If one of the diagonals of a rectangle is 20cm and the difference between the length and the width is 4cm. What is the area of the triangle

Answers

Answer 1

Answer:

192cm²

Step-by-step explanation:

The diagonal of the rectangle is expressed using the formula:

d = √l²+w²

l is the length

w is the width

Given d = 20

20 = √l²+w²

400 = l²+w² .... 1

Since the difference between the length and the width is 4cm, then;

l - w = 4 ... 2

l = 4 + w

Substitute equation 2 into 1;

400 = (4+w)²+w²

400 = 16 +8w + w² +w²

400 = 16 + 8w + 2w²

2w²+8w - 384 = 0

w²+4w - 192 = 0

w = -4±√4²-4(-192)/2

w = -4±√16+768/2

w = -4±28/2

w = -4+28/2

w = 24/2

w = 12

Since l = w+4

l = 12+4

l = 16

Area of the rectangle = 16 * 12

Area of the rectangle = 192cm²

Answer 2

Answer:

rytytyf

Step-by-step explanation:

yiyiuyiuy


Related Questions

What is chipset what role its play:}​

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Answer:

a chipset is a system of electrical components which are needed to work for microprocessors.the chipset is to do with the the components on the motherboard

Step-by-step explanation:

pls mark me as brainliest!!<3

ʟɪᴠɪɴɢ ᴏɴ ᴛʜᴇ ᴍᴏᴛʜᴇʀʙᴏᴀʀᴅ, ᴀ ᴘᴄ's ᴄʜɪᴘsᴇᴛ ᴄᴏɴᴛʀᴏʟs ᴛʜᴇ ᴄᴏᴍᴍᴜɴɪᴄᴀᴛɪᴏɴ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇ ᴄᴘᴜ, ʀᴀᴍ, sᴛᴏʀᴀɢᴇ ᴀɴᴅ ᴏᴛʜᴇʀ ᴘᴇʀɪᴘʜᴇʀᴀʟs. ᴛʜᴇ ᴄʜɪᴘsᴇᴛ ᴅᴇᴛᴇʀᴍɪɴᴇs ʜᴏᴡ ᴍᴀɴʏ ʜɪɢʜ-sᴘᴇᴇᴅ ᴄᴏᴍᴘᴏɴᴇɴᴛs ᴏʀ ᴜsʙ ᴅᴇᴠɪᴄᴇs ʏᴏᴜʀ ʙᴇsᴛ ᴍᴏᴛʜᴇʀʙᴏᴀʀᴅ ᴄᴀɴ sᴜᴘᴘᴏʀᴛ

Which weighs more: a watermelon that weighs 7.5 kilograms or a baby that weighs 12 pounds?

Answers

Answer:

The watermelon

Step-by-step explanation:

12 pounds would be around 5.450 kilograms

Which description best Fitz the graph?
PLS HELP ME NEED THIS ASAP

Answers

Answer: always decreasing

Step-by-step explanation:

Since it goes down without going back up it is always decreasing

It’s always decreasing

Find the area of this parallelogram.

Answers

Answer:

The area is 260 sqaure units.

Step-by-step explanation:

Finding the area of a parallelogram is like finding the area of a rectangle. The base times the height equals the area. As a result, you would multiply 20 by 13 to get 260.

hereeee lol& thanks again<3!

Answers

Answer:

-1/2 is the slope. This means that the graph moves down one unit, and right 2 units (over and over again)

-1 is the y-intercept. This is where the line hits the y-axis

start by plotting the y-intercept (0,-1)

then move down one unit, and right two units, and plot another point.

this is the line y=-1/2x-1

Step-by-step explanation:

Step-by-step explanation:

hope it helps

............

What is the circumference and radius of a circle with a diameter of eight and a half inches?

Answers

Answer:

the radius 4.25

Step-by-step explanation:

transforming quadratic graphs

Answers

Answer:

f(x) = 3(x - 2)² + 4

OR  

f(x) = 3x² - 12x + 16

Step-by-step explanation:

Vertex form of a parabola:

y = a(x - h)² + k

Standard form of a parabola:

y = ax² + bx + c

Let's find the vertex of this parabola.

(h, k) → (2, 4)

In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.

Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.

7 = a[(3) - (2)]² + 4

Simplify using PEMDAS.

7 = a(1)² + 47 = a + 4

Subtract 4 from both sides.

a = 3

Now we have (h, k) and a of the vertex form.

y = a(x - h)² + k  → y = 3(x - 2)² + 4

In order to convert from vertex to standard form, simplify the equation by FOILing.

y = 3(x - 2)² + 4y = 3(x² - 4x + 4) + 4

Distribute 3 inside the parentheses.

y = 3x² - 12x + 12 + 4

Combine like terms.

y = 3x² - 12x + 16

Therefore, we have the answer:

Vertex form:

f(x) = 3(x - 2)² + 4

Standard form:

f(x) = 3x² - 12x + 16

can someone PLEASE help on any of these i’m so confused

Answers

14.)139°
15.)90°
16.) 41°
17.)49°
18.)139°
19.)131°
20.)109°
21.)66°
22.)124°

I’ll give u brainilest just help

Answers

Answer:

11 44 0.250

18 48 0.375

11 40 0.275

about number 3 i have no idea

Step-by-step explanation:

prove me wrong

Fred has 45 books. Sally has 27 times more books than Fred. How many books does Sally have?

Answers

Answer:

fred = 45 books

sally has 27 times more book than fred

sally = 45 X 27

= 1215 books

anyone know how to do this? will give brainlest! if you cant help, have a great day!!!

Answers

M= 2 :) I hope this helped you
Answer:m will equal 2Step-by-step explanation:i see it like this: Given the equation D=m/v if d=2/3 and v=m+1., then m= 2 because if u just look at m to see where it's at u would have the answer.also it basically gave u the answer.can i get brainliest or not but i need 10 to get to Expert i have all 1,000 points i just need 10 brainliests.

The distance from C to D is 24 miles. The distance from B to C is 2/3 of the distance from C to D. The distance from A to B is 3/8 of the distance from B to C. What is the distance from A to B?

Answers

Answer:

AB is 6 miles

Step-by-step explanation:

Here, we want to get AB

From the question;

CD = 24

BC = 2/3 * 24 = 16

AB = 3/8 * BC

AB = 3/8 * 16

AB = 6 miles

Please help if possible!
Match the angle relationship with each given angle pair.

Answers

Answer:

???

Step-by-step explanation:

Please help, due today

Answers

Answer:

See below.

Step-by-step explanation:

The domain refers to the x values used in the equation/graph. The line appears to go from -10 to 10 on the x-axis. The dots above -10 and 10 are not shaded in meaning those x values do not count towards the domain meaning we will use parenthesis instead of brackets for interval notation or no equal to signs in inequality notation.

Interval Notation: (-10, 10)

Inequality Notation: -10 < x < 10

What is the final price of an item that cost $38 with 90% mark-up

Answers

Answer:

$342.00

Step-by-step explanation:

38 x 90  = 3420

Answer:

72.2

Step-by-step explanation:

38 * 190%

O salário de um artista é calculado através da função y = 2000 + 500x onde Y representa o valor total em Reais recebido em um mês de trabalho e "x" o número de shows realizados no mês. Qual foi o salário desse artista no mês em que realizou 12 shows?

Answers

Answer:

The artist's salary in the month is 8000.

Step-by-step explanation:

The salary of an artist is given by the function :

y = 2000 + 500x ....(1)

where Y represents the total amount in Reais received in a month of work and "x" the number of shows performed in the month.

We need to find the artist's salary in the month she performed 12 shows.

Put x = 12 in equation (1)

y = 2000 + 500(12)

= 2000 + 6000

= 8000

Hence, the artist's salary in the month is 8000.

Please helpppp I want to go to sleep xD (There's a screenshot)

Answers

Answer:

Step-by-step explanation:

2n-8   :)     zzzzzzzzzzzzzzzzzzzzz  :P

Answer:

2n - 8

Step-by-step explanation:

Combine like terms in the parenthesis 2(1n - 4)

The distribute (multiple both of the terms inside by 2)

It gives 2n - 8

What is the radius of the circle?

Answers

Answer: The circumference of a circle is equal to Pi π times the diameter d . Since the diameter d is equal to 2 times the radius r , the formula for circumference using radius is 2πr 2 π r .

Step-by-step explanation:

Answer:

radius=area÷2

radius=9÷2

radius=4.5

Which value of x satisfies the equation } (x – 3) = -12
-8
7
- 7
8

Answers

Answer:

x = -8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

(x - 3) = -12

Step 2: Solve for x

Add 3 to both sides:          x = -8

HELP ILL MARK YOU BRAINLIST write in y=mx+b form HELP ILL MARK YOU BRAINLIST write in y=mx+b form

Answers

Answer:

im pretty sure it is.

y=-1/4x +3

Good luck!

Answer:

y = -1x/4 + 3

Step-by-step explanation:

m = slope

b = y intercept

which one is greater 20 ounces or 20 grams

Answers

Answer:

20 ounces

Step-by-step explanation:

Answer:

20 ounces

Step-by-step explanation:

20 grams in ounces is 0.7055

and 20 ounces in grams is 566.99

m∠1=(3x+8)°​, m∠2=(3x+18)°​, and m∠3=(7x+9)°. What is m∠​3?

Answers

Answer:

87.4°

Step-by-step explanation:

(3x + 8) + (3x + 18) + (7x + 9) = 180

3x + 8 + 3x + 18 + 7x + 9 = 180

add the common numbers

13x + 35 = 180

subtract 35

13x = 145

divide 13

x = 11.2

then plug it back in to m<3

7(11.2) + 9

78.4 + 9

= 87.4°

x + 7 < 15
I need to know what this answer is and quick

Answers

Answer:

x<8

Step-by-step explanation:

x+7<15

x<15-7

x<8

[tex]hope \: it \: helps[/tex]

2+0+3+4+9+6 ?? please

Answers

Hey there!

The answer is 24

2+0

2

2+3

5

5+4

9

9+9

18

18+6

24

Have a good day!

P.S. UMMMMMMMMM

solve for x it is a parallelogram please help

Answers

Answer:

UW = EW+UE=2×EW because, EW=UE

7x-2=2×6= 12

7x=14

x=14/7

x=2

2 is the right answer.

Find the slope and y intercept for the equation.
y = -6.75x + 8.54

Answers

Answer:

the y intercept is 8.54 and the slope would be 0

Step-by-step explanation:

use to do these

A
,
B
and
C
are points on a circle with
A
C
as a diameter.
A
B
C
is a right-angled triangle.

Work out the total area of the regions shaded in the diagram.
Give your answer correct to 1 decimal place.

Answers

Answer:

Area of the shaded portion = 54.5 cm²

Step-by-step explanation:

Solve first for the area of the circle:

[tex]area \: of \: circle = \pi {r}^{2} \\ = \pi( \frac{d}{2} )^{2} \\ = \pi( \frac{10}{2} )^{2} \\ = 25\pi \: or \: 78.5398 {cm}^{2} [/tex]

Then, compute for the area of the triangle:

[tex]area \: of \: triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} ( {8})(6) \\ = 24 {cm}^{2} [/tex]

Since we only needed the shaded portion, we have to subtract the area of the triangle from the area of the circle

[tex]25\pi {cm}^{2} - 24 {cm}^{2} = 54.5398 {cm}^{2} [/tex]

Question Progress
Simplify fully
a) 8c^4d^5÷2c3^d^3
b)9a3b5/3ab2​

Answers

Answer:

A.) 4cd^2

B.) 3a^2b^3

Step-by-step explanation:

simplify by following the rules to adding exponents

If the sequence, 1,3,5,7,9,..... Is called A(n), where n is the nth term. What term is A(3)?

Answers

Answer:

Third term (5)

Step-by-step explanation:

A(3) is the third term which is 5.

Answer: Tn=2n−1.

Step-by-step explanation:

I need help with this ​

Answers

Answer: 72 units^2

Explanation:
Triangle to the left, you do 5(6) and get 30, but since it's a triangle, you divide by 2 and get 15. Middle rectangle, 6(8) is 48. Right triangle, 3(6) is 18, 18/2 is 9. Add them all up 15+48+9 and you get 72. Hope this helped!
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