In the rectangular trapezoid ABCD AC is driven by a CD (see figure).
Find the width of the trapezoid if AC = 3, AD = 5.

In The Rectangular Trapezoid ABCD AC Is Driven By A CD (see Figure). Find The Width Of The Trapezoid

Answers

Answer 1

Answer:

solution given:

let's see only in a right-angled triangle Δ ACD.

AC=3 units

AD=5 units

since Δ ACD is a right-angled triangle. It satisfies Pythagoras law

[tex]AD^{2}=AC^{2}+CD^{2}[/tex]

25=9+[tex]CD^2[/tex]

[tex]CD^2[/tex]=25-9=16

[tex]CD=\sqrt{16} =4 units[/tex]

Now

Area of rectangle Δ ACD=[tex]\frac{1}{2} CD*AC=\frac{1}{2}*4*3=6\: square \:units[/tex]

similarly,

[tex]\frac{1}{2} AD*CE=6\: square \:units\\ 5*CE=6*2\\CE=\frac{12}{5}=2.4 units[/tex]

since AB=CE=2.4 units

Δ ACE is a right-angled triangle. It satisfies Pythagoras law.

[tex]AC^{2}=AE^{2}+CE^{2}\\3^2=AE^2+2.4^2\\9-5.76=AE^2\\AE and BC=\sqrt{1.24} =1.11 units[/tex]

now

area of trapezoid=area ofΔACD+Area of ΔABC

=6+[tex]\frac{1}{2}AB*BC=6+\frac{1}{2}*2.4*1.11=6+1.33 =7.33\: square \:units[/tex]

In The Rectangular Trapezoid ABCD AC Is Driven By A CD (see Figure). Find The Width Of The Trapezoid

Related Questions

16,40 and 56 LCM
Solve please

Answers

Answer:

pic?

Step-by-step explanation:

send me the picture please

what is an equation of the line that passes through points (4,-8) (-4,2)?

Answers

Answer:The equation of the line that passes through the points (–12, –8) and (–17, –16) is y + 16 = 8/5(x + 17). slope = (-16 + 8)/(-17 + 12) = -8/-5 = 8/5 y + 16 = 8/5(x + 17)

Step-by-step explanation:

In slope intercept form it would be y=-1.25x-3

Graph all solutions on a number line and provide the corresponding interval notation. 1. 3x + 5>-4 2. 2x+1> -1 3.5-6y < -1 4.7-9y> 43 5.6-a≤6​

Answers

Graphs attached

Done!

Hopw it helps

1.5kg : 350g solve the ratio​

Answers

Step-by-step explanation:

convert kg into grams

1kg=1000g

1.5kg/350g=1.5×1000g/350

1500/350=300/70

=30/7

ratio will be 30:7

answer is 4.2g

The answer to the ratio is:

4.2g

First of all, we need to convert the kg to g

This can be done by multiplying the Kg by 1000

1.5kg x 1000= 1500g

Next, we solve the ratio since they are in the same parameters

This would be 1500g:350g

1500/350= 30/7.

Therefore, the ratio would be 30:7

Finally when further broken down, it would be 4.2g

Read more about ratio here:

https://brainly.com/question/13513438

Adelle starts a savings account with $250. If the interest rate is 3%, find the total amount in the account after 2 years.

Answers

Answer:

265

Step-by-step explanation:

Help pleasee :(
no links.

Answers

-2/12 is a
-0.1 is b
1/9 is c

Hope you find this helpful!
Brainliest and a like is much appreciated!

12. Graph each using graph paper:

X<5

Answers

Answer:

Step-by-step explanation.

(x^2−x−6x^2−8x+16)/(x2−x−12)

What number cannot be the value of x in the expression above? Why?
Question 12 options:

Answers

-3 and 4 cannot be the values of x in the given expression

The expression is given as:

[tex]\frac{(x^2-x-6x^2-8x+16)}{(x^2-x-12)}[/tex]

Start by equating the denominator to 0

[tex]x^2 - x - 12 = 0[/tex]

Expand the above equation

[tex]x^2 - 4x + 3x - 12 = 0[/tex]

Factorize the equation

[tex]x(x - 4) + 3(x - 4) = 0[/tex]

Factor out x - 4

[tex](x + 3) (x - 4) = 0[/tex]

Split

[tex](x + 3)= 0\ or\ (x - 4) = 0[/tex]

Remove brackets

[tex]x + 3= 0\ or\ x - 4 = 0[/tex]

Solve for x

[tex]x =- 3\ or\ x = 4[/tex]

Hence, -3 and 4 cannot be the value of x in the given expression

Read more about expressions at:

https://brainly.com/question/2972832

WILL GIVE BRAINLIEST TO

Answers

Answer: [tex]\frac{(y+2)^{2} }{4} - \frac{(x-4)^{2} }{9} =1[/tex]

Step-by-step explanation: Big brain

Help help help math math math

Answers

Answer:

non-linear

Step-by-step explanation:

The function is non-linear because it does not follow a specific line, rather it curves. A linear function must have a stable slope throughout the relation.

The answer is non-linear. Hope this helps :)

What is 10 1/2 divided by 2 1/4

Answers

Answer:

4.666666667 or 4.6_ (repeating decimal)

What is the slope of the line?

Answers

Answer:

-3/4

Step-by-step explanation:

If f(x) is an exponential function where f(4.5) = 16 and f(9.5) = 60, then find
the value of f(15), to the nearest hundredth.

Answers

The value of f(15), to the nearest hundredth is 253.88

The standard exponential equation is given as:

y = ab^xf(x) = ab^x

If f(4.5) = 16, then;

16 = ab^4.5 ..............1

Similarly, if f(9.5) = 60, then:

60 = ab^9.5 ........................... 2

Dividing both equations will give:

60/16 = ab^9.5/ab^4.5

60/16 = b^9.5-4.5

60/16 = b^5

3.75 = b^5

b = 1.3

Get the value of a. Recall that;

60 = ab^9.5

60 = a(1.3)^9.5

60 = 12.09a

a = 60/12.09

a = 4.96

Get the value of f(15)

f()15 = 4.96(1.3)^15

f(15) = 4.96(51.18)

f(15) = 253.88

Hence the value of f(15), to the nearest hundredth is 253.88

Learn more on exponential functions here: https://brainly.com/question/12940982

What is the value of (-2.8)+0+(-2.6)+6.4

Answers

(-2.8)+0+(-2.6)+6.4
-2.8-2.6+6.4
-5.4+6.4
1

Help please
(1/5 x 5) to the 5th power =

Answers

Answer:

(1/5 x 5) to the 5th power = 1

9. Sofija buys a bracelet for $14.50 plus 8% tax.
Momoka buys a necklace for $12 plus 8% tax.
Enter the sum, in dollars, that Sofija and
Momoka paid, including tax.

Answers

Answer:

$12.96

Step-by-step explanation:

Before Tax Price: $12.00

Sale Tax: 8.00% or $0.96

After Tax Price: $12.96

7. Derek has $20 to spend on used books. Hardcover books cost $5 each and paperbacks cost $2 ea Write an equation that models the situation.​

Answers

You could use 5x+2x=20

Please help me with this question. I will mark you brainliest. ​

Answers

Answer:

Option D : $153

This is how I got that:

9:30 AM to 1:15 PM = 3 hours and 45 minutes

The first hour charges $15 and for the remaining 2 hours and 45 minutes

Mr. Anand is charged 36$. Remember it says that each additional hour or part thereof, so the 2 hours and 45 minutes is considered 3 hours.

So our total for one paddle boat is $51

But Mr. Anand hired three boats so we simply times 51 by 3 and get our solution to the problem:

Mr. Anand must pay $153 or Option D

~That's All Folks~

-Siascon

I am an odd number. Take away one letter and I become even. What number am I?

Answers

Answer:

seven

Step-by-step explanation:

Lol thxx for the points

Pls give brainliest! Also, plz sub to kgirl633 on yt.

Does anyone else like Gavin Magnus? If so what are your favorte things about him! I'mgiving brainliest

Answers

I LOVE OUR SWEET MATCHLESS CHRIST JESUS!

Please help mee!
no links :(

Answers

Answer:

a=0.62, b=7/9, c=10/9

Step-by-step explanation:

Brainliest would be appreciated

Answer:

B, if its not b then its C.

Step-by-step explanation: hope this is correct and helps you!

Examine the figure. What is the measure of angle b?

Answers

Answer:

b =146

Step-by-step explanation:

34 and b form a straight line so they add to 180

b+34 = 180

b = 180-34

b =146

A metric drawing scale of 1:100 typically depicts units in

Answers

Answer:

This usual depicts units in centi-metre

Usually Centi-(and the unit you have)

Step-by-step explanation:

Because it is 1 in 100

100 is what centi means, so centi-metre

Like centipede, an insect with 100 legs

1:100 means 1 in 100

or one centi-metre

Hope this helps!


What is the range of the relation below?

Answers

The pictures aren’t posted
wheres the photo?? i cant help bc theres no numbers

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (What is the circumference of the circle?)

Answers

Use the pythagorean theorem [tex]a^2+b^2 = c^2[/tex] to plug in a = 8 and b = 6. You should find that the hypotenuse is c = 10. The diameter of the circle is 10 units, which leads to the circumference of [tex]C = 10\pi[/tex]

Answer:  [tex]\boldsymbol{10\pi}[/tex]

Pls help as soon as possible thank you

Answers

Answer:

answer is b

Step-by-step explanation:

6x+10

6*-3+10=-8

4x+4

4*-3+4=-8

Write an equation in standard form for the line that passes through (-1, -2) and (3, 0).

Answers

ANSWER: y = 1/2x - 3/2
Ok done. Thank to me :>

What is the answer to the question

Answers

Answer:

1/1

Step-by-step explanation:

Calculate the sum of integers x satisfying 15 ⋮ x and x < 0

Answers

Answer:

radius of the curve=r=150m

coefficient of friction=\muμ =0.6

As car is avoid skidding

\begin{gathered}\\ \sf\hookrightarrow \dfrac{mv^2}{r}=\mu mg\end{gathered}

r

mv

2

=μmg

Cancel m

\begin{gathered}\\ \sf\hookrightarrow \dfrac{v^2}{r}=\mu g\end{gathered}

r

v

2

=μg

\begin{gathered}\\ \sf\hookrightarrow v^2=\mu rg\end{gathered}

↪v

2

=μrg

\begin{gathered}\\ \sf\hookrightarrow v^2=0.6(10)(150)\end{gathered}

↪v

2

=0.6(10)(150)

\begin{gathered}\\ \sf\hookrightarrow v^2=60(150)\end{gathered}

↪v

2

=60(150)

\begin{gathered}\\ \sf\hookrightarrow v^2=900\end{gathered}

↪v

2

=900

\begin{gathered}\\ \sf\hookrightarrow v=30ms^{-1}\end{gathered}

↪v=30ms

−1

Please help

Use the function f(x)=2−5x to fill out the table.
x f(x)
-2 ___
-1 ___
0 ___
1 ___
2 ___

Answers

Answer:

-2 12

-1 7

0 2

1 -3

2 -8

Step-by-step explanation:

[] With the function f(x)=2−5x we can tell that we will plug x into the equation without doing anything to it (x)

-2 ___

f(-2) = 2−5x

f(-2) = 2−5(-2)

f(-2) = 2 + 10

f(-2) = 12

-1 ___

f(-1) = 2−5x

f(-1) = 2−5(-1)

f(-1) = 2 + 5

f(-1) = 7

0 ___

f(0) = 2−5x

f(0) = 2−5(0)

f(0) = 2

1 ___

f(1) = 2−5x

f(1) = 2−5(1)

f(1) = 2 - 5

f(1) = -3

2 ___

f(2) = 2−5x

f(2) = 2−5(2)

f(2) = 2−5(2)

f(2) = 2−10

f(2) = -8

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Other Questions
An objects velocity is 20m/s. How far does it travel why did many leaders want to replace the articles of confederation? Las medidas de posicin dividen una distribucin ordenada en grupos con la misma cantidad de datos. When a person senses a stimulus, the information is sent to multiple parts of the brain for processing and then on to a motor neutron for a response resulting in a voluntary response is known as? Question 7 high school geometry. How did the Congress of Vienna punish France after the defeat of Napoleon?Select one:A) forbidding France to maintain a functional militaryB) by requiring France to give up all territories taken in EuropeC) by forcing France to rewrite its constitutionD) by restoring French monarchs into power An 8 ounce steak costs $12.80. How much would a 32 ounce steak cost? NEED HELP ASAP..plz help study the following reference for a book published by an organization. is anything incorrect? identify the correction for the error or select correct from the options below. american psychological association. 2011. publication manual of the american psychological association. author. estimate the line of best fit using two points on the line Which of these are examples of an access control system? Check all that apply.OpenID44:13OAuthTACACS+RADIUSExpand10. Question I NEED SO BAD another word for a religious group {studies weekly week 14} A. Define dual enrollment.B. What is another name for dual enrollment? A car traveled 133 miles in 4 3/4 hours. What was the cars average speed in miles per hour? di si esta afirmacion es cierta o falsa y justifica en un parrafo de aproximadamente 4 Lineas What is the slope of the line that contains these points?Slope: I lost 100 of my points earlier this weekend but please answer this!!The human activities in two locations are described below:Location A: Oil drilled from several minesLocation B: Unregulated harvesting of treesWhich statement is most likely true?Bird population will increase in Location A because of improved habitat.Air quality will improve in Location A because drilling does not cause pollution.The water will be contaminated in Location B because of increase in oxygen gas.There will be mass migration of animals from Location B because of habitat loss. Which of the following is NOT a function of the skeletal system?A. protecting vital organsB. allowing movementC. storing mineralsD. producing blood cells Help me pls right now I give brainliest which human body system provides protection to most of the major organs