In ΔDEF, the measure of ∠F=90°, the measure of ∠E=41°, and FD = 79 feet. Find the length of DE to the nearest tenth of a foot.

Answers

Answer 1

Answer:

120.4ft

Step-by-step explanation:

Find the diagram in the attachment.

The triangle shown is a right angled triangle with the side DE as the hypotenuse, EF is adjacent side while DF is the opposite side.

To get DE, we will use the SOH CAH TOA trigonometry identity

Using CAH which is defined as:

Cos(theta) = Adjacent/Hypotenuse

Cos 79°= 23/Hypotenuse

Hypotenuse = 23/cos79°

Hypotenuse = 23/0.191

Hypotenuse = 120.4feet

DE = 120.4feet (to nearest tenth)


Related Questions

Can you guys help me and answer this math question below

Answers

Answer:

point D

Step-by-step explanation:

4 would be the x axis so look horizontal, 5 is on y axis (y to the sky) so look vertically for 5

Answer:  Point D

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

Explanation:

We start at the lower left corner, which is the location (0,0)

Then we move to the right four spaces to arrive at (4,0) which is where point L is at right now.

Lastly, we move 5 units up to get to (4,5) which is where point D is located.

Each (x,y) point can be thought of as an address so we can quickly communicate a point's location to someone, even if they don't have the visual in front of them. You can think of it like latitude and longitude. The game of battleship uses a similar concept, but it uses letters as the first coordinate.

Trina is cooking her favorite dish. She started with 51/2fluid ounces of vegetable oil. While she cooks, she uses a teaspoon
of vegetable oil, which is 1/6 of a fluid Ounce, x times. After she made the dish, Trina had at least 3 1/3 fluid Ounces of
vegetable oil left. Which statement best describes the number of times she used a teaspoon of vegetable oil?

Answers

Answer:

trina used a teaspoon of vegetable oil at most 13 times

Step-by-step explanation:

hope this helps :D

Subtracting fractions

Answers

Answer:

Step-by-step explanation:

Make sure the denominators are the same.

Subtract the numerators. Put the answer over the same denominator.

Simplify the fraction (if needed).

Measure these angles.
a)
b)​

Answers

Answer:

Step-by-step explanation:

Angle A = 55 degrees.                                                                                                   Angle B = 61 degrees.

The measure for part a is 55 degree.

The measure for part b is 61 degree.

What is Acute Angle?

An acute angle is one that is smaller than the right angle. In other terms, an acute angle is formed by an angle less than 90 degrees. Polygons with at least one sharp angle include triangles, parallelograms, trapezoids, and so on.

An acute angle is one that is smaller than 90 degrees in length. This is a smaller angle than the right angle (which is equal to 90 degrees).

Given:

from the Figure we can see that the both angles are less than 90 degree i.e., Right angle.

Also, we know that Angles which are less than 90 degree is acute angle.

So, the both angles are less than 90.

The measure for part a is 55 degree.

and, the measure for part a is 61 degree.

Learn more about Acute angle here:

https://brainly.com/question/27749090

#SPJ2

If you were to reflect point B across the y axis, which quadrant would it be located

Answers

Answer:

the answer is (6,2)

Step-by-step explanation:

Hope this helps

Find the new amount given the original amount and the percent of change.
350 pages; 20% decrease

Answers

Answer:

272

Step-by-step explanation:

(giving brainiest)

tell how you solved the question

Answers

Answer:

b

Step-by-step explanation:

volume = L x W x H

A. 4 x 7 x 8 = 224

B. 8 x 5 x 6 = 240

then you compare the number and see which one is greater

To find volume of a box you use the equation V= L*W*H

Box A-8*7*4= 224 in^3

Box B-6*5*8=240 in^3

Box b has a larger volume

WHICH NUMBER IS BIGGER? -10 OR -1 EXPLAIN *

Answers

Answer:

-1, because the number is a negative think like your in debt. which would you like to be in one dollar in debt or ten dollars in b\debt

Step-by-step explanation:

what is meaning of divya ​

Answers

Divine Brilliance is the answer

Question 15
Tessa made 14 out of 22 free throw attempts in the first half of practice and 22 out of 28 attempts in the second half of practice. What is her free throw average for the whole practice, written as a decimal? PLEASE HELP, I NEED IT QUICK!! 30 POINTS FOR IT

Answers

Answer:

0.71

Step-by-step explanation:

1st attempt = [tex]\frac{14}{22} = 63%[/tex]%

2nd attempt = [tex]\frac{22}{28} = 79%[/tex]%

To get the average of something, find the sum of the numbers and then divided the sum by the total number of values there are.

⇒ 63 + 79 = 142

⇒ 142 / 2 = 71%  

⇒ 71% = .71

If there are 125 boxes of prescription bottle labels at the beginning of inventory cycle, and 25 3/4 remain ,how many boxes of labels remain?

Answers

Answer:

Rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.

Step-by-step explanation:

Given that there are 125 boxes of prescription bottle labels at the beginning of the inventory cycle, and 25 3/4 remain at the end of it, to determine how many boxes of labels remain the following calculation must be performed:

3/4 = 0.75 + 25 = 25.75

125 x 25.75 / 100 = X

3218.75 / 100 = X

32.1875 = X

Thus, rounded to the nearest integer, 32 boxes of labels remain at the end of the inventory cycle.

hi can you please help me with my work​

Answers

Answer: 8 3/4 pls mark brainliest

Question... factor 28+4x

Answers

Answer:

4(7 + x)

Step-by-step explanation:

28 + 4x

4 ⋅ 7 + 4x

4(7 + x)

good luck hope this helps :)

Find the greatest common factor for the terms involved in the polynomial.

In this case, the greatest common factor between 28 and 4 is 4.

So a 4 factors out of this polynomial.

That leaves us with each term divided by 4

inside a set of parentheses.

So we have 4(7 + x).

Now you can check your answer by distributing the 4 through

the parentheses and you will end up with your original polynomial.

The Memorial baseball team purchased three times as many gloves as bats this year. If each glove cost $50 and each bat cost $30 and a TOTAL of $720 was spent on gloves and bats, Find the cost of one glove and one bat.

Answers

Answer:

$80

Step-by-step explanation:

If 8 x/2 = 2 3/8 x 4 ¾ find x

Answers

Answer:

x = 361/32

Step-by-step explanation:

I'm assuming that "8 x/2" is a mixed number.

I need to know the area of this triangle

Answers

Answer:

the area is 4 square

Step-by-step explanation:

beacuse of the  shape

Which inequality describes the graph?

Answers

Answer:

I think it is B. -3x < - 30, but I might be wrong.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

since you see that the line goes from 10 and does not include it it would be x<10

or  because we have to flip sign when multiplying negative -3x>-30

so A

In parts (a)−(d) below, either use the information given to determine the distribution of the random variable, or show that the information given is not sufficient by describing at least two different random variables that satisfy the given condition. (a) X is a random variable such that MX(t) = e 6t 2 when |t| < 2. (b) Y is a random variable such that MY (t) = 2 2−t for t < 0.5. (c) Z is a random variable such that MZ(t) = [infinity] for t ≥ 5. (d) W is a random variable such that MW (2)

Answers

Answer:

a.) X  ≈ N (0, 12)

b.) Y ≈  exp(2)

c.) The given distribution is not defined.

d.) Not a standard form of any distribution .

Step-by-step explanation:

Given - In parts (a)−(d) below, either use the information given to determine

            the distribution of the random variable, or show that the information

            given is not sufficient by describing at least two different random

            variables that satisfy the given condition.

To find - (a) X is a random variable such that Mₓ(t) = [tex]e^{6t^{2} }[/tex] when |t| < 2.

              (b) Y is a random variable such that  [tex]M_{Y}[/tex](t) = [tex]\frac{2}{2 - t}[/tex] for t < 0.5.

              (c) Z is a random variable such that [tex]M_{Z}[/tex](t) = ∞ for t ≥ 5.

              (d) W is a random variable such that [tex]M_{W}[/tex](2) = 2

Proof -

a.)

As we know that the moment generating function of normal distribution is given by

Mₓ(t) = [tex]e^{ut + \frac{1}{2}t^{2} \sigma^{2}}[/tex]

Now,

Mₓ(t) = [tex]e^{6t^{2} }[/tex]

       = [tex]e^{0(t) + \frac{12}{2} t^{2} }[/tex]

⇒μ = 0, σ = 12

Nd it is represented by

X  ≈ N (0, 12)

b.)

Moment generating function of exponential function is given by

[tex]M_{Y}[/tex](t) = [tex]( 1 - \frac{t}{\theta})^{-1}[/tex]

Now,

 [tex]M_{Y}[/tex](t) = [tex]\frac{2}{2 - t}[/tex] for t < 0.5.

          = [tex]\frac{1}{\frac{2 - t}{2} }[/tex]

          = [tex]\frac{1}{1 - \frac{t}{2} }[/tex]

          = [tex]( 1 - \frac{t}{2} )^{-1}[/tex]

And it is represented by

Y ≈  exp(2)

c.)

Z is a random variable such that [tex]M_{Z}[/tex](t) = ∞ for t ≥ 5.

The given distribution is undefined.

d.)

[tex]M_{W}[/tex](2) = E([tex]e^{2w}[/tex] )

           = [tex]\int\limits^{-\infty}_{\infty} {e^{2w} f(w) } \, dw[/tex]

          = 2

It is not the standard form of any distribution.

3(x + y) (2x - 3y) + (x + y)×2 factorize​

Answers

Answer:

(x + y) (6 x - 9 y + 2)

6 x^2 - 3 x y + 2 x - 9 y^2 + 2 y

1\/24 (12 x - 3 y + 2)^2 + 1\/24 (-225 y^2 + 60 y - 4)

Step-by-step explanation:

its one of these 3 answers

find the variance of 4 9 12 15 6 5 ​

Answers

Answer:

18.7

Step-by-step explanation:

fhfhdhsuxudjdejdhdjdjx

Which of the following represents a function

Answers

Answer:

The last one

Step-by-step explanation:

Find the product. 7/10 X 3/6

Answers

7 . 3
--- × ------
10. . 6


= 21
--------
60

= 7/20

ten is equal to two times a number plus 3.6.

Answers

Answer:

3.2

Step-by-step explanation:

Make an equation!

10=2x+3.6

isolate the variable:

6.4=2x

divide by 2

3.2=x

i hope this helps!

Answer:

3.2

Step-by-step explanation:

10= 2x + 3.6

subtract 3.6 from both sides

2x = 6.4

divide both sides by 2

x = 3.2

pls help due in one min
Daniel hiked
4
5
8
miles on Saturday and
4
1
2
miles on Sunday. How many miles did he hike in all?

A.

8
3
5
miles

B.
8
3
4
miles

C.
9
1
8
miles

D.
9
1
2
miles

Answers

Answer:

the answer isnt on there it would be 870 miles

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:


PLZ HELY ILL MARK BRANILEST

Answers

Answer:

518

Step-by-step explanation:

14 x 74 = 1036      1036 / 2  = 518

( really need brainliest , hope it helps )

( first )

Acellus
Find the total surface area of this cone.
Leave your answer in terms of 7.
25m
-- 8m
SA = [ ? ]m2
Enter

Answers

Answer:

the answer is 264

Step-by-step explanation:

Which of the following is equal to the expression below?
(5-6)2
A. -54
1
В.
D. -512

Answers

The answer is 1/5^12.

Multiply the -6 by 2 to get 5^-12. Then, to make the exponent positive, move it to the denominator to get your answer, 1 over 5^12.

A bicycle wheel makes five rotations. The bicycle travels 43.18 ft. Find the diameter of the wheel in inches. Use 3.14 for π.

Answers

Answer:

Step-by-step explanation:

x=5c, c=3.14d

x=5(3.14)d

d=x/15.7, x=43.18ft

d=43.18/15.7

d=2.75ft

Find the value of csc Θ if cos Θ = - 3/5 180° ≤ Θ < 270°

csc =

Answers

Answer:

csc Θ = - 5/4

Step-by-step explanation:

Consider a coordinate plane. As the range is from 180 to 270, we find that the triangle to be created should be in the 3rd quadrant.

cos Θ = - 3/5

5 ---> hypotenuse

- 3 --> adjacent side

Θ = angle is between the respective sides

We have to find the length of the remaining side, which would be the following:

- √5^2 - (-3)^2 = - √25 - 9

                        = - √16

                        = - 4

Remember csc Θ = Hypotenuse/Opposite =  5/-4 = - 5/4

A 95% confidence interval for the proportion of American adults who believe that regular exercise is important was computed to be [0.726, 0.780]. Given this confidence interval, which of the following values are reasonable estimates for the proportion of all American adults who believe that regular exercise is important (i.e., the population proportion).

a. 0.730
b. 0.765
c. 0.770
d. 0.795

Answers

Using confidence interval concepts, it is found that the reasonable estimate for the proportion of all American adults who believe that regular exercise is important is of 0.753.

What is a confidence interval?

It is the range in which a parameter is expected to be given a confidence level, has format (a,b), and the point estimate of the parameter is the mean between a and b.

In this problem, the interval is [0.726, 0.780], hence, the estimate is of:

(0.726 + 0.78)/2 = 0.753

You can learn more about confidence interval concepts at https://brainly.com/question/25779324

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