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Naddika [18.5K]
4 years ago
13

Javier creates a rectangular painting.The painting is 3feet long and more than 2 feet wide.The expressions 3(2+x) represents the

area of the painting.Write an expression equivalent to 3(2+x)
Mathematics
1 answer:
Lelechka [254]4 years ago
4 0
2(3+x) because it is asking for an equivalent expression. So just do the Communitive Property of Multiplication. Since you can change around the around for multiplication, it would be 2(3+x) since it will equal the same thing.
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Find the size of angle BAC Give your answer to 3 significant figures
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Answer:

angle BAC = 50.5°

Step-by-step explanation:

To find the size of angle BAC, we will follow the steps below;

First, we will use Pythagoras theorem to find side AC

from the diagram, AB = 14 cm       BC = 17 cm

Using Pythagoras theorem,

AC² = AB² + BC²

        = 14² + 17²

         =196 +289

           =485

AC² = 485

Take the square root of both-side

AC = √485

AC = 22 .023

AC = 22.023 cm

angle <B = 90°

Using the sine rule,

\frac{sin A}{a}   =  \frac{sin B}{b}

A = ?

a=BC = 17 cm

B = 90°

b = AC = 22.023 cm

we can now [proceed to insert the values into the formula and then solve for A

\frac{sin A}{a}   =  \frac{sin B}{b}

\frac{sin A}{17}  = \frac{sin 90}{22.023}

cross - multiply

22.023× sinA = 17× sin90

Divide both-side of the equation by 22.023

sin A = 17 sin90 / 22.023

sin A = 0.771920

Take the sin⁻¹ of both-side of the equation

sin⁻¹sin A = sin⁻¹0.771920

A = sin⁻¹0.771920

A≈ 50.5°

Therefore, angle BAC = 50.5°

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Step-by-step explanation:

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