start with E = 1 / (5-1)

Probability Name start with E = 1 / 4

Probability [chosen code starts with M and ends with E] = Probability Name start with M x Probability Name start with E

Probability [chosen code starts with M and ends with E] = (1/5)(1/4)

Probability [chosen code starts with M and ends with E] = 1 / 20

Probability [chosen code starts with M and ends with E] = 0.05

I need helppp pls I’m confused

Answers

Answer:

30 ft²

Step-by-step explanation:

Area of a paralleogram formula:

A = bh

A = (6)(2)

A = 12

Area of a rectangle:

A = bh

A = 6(3)

A = 18

Combined:

12 + 18

30

Find c. Determine it from the choices below.

Answers

Answer:

12 centimetres

Step-by-step explanation:

I looked it up

The answer should be 12 centimeters

What is the value of this expression? 6 (24÷ 3) - 2​

Answers

Answer:

6 (24÷3) -2

6 (8) -2

48-2

=46

Brackets of division multiplication add and subtract

please help me with this one

Answers

Answer:

a: 500in squared

Step-by-step explanation:

A=(a+b)/2 x h.

19+31=50

50/2=25

25×20=500

500 is correct hope this helps!

A cylinder has a surface area of 502.4 square inches and a height of 11 inches. What is the volume? PLEASE HELP!!

Answers

Answer:

V≈ 863.27 in³

Step-by-step explanation:

Please help me answer

Answers

Answer:

Step-by-step explanation:

the circumference you make it using the diameter , pi times ( 3.142 times)

C = 13* 3.142 = 40.846

What is the missing number in the pattern below?1, 4, 2, ______, 3

Answers

Seems to me the pattern is Adding 3, then Subtracting by 2.

We add 3 to 1, which is 4, then minus 2 from 4, which is 2. Adding 3 to 2 is 5, and 5 minus 2 is 3.

So, the pattern is 1, 4, 2, 5, 3.

Hope this helped!!

the picture frame shown are both squares the area of a larger frame is four times the area of the smaller frame find the side length of the larger frame. a=64 in sq​

Answers

Answer:

The side length of the larger square is 32

Step-by-step explanation:

Its 32 because the side lengths for the small square are 8 because  8 by 8 is 64. Multiply 8 by 4 which is 32.

Answer:

The side length of the larger frame is 128 inches.

Step-by-step explanation:

64 × 4 = 256

256 ÷ 2 = 128

sin + cose
If tan0 = 1 then, find the values of
sec 0 + cosec​

Answers

Answer:

We know that:

Tan(x) = sin(x)/cos(x)

We know that:

Tan(θ) = 1 = sin(θ)/cos(θ)

we can rewrite this as:

sin(θ)/cos(θ) = 1

sin(θ) = cos(θ)

If you know the table of notable angles, the angle such that this is true is θ = 45°

sin(45°) = 1/√2 = cos(45°)

Now we want to find the value of:

sec(θ) + cosec(θ)

Where:

sec(θ) = 1/cos(θ)

cosec(θ) = 1/sin(θ)

And we already know the values of the sine and cosine function, then:

sec(45°) + cosec(45°) = 1/cos(45°) + 1/sin(45°) = 2*(1/( 1/√2)) = 2*√2

Then, given that:

Tan(θ) = 1

We can conclude that:

sec(θ) + cosec(θ) = 2*√2

The distribution of household incomes in a small town is strongly skewed to the right. The mean income is $42,000 and the standard deviation is $24,000. The Ames family’s household income is $60,000. The z-score for the Ames family’s income is

Answers

Answer:

0.75

Step-by-step explanation:

Given :

mean = 42000

Standard deviation = 24000

score, x = 60000

The Zscore :

Zscore = (score - mean) / standard deviation

(60000 - 42000) / 24000

18000 / 24000

= 0.75

Can someone help with this

Answers

Answer:

20

Step-by-step explanation:

The diameter of a cylindrical construction pipe is 4ft . If the pipe is 24ft long, what is its volume

Answers

If you need the answer using pi it’s also there

Find the GCF of the expression 24a^7 +18a^5+12a^3

Answers

Answer:

the correct answer is 6a³

Answer:

6a³

Step-by-step explanation:

First find the GCF of the numbers, which is the easy part...

The largest number that 24, 18, and 12 can all be divided by is 6.

So 6 is the first part of the GCF.

Now for the variable...

The smallest exponent in an instance of the variable is 3.

So a³ is the variable part.

GCF: 6a³

Which of the following is (−5x + 4) − (3x2 − 7x + 4) simplified and written in standard form?

A. 3x2 − 12x + 8
B. 2x − 3x2
C. −3x2 + 7x − 5x
D. −3x2 + 2x

Answers

Answer:

D)

Step-by-step explanation:

-5x + 4 - 3x² + 7x - 4

-3x² + 2x

Answer:

(–5x + 4) – (3X²–7x + 4) = ( – 3x² + 2x )

2a + 3b = 5
b= a - 5

Answers

Answer:

I'm not sure but I thing the answer is 10

Step-by-step explanation:

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