Calculate the area of the parallelogram, giving your answer correct to 3 significant figures.

Mathematics

1 answer:

Oliga [24]2 years ago

5 0

Answer:

114 units²

Step-by-step explanation:

The opposite sides of a parallelogram are congruent, so

AB = CD , that is

13x - 7 = 5x + 9 ( subtract 5x from both sides )

8x - 7 = 9 ( add 7 to both sides )

8x = 16 ( divide both sides by 8 )

x = 2

Then

5x + 9 = 5(2) + 9 = 10 + 9 = 19

3x = 3(2) = 6

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height ), thus

A = 19 × 6 = 114 units²

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Simplify the following expression. 4a^-2b<br><br> A.) b/4a^2<br> B.)4b/a^2<br> C.)1/4a^b2

Sergio [31]

ANSWER

The correct answer is B

$\frac{4b}{ {a}^{2} }$

EXPLANATION

The given exponential expression is

$4 {a}^{ - 2} b$

We can rewrite this as,

$4b \times {a}^{ - 2}$

We need to simplify to obtain a positive index, so we apply the following property,

${a}^{ - m} = \frac{1}{ {a}^{m} }$

This implies that,

$4b \times {a}^{ - 2} = 4b \times \frac{1}{ {a}^{2} }$

This will finally simplify to,

$4b \times {a}^{ - 2} =\frac{4b}{ {a}^{2} }$

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2 years ago

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