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julia-pushkina [17]
3 years ago
15

A rectangular painting has an area of (2x^2 + 8x + 6) cm^2 . Its length is (2x + 2) cm. Find the width of the painting.

Mathematics
1 answer:
Gnesinka [82]3 years ago
8 0

Answer:

Width = x + 3

Step-by-step explanation:

The formula for the area of a rectangle is:  A = LW, where A=area, L = length and W = width.  In order to get the expression for the value of the width, you first need to factor each equation given for both the area and the length.  Starting with the length (2x + 2), you can factor out the 2 to get: 2(x+1).  With the area: 2x² + 8x + 6, you can first factor out the 2 to get:  2(x² + 4x + 3).  Next, you can factor the polynomial: 2(x + 3)(x + 1).  Lastly, in order to find the width, you divide the area by the length:

\frac{2(x + 3)(x + 1)}{2(x+1)}

Crossing out the common terms from the numerator and denominator, '2' and '(x + 1)', we get a final answer of W = x + 3.

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Probability = possible chances

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Jennifer got a box of chocolates. the box is a right triangular prism shaped box. it is 7 in long. and the triangular base measu
Lera25 [3.4K]

Answer:

A = 68.8 inches^{2}

Step-by-step explanation:

Given : Jennifer got a box of chocolates. the box is a right triangular prism shaped box. it is 7 in long. and the triangular base measure 2in times 3in times 4in.

a = 2

b=3

c=4

To Find : what is the surface area of the box of chocolates?

Solution: The first thing we should know is the area of the triangular base.

 Triangular base area: 

A1 =\sqrt{(s * (s-a) * (s-b) * (s-c)) }

 Where, s is the semi-meter of the triangle:

s =\frac{ (a + b + c) }{ 2}

 a, b, c: sides of the triangle.

 Substituting:

 s = (2 + 3 + 4) /2=4.5

A1 = \sqrt{ (4.5 * (4.5-2) * (4.5-3) * (4.5-4))}

 A1 = 2.90

 Then, you must know the area of each rectangle associated with each side of the triangular base.

 Rectangle area 1: Ar1 = (a) * (l)

                              Ar1 = (2) * (7)

                              Ar1 = 14

 Rectangular area 2:   Ar2 = (b) * (l)

                                    Ar2 = (3) * (7)

                                    Ar2 = 21

 Rectangular area 3:   Ar3 = (a) * (l)

                                    Ar3 = (4) * (7)

                                    Ar3 = 28

 Finally the surface area is: A = Ar1 + Ar2 + Ar3 + 2 * A1

                                             A = (14) + (21) + (28) + 2 * (2.90)

                                            A = 68.8 inches^{2}

 Hence the surface area of the box of chocolates is 

A = 68.8 inches^{2}

6 0
2 years ago
laws of Sines special cases. Find each measurement. Round your answer to the nearest tenth. Part 1. Please show your work. #1-4​
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Answer:

Apply sine theorem:

1.

c/sinC = a/sinA

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=> B is undefined

2.

c/sinC = b/sinB

=> sinB = sinc x (b/c) = sin40 x 34/33 = 0.662

=> B = arcsin(0.662) = 41.47 deg

3.

c/sinC = b/sinB

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=> B is undefined

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4.

c/sinC = a/sinA

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=> C = arcsin(0.587) = 35.93 deg

Hope this helps!

:)

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Answer:

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Jane is 7 years older than John.If the sum of their ages is 43.How old is Jane and how old is John​
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Answer:

If

Jane= x

John = y

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x= 50÷2

x= 25

substituting x= 25 in (2),

25+y=43

y= 43-25

y= 18

Jane is 25 years old and John is 18 years old.

Step-by-step explanation:

5 0
2 years ago
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