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

In New Mexico, the state sales tax rate is 5.125%. The price tag on a baby crib gives the price as $320. There are no discounts available. What is the total cost for the crib, including sales tax, in New Mexico? *

Answers

Answer: $336.40

Step-by-step explanation: 5.13% of $320 would be $16.40 just add that on to the before tax price.

which graph could represent a function ? ?

Answers

Answer:

The third Graph

Step-by-step explanation:

Using the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Answer:

The third Graph

Step-by-step explanation:

A cashier works 40 hours each week, earns $7.50 per hour, and works 50 weeks each year

Answers

Answer:

the cashier would have 15000 dollars at the end of the year.

Step-by-step explanation:

is that what you were asking?

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Answers

Answer:

55

Step-by-step explanation:

75+50=125

180-125=55

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Answer:

i       edgggg   g t   g        h tr  fe erfg bh  hnhy r hrh r    r t hth

Step-by-step explanation:

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What’s this? I need help

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Answer:

Its PS equals QR: A

Step-by-step explanation:

Ryan was paid $75 for
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How much money
did he make per hour?

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B. $12

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Answers

Answer:

the answer is b

Step-by-step explanation:

12:

Step-by-step explanation:

Tell whether the ordered pair (-4,-2) is a solution of the system of linear equations.

Y= 2x+6
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Answers

The ordered pair (-4,-2) is a solution for both of the equations

Solve for X.

x+3
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Answers

Answer:

First find the hypotenuse of the small triangle then use that value as the base of the upper triangle. Evaluate the equation formed with the “x"

4 +14 x 17 x 4 + 3
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Answers

959
You do 14 times 17 then times that by 4 that add 4 and 3

A piece of timber is x cm long. 9 cm is cut off how much is left

Answers

Answer:

x-9cm

Step-by-step explanation:

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what’s the answer and how did you get it? i’m confused

Answers

Answer:

The answer is 3.

Step-by-step explanation:

Because you should put the gh with gh, 2  is equivalent to 2 (so the 2 disappeared) and you only have 8-7=1 plus 2=3.

Answer: The given expression is 8g^2h-7gh+2

The degree of 8 g^2 h is 2, 1

The degree of - 7 g h is 1

The degree of 2 is 0

But the degree of expression will the highest degree of the indivisual expression of above i.e 3.

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Find the volume of the cube in inches3 below. Then select the correct units
when entering your answer.
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7 in.
7 in
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cu, in
sq. in

Answers

Answer:

21 cubic inches (or cu. in)

Step-by-step explanation: Multiply 7 by three

What is the Equation of the Line Passes through the points (-4,8) and (1,3)

show work please, i need these asap and thx for trying :)

Answers

Answer: y = –x + 4

Explanation:

y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of line passing through points (-4,8) and (1,3)

m=3-8/1+4

=-5/5=-1

Now we need to find the y intercept

8=-1(-4)+b

8=4+b

b=4

Hence, y=-x+4 is the Equation of the Line Passes through the points (-4,8) and (1,3).

To learn more on slope of line click:

https://brainly.com/question/14511992

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Can someone please help me

Answers

Answer:

y=89

Step-by-step explanation:

because if you take y-47 okay then you do 47+42 giving you what that ange is because they are the same angle they should both be 42

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Answers

All the angles in a circle equal to 360 degrees. So basically just add up all the known values: 23+23+15=61 and then subtract that from 360: 360-61=299.

You can also do 23+23+15+x=360. Adding it all becomes 61+x=360, subtract 61 from both sides of the equation, and you get x=299.

(Something to help remember is that the angle is obtuse, meaning it’s automatically more than 90 degrees, hope this helps!)

6th grade math help me pozzzz

Answers

Answer:

t= -9/10= -0.900

Step-by-step explanation:

A line passes through (−2, 5) and has slope 1/3 . What is an equation of the line in point-slope form?

Answers

Answer:

point-slope form is : y - y1 = m(x -x1) where m is the slope and y1 and x1 is the point. plug in the given values. since the question wants it in point-slope, you leave it as is.

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Step-by-step explanation:

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Answers

Answer:

D.

Step-by-step explanation:

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The cost of a t-shirt was $30. Now the t-shirt costs $37.50. What is the percent of change? Do the work on your own paper and write your answer as a number.

Answers

Answer:

25%

Step-by-step explanation:

Given that,

Initial cost of a t-shirt = $30

Final cost of a t-shirt = $37.50

We need to find percent of change. The percentage change in any value is given by :

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Hence, the percentage error is 25%.

PLZ HELP ILL GIVE BRAINLIEST

Answers

Answer:

-1 -9i, where a = -1 and b = -9

Step-by-step explanation:

1st step is to open up the brackets. Since there's a (-) in front of the second bracket, we have to multiply every term by -1, so positive becomes negative, negative becomes positive etc.

4-i-5-8i

Then we collect like terms.

-1 -9i

This is the answer. It looks wrong since the variables are 'positive' in a +bi, but you have to remember that a variable can be represented as a, but its actual value could be negative, in this case -1. This is the same with b, as b could be the same as -9.

This is an expression, so we can't multiply everything by -1 to make it 'look right'. You can only multiply by -1 or 'alter' the terms when the expression equates to something.

BRAINLIEST

Like terms of 6ab^2

1. -3ab

2. 2ab^2

3.-6a^2 b^2

4.-5ab^2

5.6ab

Answers

Answer:

2nd option is the right answer

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Answers

Answer:

C

Step-by-step explanation:

you can make a right triangle from the center of one base to the edge of that circle, and then up to a point on the circumference of the other base

the bases of the triangle would be 2 and 5

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Answers

Answer:

9.0, 9.012, 9.201, 9.210

Step-by-step explanation:

9.0 has no decimal numbers, so it goes at the beginning, 9.012 is the next greatest, then 9.201, and finally, 9.21. Also, a zero at the end of a decimal number adds nothing.

9.0 , 9.012 , 9.201 , and greatest is 9.210 hope this helps

Which expression is equivalent to 12(4m−2n+4)?
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2.2m−2n+4
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4.8m−4n+8

Answers

Answer:

1. 2m - n + 2

Step-by-step explanation:

12×4m - 12×2n + 12×4. ( because 12 is multipled by whole bracket)

48m - 24n + 48.

2m - n + 2. (by finding common factor 24)

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Answers

Step-by-step explanation:

f(3)= -2×3²+3+1

= -18+3+1

= -14

hope it helps.

Answer: = ± 2 √ 2

Step-by-step explanation:


゚+*:ꔫ:*
A. (2, 1)
B. (1, -2)
C. (1, 2)
D. (-1, 2)


♡━━━━━━━━━♡
︎thank you! ♡´・ᴗ・`♡

Answers

Answer:2,1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

What is the equation of a line with slope 4 and passes through point (4,2)?

Answers

Answer:

y = 4x - 14

Step-by-step explanation:

Use point-slope form and substitute the values.

y - 2 = 4(x - 4)

y - 2 = 4x - 16

y = 4x - 14

Write an equation of the line passing through point P(2, 3) that is perpendicular to the line y -4 = -2(x+3)

Answers

Perpendicular = opposite sign and reciprocal slope
Slope of -2 turns into 1/2
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