Two sides of a rectangle differ by 3.5cm.Find the dimensions of the rectangle if its perimeter is 67cm.
the answer should contain step by step and understandable explanation.

Answer:

Area = 230 cm

Step-by-step explanation:

We can split this shape into different parts: a rectangle and a triangle (I attached an image below as a visual aid).

The area of a rectangle is given as:

[tex]Area = width * length[/tex]

and the area of a triangle is given as:

[tex]Area = \frac{1}{2} *base * height[/tex]

Let's first solve for the area of the rectangle. The width of the rectangle is 20cm, and the height of the rectangle is 7cm. So, the area is 7 × 20 = 140cm.

Now, let's solve for the area of the triangle. The base of the triangle is 20 cm, and the height of the rectangle is 16 - 7 = 9cm. So, the area is [tex]\frac{1}{2} * 20 * 9[/tex] = 90cm.

We add the two values together to get the combined area of the shape. 140 + 90 = 230 cm.

Answer:

4(x + 12) = 4x + 48

Step-by-step explanation:

Answer:

2(2x + 6)

Step-by-step explanation:

Answer:

16.225

just times 2.5 times 6.49

Answer:

rise over run

Step-by-step explanation:

you count the y axis from one point on a line to another then you count the x axis from the same two points and turn this into a fraction of y over x

y/x this is the slope

Answer:

the force exerted is 10 newton

Answer:

parallel i believe

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Ferdinand's equipment is higher than Rachel's equipment.

Answer:

skewed right

Step-by-step explanation:

It is skewed to the right.  There are 6 entries for 11. No other number comes close to the amount. 12 has 1 entry and 13 is the end of the graph. This definitely favors the right hand side.

Answer:y=4x -7

Step-by-step explanation:

The slope intercept form is: y= mx + b

Y+3 = 4(x-1) step one distribute 4

Y+3= 4x - 4 step two subtract 3 from both sides

Y=4x -7

Answer:

for more math help use the app called connects

Answer:

a:t

b:t

c:t

d:t

Step-by-step explanation:

Answer:

88 would be the answer maybe.....

Answer:

88

Step-by-step explanation:

Answer:

5.15

Step-by-step explanation:

I hope this helps have a great day

Answer:

a=-8

Step-by-step explanation:

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}AE [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {1}{2}}21[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD={\dfrac {21}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf BD=10.5cm [/tex]

The line BD will be 10.5cm in the triangle ABC. Thus option D is correct.

A closed shape with both inner and exterior angles, a triangular is created by three lines.  the fundamental geometric shapes. a vertex-filled triangle. There is only one distinct triangle if the product of two fades on the sides is bigger than the longest side. 

The value of AE is given as 21.

From the diagram that is given, it is indicated that according to the midpoint theorem

BD║AE

Also, BD= 1/2 ×AE

BD = 21/2

BD = 10.5 cm.

Therefore, option D is the correct option.

Learn more about triangles, Here:

https://brainly.com/question/2773823

#SPJ2

The question is incomplete, the complete question will be :

A. 42

B. 21

C. 11.5

D. 10.5​

Answer:

Step-by-step explanation:

A(1,7); B(-3,-1); slope m =(-1-7)/-3-1) = -8/-4 = 2

Equation of a line AB is

((y-y1) = m(x-x1)

y - 7 = 2(x-1)

y - 7 = 2x-2

y = 2x + 5

Answer:

y = 2x +5

Step-by-step explanation:

Equation of a line

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The image provides two points A(1,7) and B(-3,-1), thus the slope is:

[tex]\displaystyle m=\frac{-1-7}{-3-1}[/tex]

[tex]\displaystyle m=\frac{-8}{-4}[/tex]

m = 2

Now we apply the point-slope form taking the point (1,7):

y - 7 = 2 ( x - 1 )

Operating:

y - 7 = 2x - 2

Adding 7:

y = 2x +5

9514 1404 393

Answer:

  domain: {3, 5, 7, 11, 13, 15}

  range: {-18, -2, 0, 8, 14}

  yes, it is a function

Step-by-step explanation:

The domain is the list of numbers in the x column: {3, 5, 7, 11, 13, 15}.

The range is the list of numbers in the y column. Usually duplicates are removed. It is often useful to order the numbers, but is not strictly necessary. The range is {-18, -2, 0, 8, 14}.

No x-value is repeated, so the relation IS A FUNCTION.

Answer: yes but... i might be wrong so i think no cause i had a question like this and it was no

Step-by-step explanation:

Answer:

x=-.5

Step-by-step explanation:

Answer:

$188

Step-by-step explanation:

first you would do 87 + 7 which is 94

then multiply it by 2 which is 188

hope this helps :)

Answer:

The original price of the jacket was $188

Step-by-step explanation:

1/2x - 7 = 87

      +7     +7

1/2x = 94

x2       x2

x = 188

Answer:

Step-by-step explanation:

The question is ambiguous. Is the longer side the hypotenuse of the length of the other leg making up the right angle.

The missing side is the hypotenuse

x + 2x + sqrt(x^2 + (2x)^2 ) = 28

3x + sqrt(x^2 + (2x)^2 ) = 28

sqrt(x^2 + (2x)^2 ) = 28 - 3x                 Square both sides

x^2 + 4x^2 = 784 - 168x + 9x^2

5x^2 = 784 - 168x + 9x^2

0 = 784 - 168x + 4x^2                         Use the quadratic formula to solve this. It does not factor.

x = 5.34

2x = 10.68

hypotenuse = sqrt (5*5.35^2)

hypotenuse = 5.35*sqrt(5)

hypotenuse = 11.96

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

Shortest leg = 5.35

Other leg = 10.7

Hypotenuse = 11.96

Total = 28.01

So the answer is mathematically correct for the hypotenuse being the unknown.

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If the leg is unknown, then I'll set up the equation and you can solve it.

x + sqrt(4x^2 - x^2) + 2x = 28             subtract x from both sides

sqrt(4x^2 - x^2) + 3x = 28                   Square both sides

sqrt(3x^2) = 28 - 3x                    

3x^2 = 784 - 168 + 9x^2

6x^2 - 168x + 784 = 0

x = 5.91

You can carry on from here.

Answer:

Step-by-step explanation:

Let's call the sides a,b,c

P=28 so

a+b+c=28

twice as long means a = 2b  substitute in equation above

2b+b+c=28

3b+c=28

but we also know is a right triangle so thhe Pythagorean Theorem can be apply yet we shoud figure what side is the hypothenuse

Since a=2b, b-cannot be the hypothenuse because is not the biger side so is eithher a or c

a² = b²+c² or c² = b²+a² substitute a² for (2b)²=4b²

4b² = b²+c² or c² = b²+ 4b²

3b² = c² or c² = 5b²

yet 3b+c=28, c=28-3b, so c²= 28²- 168b+9b² =9b²-168b+784

9b²-168b+784=3b² or 9b²-168b+784=5b²

6b²-168b+784=0 or 4b²-168b+784=0

and probably solve using quadratic equations

Answer:

I am pretty sure it’s either the first one or the last one

Step-by-step explanation:

Answer:

D) -5/2

Step-by-step explanation:

(0, 5) (8, -15)

-15 - 5 = -20

8 - 0 = 8

-20/8 = -5/2

Answer:

How  do I have the same problem as a high schooler when im in 6th grade

Step-by-step ex

jsn=55

Answer:

x = - 8

Step-by-step explanation:

To find the zero, let y = 0 in the equation and solve for x

- 4x - 12(0) = 32 , that is

- 4x = 32 ( divide both sides by - 4 )

x = - 8

Answer: Positive 7/16

Step-by-step explanation:

Answer:

7/16

Step-by-step explanation:

because the opposite of a negative is a positive.