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Lyrx [107]
3 years ago
15

If you have 14 feet of fencing, what are the areas of the different rectangles you could enclose with the fencing? Consider only

whole number dimensions
Mathematics
1 answer:
disa [49]3 years ago
8 0

Answer:

Area of rectangle possible. : 6ft² ; 10 ft², 12 ft²

Step-by-step explanation:

Feets of fencing = 14

Perimeter = 14

Let x = Length y = width

Perimeter = 2(x + y)

For x = 1

2(1 + y) = 14

1 + y = 7

y =6

Area of rectangle ; x *y = 1 * 6 = 6 ft²

For x = 2

2(2 + y) = 14

2 + y = 7

y = 5

Area of rectangle ; x *y = 2 * 5 = 10 ft²

For x = 3

2(3 + y) = 14

3 + y = 7

y =4

Area of rectangle ; x *y = 3 * 4 = 12 ft²

For x = 4

2(1 + y) = 14

4 + y = 7

y = 3

Area of rectangle ; x *y = 4 * 3 =12 ft²

Hence, Area of rectangle possible. : 6ft² ; 10 ft², 12 ft²

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find the coordinates of the vertex of the following parabola algebraically. write your answer as an (x,y) point..y=x²+9
Alexandra [31]

Explanation:

using the parabola formula:

y = a(x-h)² + k²

vertex = (h, k)

We are given a parebola equation of: y = x²+9

comparing both equations to get the vertex:

y = y

a = 1

(x-h)² = x²

x² = (x + 0)²

(x-h)² = (x + 0)²

h = 0

+k = +9

k = 9

The vertex of the parabola as (x, y): (0, 9)

3 0
1 year ago
Find the radius of a circle whose circumference is 31.4 centimeters. Approximate Π as 3.14.
sladkih [1.3K]

The circumference of every circle is   (pi) times (diameter).

The diameter is (2 x radius), so we can write

                  Circumference = (pi) x (2 x radius) .

The question gives us the circumference, and the number to use for (pi).
I shall now pluggum in:

                  (31.4 cm)  =  (3.14) x (2 x radius)

Divide each side by  3.14:       (31.4 cm)/(3.14)  =  2 x radius

Divide each side by 2 :            (31.4 cm) / (2 x 3.14)  =  radius

                                                             5 cm  =  radius 
8 0
3 years ago
Read 2 more answers
Write the explicit formula for the geometric sequence. Then find the fifth term in the sequence.
mr_godi [17]
The sequence:  a 1 = - 4,  a 2 = 8,  a 3 = -16,...
a 2 = a 1 * r
8 = - 4 * r
r = 8 : ( - 4 ) 
r = - 2
a n = a 1 * r^(n-1)
a 5 = - 4 * ( - 2 ) ^4 = - 4 * 16 = - 64
Answer:
The fifth term in the sequence is - 64. 
6 0
3 years ago
Read 2 more answers
Trina buys a pizza in the shape of a circle with a diameter of 14 in what is the area of the pizza​
ioda

Answer:

153.94

Step-by-step explanation:

A = pi * r^2

A = pi * 7^2 (radius is half of the diameter)

A = 49 * pi

A = 153.94

i hope this helps !!

3 0
3 years ago
There are 5 red pens and 10 black pens in a cup. If a person randomly selects 3 of them, what is the probability that they're al
kolbaska11 [484]

Answer:

option a)

0.286

Step-by-step explanation:

Given that,

number of red pens in cup = 5

number of black pens in cup = 10

number of pen randomly selected = 3

There are 5 red pens and 10 black pens. So there are 5 + 10 = 15 pens in all.

probability of having all red pens = (5/15 x 4/14 x 3/13)

                                                       = 2/91

probability of having all black pens = (10/15 x 9/14 x 8/13)

                                                           = 24/91

probability that all pen are of same colour = 24/91 + 2/91

                                                                      =  2/7

                                                                      ≈ 0.286

7 0
3 years ago
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