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

I need help again pls.

Answers

Answer:

4/3

Step-by-step explanation:

sohcahtoa

tan  = opposite/adjacent

tanX = 32/24 = 4/3

Which expression is equivalent to 2(3+a)?
Answers:
A.) : 2a

B.) : 2a+6

C.) 6a+2

D.) 6+a

Answers

Answer:

the answer is b

Step-by-step explanation:

here you go mate

step 1

2(3+a)  equation/question

step 2

2(3+a)  simplify

(2)(3+a)

step 3

(2)(3)+(2a)  add them up

answer

6+2a

HELPPPP MEEEEE!!!!!!!!!!!!!!!

Answers

Answer: multiply by 2

Step-by-step explanation: this will cancel the denominator on the left side

2. Find the slope of the line cuated from the point this table please help ​

Answers

Answer: the slope is -7

Step-by-step explanation: by finding the difference between 14/2 and 7/3, then 7/3 and 0/4, you find that the difference is a negative 7/1 which simplifies to -7.

Please help me answer this

Answers

Answer: 7/8

10-2/12-4= 7/8

Step-by-step explanation:

Answer:

the answer might be number 3

Question 5 of 5
Find the length of side a.
13
a
12
O A. 1
O B. 313
O C. 25
O D. 5

Answers

Answer:

It's D. 5

Step-by-step explanation:

A^2 + B^2 = C^2

The third length of the right triangle is 5 units. Then the correct option is D.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

We have

P = a

B = 12

H = 13

Then

13² = a² + 12²

169 = a² + 144

  a² = 169 – 144

  a² = 25

    a = 5

Then the correct option is D.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

Need the answer in 20 min !! Ty

Answers

Answer:

15

19

14

Step-by-step explanation:

The ratio of blue to red for a purple paint made by
28
mixing 24 oz of red with 28 oz of blue.

Answers

Answer:

28:24

Step-by-step explanation:

Blue to red is 28:24 or 7:6.

Tim’s age is nine more than his sister, Jill. Twice his age added to twice Jill’s age is 330.

Answers

Answer:

jill age is 78 and tim's age is 87

Step-by-step explanation:

let jill age be x then, tim's age is 9+x

by the question,

2(9+x) + 2x = 330

or,18 + 2x + 2x = 330

or,4x = 330-18

or, x = 312÷4

x = 78

9+x= 9+78=87

PLEASEEEE HELPPPP 10th GRADE GEOMETRY!!!

Answers

1 = 30 degrees
2 = 30 degrees
l3 = 120 degrees
4 = 60 degrees
5= 60 degrees
6 = 60 degrees
7 = 30 degrees
8 = 120 degrees
9 = 30 degrees

A rectangle has length (3x+2) and width (2x+1) .

Express the area of rectangle in terms of x.

Note : Area of rectangle is = length . width


A,6x2+5x+36 x squared plus 5 x plus 3

B,6x2+7x+26 x squared plus 7 x plus 2

C.6x2+26 x squared plus 2

D,(6x+3)open paren 6 x plus 3 close paren

Answers

Answer:

B.) 6x² + 7x + 2

Step-by-step explanation:

(3x + 2) ( 2x + 1)

6x² + 3x + 4x + 2

6x² + 7x + 2

The trip from Carville to Planesborough takes 4 hours when traveling at a constant speed of 70 miles per hour. 2 1 How long, in hours, does the trip take when traveling at a constant speed of 60 miles per hour?

Answers

Answer:

2.5 mph

Step-by-step explanation:

70 miles per hour :4 hours

35 miles per hour:8 hours

1 mile per hour:16 hours

60 miler per hour

do 16/6

2.5 hours

~Extra ~ question ~ for ~ the ~ weebs ~ at ~ the ~ end.~
~Can someone help me out on this question?~
~ Which statement must be correct? ~
.
.
.
.
.
~Extra question: From the MHA boys, who is the best MHA character (Including Villains)~
~You can add stuff like:
Hotest boy: ???
Cutest Boy: ???
Toughest boy: ???
Craziest Boy: ???
Most Annoying Boy: ???
etc. you get the idea~

Answers

Answer:

hello~ is this how im sopoused to talk~

Step-by-step explanation:

good bye~

Answer:

Imma be truthful here

Hotest boy: Bakugo

Cutest boy: Deku (everyone can relate) and Mineta

Toughest boy: Todoroki (hes mentally still stable after all that trauma-)

Craziest boy: Shigakari

Most Annoying Boy: Twice

Now imma talk about the mineta thing

Mineta would be the perfect little guy in the series if he wasnt a perv. He's super smart, but lets his single pringle self get in the way. So really he is cute when hes not being a perv.

SOMEONE SMART DO ALL DAY 13 FOR ME, ILL GIVE BRAINLIEST PLZZ IM CRYING

Answers

Answer:

12 shamrocks

6 lbs

3/4 =6/8

Step-by-step explanation:

5x + 4y=-14
3x + 6y = 6

Answers

X=-6 y=4 hope this helped

Your mother gave you $13.32 with which to buy s present. This covered 3/5 of the cost. How much did the present cost?​

Answers

Answer:

The cost of the present is $22.20

Step-by-step explanation:

y=3x−7 Complete the missing value in the solution to the equation. (1,_)

Answers

Answer:

y= -4

Step-by-step explanation:

Since x=1, then you would plug in 1 for x. 3 times 1 is 3, then you subtract 7 to get -4.

Please help I don’t understand

Answers

Answer:

Step-by-step explanation:

so many isosceles triangles

y = 4 .. just by inspection.. we can see

SOH CAH TOA    <= ask me about this if you don't get it

Cos(x) = Adj / Hyp

we don't know the Hyp this time so solve for that

Hyp = Adj / Cos(x)

Hyp = 4 / Cos(45)

Hyp = 4 / [tex]\sqrt{2}/2[/tex]

maybe you know.. but i'll just remind you to bring the fraction up from the denominator... invert and multiply

Hyp = 4 * 2/[tex]\sqrt{2}[/tex]

Hyp = 8/ [tex]\sqrt{2}[/tex]

also we are supposed to write as a decimal rounded to the nearest 10th

Hyp = 5.66

PLEASE HELP ill give brainliest if you answer and explain it correctly!!!!!!!! its due soon
:(((((((((

Answers

Answer:

Step 2

Explanation:

On step 2 they end up multiplying wrong. -3x4 should be -12 not positive 12.

Hope this helps!!

The measures of the angles of a triangle are shown in the figure below. Solve for x.
(5x-3)°
(x+9)°

Answers

Answer:

14

Step-by-step explanation:

5x-3+ x+9 + 90= 180

6x+ 96=180

6x=180-96

6x=84

x=84/6

x=14

Evaluate -31-8+31−31−8+31minus, 31, minus, 8, plus, 31.

Answers

Answer:

-24

Step-by-step explanation:

- 24

-8 -31 -8 + 31 - 31 -8 + 31

-8 -8 - 31 - 8 - 31

-8 -8 -8

-24

Which set of data would most likely show no correlation when graphed
on a scatterplot?

Answers

Answer: A) there is no direct correlation

Step-by-step explanation:

Solve 5x+3=3x+11

Please can someone answer this.​

Answers

5x + 3 = 3x + 11

• first put all the x-values on one side and the rest on the other

Remember: when the number moves to the other side of the equal sign the sign (+ OR - switches. For ex: the 3 on the left becomes negative when moved to the right side of the equal sign)

5x - 3x = 11 - 3

• subtract left and right sides separately

2x = 8

• divide both sides by 2 to solve for x

2x/2 = 8/2

x = 4 (final answer)

5x+3=3x+11
2x+3=11
2x= 8

x=4

If nuts cost $9.20 per pound, how much would 2 1/2 pound cost?

Answers

23 dollars for that.

A rectangle is 2 times longer than it is wide. The diagonal of the rectangle is 15 cm. What is the width of the
rectangle?

Answers

This is fairly simple. Just do 2x15 to get your answer 2x15=30. Explanation if it is 2 times longer you would do 2 and then when it says it is 15 diagonal that is where the 15 comes in and it would be 2x15. So your answer is 30
Your answer would be 30

Which whole number is Square root 42 close to

Answers

Answer:

√42 =  about 6.48  ....... so it's closer to 6

Step-by-step explanation:

Answer: 6 because you would have to round it off

Step-by-step explanation:

A bag contains eleven balls labeled 1 through 11. One ball will be randomly picked. What is the probability of picking a multiple of 3? Write your answer as a fraction in simplest form.​

Answers

Answer:

3, 6, 9 (the multiples of three within 11)

3 out of 11 numbers are multiples of 3

so you have a 3 out of 11 probability to grab a multiple of three

3/11 is your answer

Step-by-step explanation:

Probability of picking a ball of multiple of 3 is equals to (3/11).

What is probability?

" Probability is a mathematical expression which represents the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

'B' represents the ball

Possible outcomes = { B₁, B₂, B₃, ...., B₁₀, B₁₁}

favourable outcomes multiple of 3 = { B₃, B₆, B₉}

Total number of outcomes= 11

Number of favourable outcomes = 3

Substitute the value in the formula we get,

Probability of picking ball multiple of 3 = ( 3 / 11)

Hence, probability of picking a ball of multiple of 3 is equals to (3/11).

Learn more about probability here

#SPJ2

Continue each pattern with the next two numbers
-7, -9, -11,-13
Write the explicit equation for this sequence an
What would the 18th term be in this sequence?



Answers

The 18th sequence is - 41

What percent is represented by the shaded portion on this 10×10 grid

Answers

Oh ok I don’t think

Answer:

75/100% is the correct answer

Step-by-step explanation:

the second one.... you count the shaded in out of 100

Please answer this question

Answers

Answer:

Properties of operations help a lot in solving problems related to integers and rational numbers. Step-by-step explanation: ... These properties are used to solve problems involving rational numbers as well as integers. These properties are associative,commutative, distributive and identity.

Step-by-step explanation:

pls give me brainliest

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