DEF is a right angled triangle calculate the length of EF correct to 3 sigificant figures

DEF Is A Right Angled Triangle Calculate The Length Of EF Correct To 3 Sigificant Figures

Answers

Answer 1

Answer:

[tex]\displaystyle EF \approx 15.9[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = 28°

Adjacent Leg = EF = x

Hypotenuse = DF = 18

Step 2: Solve for x

Substitute in variables [Cosine]:                                                                    [tex]\displaystyle cos28^\circ = \frac{x}{18}[/tex][Multiplication Property of Equality] Multiply 18 on both sides:                  [tex]\displaystyle 18cos28^\circ = x[/tex]Evaluate trig:                                                                                                  [tex]\displaystyle 18(0.882948) = x[/tex]Multiply:                                                                                                          [tex]\displaystyle 15.8931 = x[/tex]Rewrite:                                                                                                          [tex]\displaystyle EF = 15.8931[/tex]Round:                                                                                                             [tex]\displaystyle EF \approx 15.9[/tex]

Related Questions

HELP I NEED HELP ASAP

Answers

Answer:

A. The number of people infected increases expontially by approximately 80/ per month

Step-by-step explanation:

I'll just remind

Consider the following two quadratic equations.
4x ^ 2 - 12x + 4 = - 4
- x ^ 2 + 4x - 3 = 0
What solution is true for BOTH equations?

Answers

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero. x=2,1

2. Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x=3,1

Step-by-step explanation:

Hope it is helpful.....

Answer:

x = 1

Step-by-step explanation:

Solving the equations

4x² - 12x + 4 = - 4 ( add 4 to both sides )

4x² - 12x + 8 = 0 ( divide terms by 4 )

x² - 3x + 2 = 0 ← in standard form

(x - 1)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 2 = 0 ⇒ x = 2

-------------------------------------

- x² + 4x - 3 = 0 ( multiply through by - 1 )

x² - 4x + 3 = 0 ← in standard form

(x - 1)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 3 = 0 ⇒ x = 3

The solution that is true for both equations is x = 1

3. Find the area of the
shaded region.

Answers

Answer:

8 times 2 is 16 and with the line in the middle divide by 2 which is 8!

Answer:

16ft because if one side is 8ft and its split in the middle then the other side is 8ft making the answer 16ft

express 4x-1= 3 as a linear equation in two variables​

Answers

Hello there!

~I hope you and your family are staying safe and healthy!

[tex]4x - 1 = 3[/tex]

We need to start by saying that y = 3

[tex]4x - 1 = y[/tex] or [tex]4x - y = 1[/tex]

Thus, the equation above is in the two variable form where y = 3

Thus, the required equation is [tex]4x - y = 1[/tex]

Let me know if you have additional questions!

~Garebear

Other equipment totaled 33000. You earn a commission of 20% on every sale you make. If you put 35% of your earnings on this particular sale into a savings account what is the amount invested

Answers

9514 1404 393

Answer:

  2310

Step-by-step explanation:

Assuming "this particular sale" totals 33000 in its entirety, the commission is ...

  20% × 33000 = 6600

The amount of that going to the savings account is ...

  35% × 6600 = 2310

The amount invested is 2310.

A computer store buys a computer system at a cost of ​$370.80. The selling price was first at $618 ​, but then the store advertised a 20% markdown on the system.

Answers

Answer:

The answer is 494.40 for the first question and then the second answer is 395.52

Step-by-step explanation:

Answer:

$494.40

Step-by-step explanation:

618 x 20% or .2 = $123.60.

$618 - $123.60= $494.40.

Hope this helps!

Rectangle ABCD is similar to Rectangle JKLM.
What is the ratio (ABCD to JKLM) of the corresponding side lengths?

Answers

9514 1404 393

Answer:

  2 to 3

Step-by-step explanation:

The ratio of side lengths is the square root of the ratio of areas:

  32 to 72 = 4 to 9 . . . . simplified ratio of areas

Then the ratio of side lengths is ...

  √4 to √9 = 2 to 3

will give brainliest please help

Answers

Answer:

16g + 24 - (13g- 15)

length   -   width

perimeter = 2(length) - 2(width)

2(16g+ 24) + 2(13g-15)

32g + 48 + 26g - 30

58g + 18

I NEED THIS ASAP !!!!!!

Answers

Step-by-step explanation:

step 1. c = 14(pi) m = 43.96m

step 2. c = 2(pi)(3) = 6(pi) m = 18.84in

At the zoo, the ratio of birds to snakes is 2:3. If there
are 12 snakes at the zoo, how many birds are there?
Show your work! Type your final answer in the box
below.
Submit

Answers

Answer:

8 birds

Step-by-step explanation:

Birds to snakes is 2:3. So, then it would be 4:6, 6:9, 8:12 if you use a table.

Answer:

U need to slove the same way as shown above just change the number and solve if still u find any difficulty. then u can follow me I will surely help u out

All The Best

HELLPPPP PLSSSS HELPPPPPPP

Answers

The screen is black

A circle has an area of 113 square centimeters. What is the radius of the circle?

Answers

So, first you want to have 113 then you are going to want to divide it by pi or 3.14. After that, square it.

Your answer would be 6

can anybody help pls

Answers

Answer:

2t

Step-by-step explanation:

The expressions are not the same because different terms are negative. We can visualize the difference by rewriting the expressions as 13t + (-2t) and (-13t) + 2t. In the first expression, 13t-2t, the 2t is negative because it is being subtracted, and subtracting a number is the same as adding a negative.

The answer is 2t ^^ hope this helps

What is the sum of the measures of the interior angles of a 12-gon ?


A: 1620

B: 1800

C: 1980

D: 2160

Answers

i believe the answer is B: 1800

Answer:

B. 1800 degrees.

Step-by-step explanation:

Just took the quiz on Edg (2020-2021)!!

Tommy buys a football for $20 plus 8% tax John buys a helmet for $25 plus 8% tax what is the difference in the amount Tommy and John paid including tax

Answers

Answer:

$5.40

Step-by-step explanation:

First, figure out the cost of the items with tax; for Tommy we have 20*0.08 = 1.6, add that 1.6 to the 20 and his purchase is $21.6, for John we have 25*0.08 = 2, add 2 to his 25 and his purchase is $27. To find the difference we subtract 27-21.6 = 5.4 or $5.40

Jack invested $7,600 in an account paying an interest rate of 6\tfrac{1}{4}6 4 1 ​ % compounded continuously. John invested $7,600 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 ​ % compounded quarterly. After 19 years, how much more money would John have in his account than Jack, to the nearest dollar?

Answers

Answer: John would have $1371.33 more in his account than Jack.

Step-by-step explanation:

Formula to calculate amount after t years if compounded continuously:

[tex]A=Pe^{rt}[/tex]

Formula to calculate amount after t years if compounded quarterly:

[tex]A=P(1+\dfrac{r}{4})^{4t}[/tex]

, where P= Principal amount, r= rate of interest.

Given: P= $7,600

t=19 years

For Jack, [tex]r=6\dfrac{1}{4}\%=\dfrac{25}{4}\%=\dfrac{25}{400}=0.0625[/tex]

For John, [tex]r=6\dfrac{3}{4}\%=\dfrac{27}{4}\%=\dfrac{27}{400}=0.0675[/tex]

Amount in Jack's account after 19 years= [tex]7600e^{0.0625(19)}[/tex]

[tex]=7600e^{1.1875}\\\\=7600(3.27887376794)\\\\\approx\$24,919.44[/tex]

Amount in John's account after 19 years= [tex]7600e^{0.0675(19)}[/tex]

[tex]=7600(1+0.0675)^{19}\\\\=7600(3.45931245291)\\\\\approx\$26,290.77[/tex]

Difference = 26290.77-24919.44 = $ 1,371.33

John would have $1371.33 more in his account than Jack.

Answer:668

Step-by-step explanation: I just did it.

Please help urgent !!

Answers

A or D. not sure 'bout it. sorry.

Answer:

b. [tex] {x}^{4} \:varies \: directly \: as \: y[/tex]

Step-by-step explanation:

[tex] \frac{ {x}^{4} }{y} = 7 \\ \\ \implies {x}^{4} = 7y \\ \\ \implies {x}^{4} \: \alpha \: y \\ {x}^{4} \:varies \: directly \: as \: y[/tex]

−5⋅16 will result in a
number. Is it positive or negative

Answers

Answer:

negative

Step-by-step explanation:

-5x16=-80

Answer:

negitive

Step-by-step explanation:

a negitave multiplied by a positive is still a negitive

The length of a rectangle is three meters more than its width the perimeter of the rectangle is 74 meters what are the dimensions of the rectangle

Answers

Answer:

17 meters x 20 meters

Step-by-step explanation:

perimeter =  2 widths + 2 lengths

74 = 2W + 2L

L = W + 3

substitute for L

74 = 2W + 2(W + 3)

74 = 4W + 6

68 = 4W

W = 17 meters

L = 20 meters

Answer:

Step-by-step explanation:

Givens

Let the width = w

Then the Length = w + 3

Formula

P = 2L + 2W

P = 74

Solution

Substitute w + 3 for L

2(W + 3) + 2W = 74       Remove the brackets

2W + 6 + 2W = 74        Collect Like Terms

4w + 6 = 74                  Subtract 6 from both sides

4w = 74 - 6

4w = 68                        Divide by 4

w = 68/4

w = 17

L = w + 3

L = 17 + 3

L = 20

Check

P = 40 + 34

P =74

question: which angles are vertical angles?

Answers

6 and 7 are vertical.

5 and 8 are vertical.

Answer:

<AOD, <BOC And <DOC ,<AOB

Ifj. 1. what is the value of i

Answers

Answer:

i

Step-by-step explanation:

The square root of a negative number is identified as an imaginary number (i )

An imaginary number (i) with exponent 3 or any other exponent remains an imaginary number.

The answer is:

i

The sides of a rectangle have length x+1 and width x-5. which equation below describes the area A of the rectangle in terms of x?​

Answers

Option C

Area = length * width
Area = (x + 1)(x -5)
Use FOIL

x*x + x*-5 + 1*x + 1*-5
x^2 - 5x + x - 5
x^2 - 4x - 5

19/100+7/10 wich fraction can be used in place of 7/10 to find the value of the expression​

Answers

Answer:

70/100.

Step-by-step explanation:

When adding fractions, you need to find a common denominator.

This just means that the numbers at the bottom of both fractions you are adding must be the same.

So for 19/100 + 1/10, you need to match the two denominators (bottom numbers).

To do this, you need to multiply 10 by 10 to get 100.

What you do to the bottom, you must always do to the top as well.

So multiply 7 by 10 and get 70.

70/100 will replace 7/10.

Now you can add fractions because the bottom numbers are the same.

Write the equation of the line.

Answers

y = 1/3x - 2.
If you sub in 0, you’ll get (0, -2) which is the y intercept.

The perimeter of a rectangle is 61 centimeters. The length is 4 centimeters longer than the width, w. Which equation can be used to find the width of this rectangle?

A= 2w + 2(w +4) = 61
B= 1/2w + 2 (w+4) =61
C=2w + 1/2 (w +4) =61
D= 1/2 w + 1/2 (w +4) =61

Answers

Answer:

A

Step-by-step explanation:

P=2L+2w

P=61

W=W

Since length is 4cm longer

Therefore length=W+4

General equation=2w+2(w+4)=61

Please find the value of X and Y will mark brainliest

Answers

Answer:

y=34.5 degrees

x=17 degrees

Step-by-step explanation:

2y=69  because it is a corresponding congruent angle

y=34.5 degrees

2y=3x+18

69=3x+18

3x=51

x=17

How many distinct, real solutions does the following equation have?
x^2=49
A) Two distinct, real solution
B) One distinct, real solution
C) No solutions

Answers

Answer:

A) two          (they are 7 and -7)

Step-by-step explanation:

Please help me id you want BRIANLEIST!!! :)) ty!!!

Answers

Answer:

5/3

Step-by-step explanation:

4 × x = (6×3+2)/3

---> 4x = 20/3

----> x = 20/12

----> x=5/3

Hope it helps

Answer:

5/3

Step-by-step explanation:

In 2010, the population of a city was 180,000. From 2010 to 2015, the population grew by 7%. From 2015 to 2020, it fell by 4%. How much did the population grow from 2010 to 2015, to the nearest 100 people?

Answers

Answer:

I. Exponential Growth. (1 ) t y C r. = +. Final. Amount. Initial. Amount. Rate of ... value increases by 7% each year. ... Step 1 Write the exponential growth function for this ... nearest hundredth. ... The population after 7 years will be approximately 38,783 people. ... Cesium-137 left from a 100 milligram sample after 180 year

Step-by-step explanation:

i think  its right  if not have  a  great  day

Answer:

9800

Step-by-step explanation:

Solve each system by graphing y = -3x - 4,y = 1/2 x + 3

Answers

Answer:

answer is x=-2, y=2

Step-by-step explanation:

y=-3x-4,

y=1/2x+3

now plug in any points for x for both equations. I will plug in both x as 0.

y=-3(0)-4

y=-4

(0,-4)

y=1/2(0)+3

y=3

(0,3)

We have points now to plot on a graph.

Continue what I did. Maybe plug in 1 for x for both equations.

Hope this helps!

Answer:

x= [tex]\frac{-8y -6}{7}[/tex]

Step-by-step explanation:

Step 1: Add (-1)/2x to both sides.

−3x − 4y + [tex]\frac{-1}{2}[/tex] x = [tex]\frac{1}{2}[/tex] x + [tex]\frac{-1 }{2}[/tex] x

Step 2: Add 4y to both sides.

[tex]\frac{-7}{2}[/tex] x - 4y + 4y = 3 + 4y

[tex]\frac{-7}{2}[/tex] x = 4y + 3

Step 3: Divide both sides by (-7)/2.

[tex]\frac{-7 }{2}[/tex] x

      = 4y+3

[tex]\frac{-7}{2}[/tex]        [tex]\frac{-7}{2}[/tex]

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