All categories

2 years ago

What are the dimensions of a rectangle with an area of 12 square cm and a perimeter of 14 cm?

Mathematics

2 answers:

miskamm [114]2 years ago

6 0

Answer:

4cm length 3cm height

Step-by-step explanation:

kow [346]2 years ago

5 0

Answer:

For the rectangle

Length=ℓ

Breadth=b

Area is 12 cm2

ℓb=12

Perimeter is 16 cm

2(ℓ+b)=16

ℓ+b=8

Substitute b=12ℓ from first equation

ℓ+12ℓ=8

ℓ2+12=8ℓ

ℓ2−8ℓ+12=0

Use quadratic formula (x=−b±√b2−4ac2a) to find ℓ

ℓ=−(−8)±√(−8)2−(4×1×12)2×1

ℓ=8±√162

ℓ=8±42

ℓ1=8+42=6

ℓ2=8−42

Step-by-step explanation:

For the rectangle

Length=ℓ

Breadth=b

Area is 12 cm2

ℓb=12

Perimeter is 16 cm

2(ℓ+b)=16

ℓ+b=8

Substitute b=12ℓ from first equation

ℓ+12ℓ=8

ℓ2+12=8ℓ

ℓ2−8ℓ+12=0

Use quadratic formula (x=−b±√b2−4ac2a) to find ℓ

ℓ=−(−8)±√(−8)2−(4×1×12)2×1

ℓ=8±√162

ℓ=8±42

ℓ1=8+42=6

ℓ2=8−42

You might be interested in

Find tan theta if theta is an angle in standard position and the point with coordinates (4,3) lies on the terminal side of the a

Karolina [17]

Answer: 0.75

Step-by-step explanation:

We can do this by drawing a terminal side in a standard position and then drawing the associated triangle. We then use the Pythagoras theorem to find the missing side the hypotenuse. Then, this will give a Pythagorean Triplet of 3, 4 and 5.

We now have a triangle with the values of:

x = 4

y =3

h^2= 4^2 + 3^2

h^2 = 16 + 9

h^2 = 25

h = 5

Tangent = opposite/adjacent

= y/x

= 3/4

= 0.75

8 0

2 years ago

Please help please☺

Lera25 [3.4K]

1. Felicia is 2 years old (2 cubed is 8)

2. If you take 288 times 3 and divide it by 4= 216
And 216 is a perfect cube

7 0

2 years ago

Read 2 more answers

An experiment observing the growth of two germ strand populations finds these patterns.

Mice21 [21]

Answer:

$R(x) = (1.3)^{3x-8}$

Step-by-step explanation:

Given

$A(x) = (1.3)^{x + 9}$

$B(x) = (1.3)^{4x + 1}$

Required

Ratio B(x) to A(x)

This is calculated as:

$R(x) = B(x) : A(x)$

Express as fraction

$R(x) = \frac{B(x) }{A(x)}$

Substitute: $A(x) = (1.3)^{x + 9}$ and $B(x) = (1.3)^{4x + 1}$

$R(x) = \frac{(1.3)^{4x+1}}{(1.3)^{x+9}}$

Apply law of indices

$R(x) = (1.3)^{4x-x+1-9}$

$R(x) = (1.3)^{3x-8}$

6 0

2 years ago

Whatbis the slope of a line that is perpendicular to the line y= 2x-6? A. -2

ICE Princess25 [194]

Answer:

D. -1/2

Step-by-step explanation:

When a line is perpendicular to another line the slope will be the exact opposite. For example line A = y = 3x + 5 the line perpendicular to it will be -1/3x.

So -1/2 is the slope of your perpendicular line.

4 0

2 years ago

The area of a triangular board is 150.5 square inches.The base is 43 inches.What is the height?

olga nikolaevna [1]

Answer: height is 7 inches

Step-by-step explanation:

height=2 ×Area/Base

= 2 (150.5/43)

=2 (3.5)

h = 7

6 0

2 years ago