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user100 [1]
2 years ago
5

A rectangular fence has a perimeter of 184 feet. The length is four feet less than three times the width. Find the length and th

e width. = 2+2
Mathematics
1 answer:
morpeh [17]2 years ago
6 0

Answer:

lenth = 68 [ft]; width=24 [ft].

Step-by-step explanation:

1) if the length is 'l' and the width - 'w', then it is possible

2) to write the condition 'The length is four feet less than three times the width' as 3w-4=l;

3) to write the given perimeter as 2(w+l)=184.

4) then it is possible to make up the system:

\left \{ {{2(w+l)=184} \atop {3w-4=l}} \right. \ = > \ \left \{ {{w+l=92} \atop {3w-l=4}} \right. \ = > \ \left \{ {{w=24} \atop {l=68}} \right.

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Answer:

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If f(x)= x2 + 1 and g(x) = 3x + 1, find 2f(1) + 3g(4)<br><br> •45<br> •43<br> •42
Alex73 [517]

Answer:

the answer is 43.

Step-by-step explanation:

We have functions

f(x) = x^2+1

g(x)=3x+1,

and we want to evaluate

2f(1) + 3g(4)

For this we first evaluate f(1) and g(4) separately:

f(1)=(1)^2+1=2

g(4)=3(4)+1=13

Therefore

2f(1) + 3g(4)= 2(2)+3(13)=43

So we have

\boxed{2f(1) + 3g(4)=43}

3 0
4 years ago
The m∠ACD = (4x + 4)° and m∠ABD = (6x - 14)°. Find m∠ACD.
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3 years ago
Read 2 more answers
Paul orders 3 different sizes of pizzas. Each pizza is cut into equal-sized slices as described in the table. Put the pizzas in
Elza [17]

The area of a slice from smallest area to largest area is given by:

  1. Pizza 1 (32π in²).
  2. Pizza 2 (32.7π in²).
  3. Pizza 3 (36π in²).

<h3>What is the area of a circle?</h3>

The area of a circle can be defined as the total space occupied or region enclosed by a circle within its boundary, and in a two-dimensional plane.

<h3>How to calculate the area of a circle?</h3>

Mathematically, the area of a circle is calculated by using this formula:

Area = πr²

<u>Where:</u>

r is the radius of a circle.

For Pizza 1, we have:

Area = π × 16²

Area = π × 256

Area = 256π in².

Area of a slice = 256π/8

Area of a slice = 32π in².

For Pizza 2, we have:

Area = π × 14²

Area = π × 196

Area = 196π in².

Area of a slice = 196π/6

Area of a slice = 32.7π in².

For Pizza 3, we have:

Area = π × 12²

Area = π × 144

Area = 144π in².

Area of a slice = 144π/4

Area of a slice = 36π in².

In conclusion, we can infer and logically deduce that the area of a slice from smallest area to largest area is given by:

  1. Pizza 1 (32π in²).
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Read more on circle here: brainly.com/question/14478195

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