Line segment CD is the altitude drawn to hypotenuse EF in right triangle ECF. If EC = 10 and EF = 24, then, to the nearest tenth, find ED.

Answers

Answer 1

Answer:

4.2 = ED

Step-by-step explanation:

C is the Right Angle.You will do yourself a great favor by drawing your own diagram. The easiest way to do this is to find CF first. Use the Pythagorean Theorem.The next step is to find the area of the triangles using EC * CF which you just found. Equate that to the hypotenuse * altitude(CD) to find CDThen use Pythagoras again to ED.

Step One

Find FC. That is the only side of the right triangle that you don't know the value of.

EC^2 + FC^2 = EF^2EC = 20FC = ?EF= 24   This the Hypotenuse.

10^2 + FC^2 = 24^2100 + FC^2 = 576                 Subtract 100 from both sides.FC^2 = 576 - 100                  Combine the right FC^2 = 476sqrt(FC^2) = sqrt(476)FC = 21.817

Step Two

Find CD. Do this by finding the area two ways. (Key Step)Area = hypotenuse * altitude / 2Area = EC * CF / 2EC = 10CF = 21.817hypotenuse = 24altitude = y24*y / 2 = 10 * 21.817 /212 y = 218.17/212y = 109.085y = 109.085/12y = 9.0904

Step Three

Find EDED^2 = 10^2 - y^2ED^2 = 100 - 9.0904^2ED^2 = 100 - 82.6357ED^2 = 17.36sqrt(ED^2) = sqrt(17.36)ED = 4.1671ED = 4.2

Related Questions

Find the value of x. Round your answer to the nearest tenth.

Answers

Answer:

35 is the value of x

Mr. Jackson lengthened the fence along the back of his yard. Before he added 130 feet, the fence was 300 feet long. He divided the fence into 5-foot sections.
How many 5-foot sections does he have now?
A. 86
B. 60
C. 26
D. 430
is it A?

Answers

Answer:

The answer is A, 86 sections.

Step-by-step explanation:

Step one : Add the 130 feet on to the 300 feet to find the new length of the fence.

130 + 300 = 430

Step two : find how many 5 foot sections he has now, divide 430 by 5.

430/5 = 86

Mr. Jackson can divide the new fence into 86 5-foot sections.

The answer is A, 86 sections.

A rectangle is 1 1/2 length and 4 1/4 width what is the area of rectangle




The numbers are a whole and a fraction that’s why there is a space

Answers

Answer:

6 3/8 units

Step-by-step explanation:

1 1/2* 4 1/4= 6 3/8

List the smallest three values in the set below. {x | x ∈ E and x < 30}

Answers

Answer:

Step-by-step explanation:

Notation

We need some notation to make talking about sets easier. Consider,

A

=

{

1

,

2

,

3

}

.

The beginning and ending readings on an odometer were 75,312.8 and 76,002.6. If the trip took 10-1/2 hours, what was the rate of the car in miles per hour to the nearest tenth?

Answers

Answer:

a

Step-by-step explanation:


Can someone answer this please

Answers

Answer:

good luck man

Step-by-step explanation:

you will get answers after some time

What is the slope of the line?

Answers

Answer:

2/3

Step-by-step explanation:

Find two points

(0,-2) and (3,0)

Using the slope formula

m = (y2-y1)/(x2-x1)

   = (0- -2)/(3-0)

  = (0+2)/(3-0)

   = 2/3

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

From the graph, we can see the line passes through the points (3,0) and (0,-2).

The slope of a line, [tex]m[/tex], that passes through points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by [tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let [tex](x_1,y_1)\implies (3,0)[/tex] and [tex](x_2,y_2)\implies (0,-2)[/tex].

The slope of the line that passes through these points is:

[tex]m=\frac{-2-0}{0-3}=\frac{-2}{-3}=\boxed{\frac{2}{3}}[/tex]

If f(x) = 3 x2 + 2 and g(x) = x2 - 9, find (f - g)(x).

Answers

Answer:

2x^2 +11

Step-by-step explanation:

(x) = 3 x^2 + 2

g(x) = x^2 - 9

(f - g)(x) =3 x^2 + 2 - (x^2 - 9)

Distribute the minus sign

             = 3x^2 +2 - x^2 +9

Combine like terms

             = 2x^2 +11

How much space does Lacey’s mom cover in frosting?

Answers

1,360 cm^2

Please just trust me, this took me a long amount of time to solve.

Basically this question is asking for the surface area. Just find the area of each face in the figure. Thats what I did.

Keep in mind that if the figure is composite and difficult like this, I separated it into 2 prism in this case.

I REALLY HOPE THIS HELPS

PLEASE SAY IF MY ANSWER IS CORRECT

-SpaceMarsh

Jonah runs 3/6 mile on sunday and 7/10 mile on monday. he uses the model to find that he ran a total of 1 mile. What mistake does Jonah make?

Answers

Jonah should shade 6 parts of 10 equal parts to show 3/5.

Hope this helps! :)


in rectangle ABCD above,
1. How many opposite sides are equal?
2. Name the parallel opposite sides.
3. Name the opposite angles that are equal.
4. How many right angles can you identify?
5. Identify the equal opposite sides.
6. How many triangles can you identify?
7. Line AB and CD are adjacent to each other.
true or false?
8. the dotted lines AC andBD are called what?

Answers

Answer and Step-by-step explanation:

1. 2 pairs (aka 4 sides) of Opposite Sides are equal

2. AB and DC are parallel, and AD and BC are parallel  

3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal

4. 4 right angles

5. AB and DC are equal, and AD and BC are equal

6. 4 Triangles

7. False

8. Diagonals of a rectangle.

#teamtrees #PAW (Plant And Water)

Find the volume of the prism.

Answers

9514 1404 393

Answer:

  420 mm³

Step-by-step explanation:

The volume is given by the formula ...

  V = Bh

where B is the area of the triangular base, and h is the height.

The triangular base area is given by the formula ...

  A = 1/2bh

  A = 1/2(10.5 mm)(10 mm) = 52.5 mm²

Then the volume of the prism is ...

  V = (52.5 mm²)(8 mm) = 420 mm³

help please. really need answers to understand

Answers

Answer:

hmmmm.... each question here is relatively straight forward, the issue is that these questions basically represent an entire unit (possible two) of an Algebra II class... I can provide answers, but the explanation (if you don't know the basic ideas might be elusive, But I will try to help)

Step-by-step explanation:

1) A = P (1+ r/n) ^ nt

interest equation ... monthly compounding so n = 12 thus r gets divided by 12 and t get multiplied by 12

A = 10,000(1 + .04/12)^(3*12)

A = 10000(1.00333)^36

A = $11,272.71

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

2) [tex]A = pe^{rt}[/tex]  

A = 15,000 [tex]e^{.06 t}[/tex]

18,000= 15,000 [tex]e^{.06 t}[/tex]

1.2= [tex]e^{.6 t}[/tex]

ln(1.2) = .06t (ln e)

.1823 / .06 = 3.03 years

Note: ln e = 1

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

[tex]3^{5x+1} = 27[/tex]

[tex]3^{5x+1} = 3^{3}[/tex]

thus: 5x+ 1 = 3

5x = 2

x = 2/5

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

f(x) = 5x - 12

y = 5x - 12

inverse

x = 5y - 12

5y = x + 12

y = 1/5 x + 12/5

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

fog(X) =

f(X) =6x+12

g(x) = x^2 + 3

fog(X) = 6(x^2 + 3)+12

           = 6x^2 + 18 + 12

            = 8x^2 + 30

Domain (- infinity, + infinity)

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

vertex 3x^2 - 6x + 2

verted = [-b/2a, f(-b/2a)]

a=3 , b=-6 , c = 2

-b/2a = 6/6 = 1

f(-b/2a) = -1

vertex = (1,-1)

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

30x - .4x^2

-30/-.8 = 37.5

max rev =  30(37.5) - .4(37.5)^2 = $562.5

(2x+8)-(x-8) PLS HELP

Answers

16 : 2 = 8 so it’s technically 8
X+16


Explanation:


(2x+8)-(x-8)

You would first distribute the - into the (x-8)
-1*x= -x -8*-1= 8

(2x+8)+(-x+8)

Now you combine like terms

2x-x=x 8+8=16

16+x or x+16

Help please ASAP ASAP

Answers

Answer:

9

Step-by-step explanation:

At the y axis the number is 4

At the x axis the number is -5

So 4-(-5)=9

Complete the equation of this circle:
А
(x – [? ])2+(y - [ ])2= [ ]

Answers

Answer:

[tex]r = \sqrt{ {2}^{2} + {2}^{2} - 3 } = 5 \\ {(x - 2)}^{2} + {(y - 2)}^{2} = 3[/tex]

in Lindsay's class, there were three students who scored 90 on a test and six students who scored 40 on a test. what is the mean of the scores in the class?​

Answers

Answer:

((90*3)+(40*6))/9

=(90+90+90+40+40+40+40+40+40)/9

=66.66

Step-by-step explanation:

A, higher than her sisters score

What’s the area of the rectangle

Answers

Answer:

66

Step-by-step explanation:

You multiply the length and the width. 11 times 6 equals 66

I need help with this pls help and write the Correct answer

Answers

Answer: The area of this hub cap is approximately 467 cm^2.

The nth term of a sequence is 5n.
Work out the 10th term of this sequence.

Answers

Answer:

The 10th term is 50

Step-by-step explanation:

5(10) = 50

What is the expression in radical form?

(20) 5/2


Enter your answer, in simplest form, in the box.

Answers

I believe the answer is 50

The Grade 8 students had a graduation dinner. They paid a flat rate of $125 for the use of the hall, plus $13 for each student who attended. The total cost for the dinner was $944.
How many students attended the dinner?
a) Write an equation you could use to solve the problem.
b) Solve the equation.
Verify the solution.



CAN SOMEONE GIVE ME THE ANSWERS AND EXPLANATION FOR THIS QUESTION IN SIMPLE FORM PLEASEEEEEEEEE I CANT FAIL

Answers

Answer:

65

Step-by-step explanation:

II ZPQR measures 75', what is the measure of SQR?
22
0 45°
0 539
097

Answers

Answer:

53degrees

Step-by-step explanation:

Find the diagram attached

<PQR = 75degrees

From the diagram'

<SQR + <PQS = <PQR

<SQR + 22 = 75

<SQR = 75-22

<SQR= 53degrees

Hence the measure of <SQR is 53degrees

PLEASE HELP GEOMETRY

which transformation is shown here

A) dilation
B) reflection
C) rotation
D) translation

Answers

Answer:

reflection

Step-by-step explanation:

The transformation is a reflection across the dashed line.

Answer: reflection

Answer:

B) reflection

Step-by-step explanation:

A reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis or plane of reflection.

Hope it is helpful...

find the measurement of angle RST​

Answers

Answer:

Angle RST is nowhere to be found

Step-by-step explanation:

Help us help you. Please include enough information to answer your question.

1. Find the value of x.
X+ 15.92 = 21.378

Answers

Answer:

x= 5.458

Step-by-step explanation:

x+15.92 = 21.378

  - 15.92   - 15.92

x = 5.458

Helpful hint: You just have to use inverse opperation to solve these problems

So, basically the opposite of what it is.

what is congruent angle?

Answers

Answer:

Congruent angles have the same angle measure. For example, a regular pentagon has five sides and five angles, and each angle is 108 degrees. Regardless of the size or scale of a regular polygon, the angles will always be congruent.

Answer:

Congruent angles have the same angle measure. For example, a regular pentagon has five sides and five angles, and each angle is 180 degrees. Regardless of the size or scale of a regular polygon, the angle will always be congruent..

Students and adults purchased tickets for a recent school play. All tickets were sold at
the ticket booth (discounts of any type) were not allowed.
Student tickets cost $8 each, and adult tickets cost $10 each. A total of $1,760 was
collected. 200 tickets were sold.
b. Solve the system you create to find the exact number of student tickets sold and
adult tickets sold.

Answers

Answer:

120 student and 80 adult tickets

Step-by-step explanation:

8x + 10y = 1760

x + y = 200

What is the value of k in the linear pair below?
A straight line. A line comes out of the line to form angles 104 degrees and k.
A. 14 degrees
B. 76 degrees
C. 104 degrees
D. 180 degrees

Answers

B. I do know if it’s a triangle but 180 degrees is what you need to get to so 104+76=180

Please if your able to solve this pls do. I’d really really extremely appreciate it if someone would!

Answers

Answer:

32

Step-by-step explanation:

1-4

Answer:

1331/x =x²/1331

cros multiplying

x³=1331²

x=³√(1331²)

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