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solniwko [45]
3 years ago
13

The size of a bicycle is determined by the diameter of the wheel. you want a 24-in bicycle for christmas. what is the circumfere

nce of one of the wheels?
Mathematics
1 answer:
kipiarov [429]3 years ago
8 0
Plug 24 into the circumference formula
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If a rectangle has an area of 2x^2+7x+3 find the perimeter
nikdorinn [45]

Perimeter of a rectangle = 6x + 8

Solution:

Given area of a rectangle = 2x^2+7x+3

Let us first factor the given polynomial.

2x^2+7x+3=2x^2+x+6x+3

                    =(2x^2+x)+(6x+3)

Taking out common terms in the above expression

                    =x(2x+1)+3(2x+1)

Taking out common term 2x+1 in the above expression

                    =(2x+1)(x+3)

2x^2+7x+3=(2x+1)(x+3)

Area of a rectangle = l × b

Therefore, l=2x+1 and b=x+3

Perimeter of a rectangle = 2(l + b)

                                         =2[(2x+1)+(x+3)]

                                         =2(2x+1+x+3)

                                         =2(3x+4)

                                         =6x+8

The answer is same if you take <em>l</em> = x + 3 and <em>b</em> = 2x + 1.

Hence, perimeter of a rectangle = 6x + 8.

7 0
3 years ago
If (x+2/2 = y/5, then which of the following must be true?
kkurt [141]

<em><u>Question:</u></em>

If (x + 2)/2 = y /5, then which of the following must be true?

x/2 = (y-2)/5

x/2 = (y-5)/5

(x+2)/5 = y/25

<em><u>Answer:</u></em>

<em><u>The true is:</u></em>

\frac{x}{2} = \frac{y - 5}{5}

<em><u>Solution:</u></em>

Given that,

\frac{x + 2}{2} = \frac{y}{5}

The above expression can be rewritten as:

\frac{x}{2} + \frac{2}{2} = \frac{y}{5}\\\\Simplify\\\\\frac{x}{2} + 1 = \frac{y}{5}

Move the constant 1 from left side of equation to right side of equation

\frac{x}{2} = \frac{y}{5} - 1

Simplify the right side of equation by making the denominator same

\frac{x}{2} = \frac{y}{5} - \frac{ 1 \times 5}{ 1 \times 5}\\\\\frac{x}{2} = \frac{y}{5} - \frac{  5}{  5}\\\\\frac{x}{2} = \frac{y - 5}{5}

Thus \frac{x}{2} = \frac{y - 5}{5} is true

6 0
3 years ago
What is x-x+3+x?<br> I don't really get this ^^
kipiarov [429]

Answer:

4x is the answer

Step-by-step explanation:

3x + x= 4x + x = 5x - x = 4x

3 0
3 years ago
Read 2 more answers
Classify the following triangle. Check all that apply.
liubo4ka [24]

Answer:

A and C

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
I need your help to find the value of x.round to the nearest hundred just the photo ​
True [87]

Answer:

Step-by-step explanation:

1. Cos 52° = adj/hyp

Cos 52° = x/13

x = 13×cos 52°

x = 8.00

2. Sin70° = opp/hyp

Sin70° = 30/x

x sin70° = 30

x = 30/sin70°

x = 31.93

x ≈ 32

3. Tan∅ = opp/adj

Tan∅ = 45/51

Tan∅ = 0.8824

∅ = tan-¹(0.8824)

∅ = 41.42°

∅ ≈ 41°

3 0
3 years ago
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