2 years ago

Solve the equation. 12a -15=8a+1

Mathematics

1 answer:

Lapatulllka [165]2 years ago

7 0

Answer:

a = 4

Step-by-step explanation:

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Which is true of a population in a statistical survey?

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The population of a statistical survey is chose at random, so it's not believed to be biased.

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3 years ago

Point W has coordinates (4, -7). If it is translated left 4 units, what are the coordinates of its image?

denpristay [2]

Answer:

(0, - 7)

Step-by-step explanation:

A translation of 4 units left means subtracting 4 from the original x- coordinate, but the y-coordinate remains unchanged

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2 years ago

Find the area of a rhombus with side length 6 and an interior angle with measure $120^\circ$.

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Answer:

The area of a rhombus is $18\sqrt{3}$ square units.

Step-by-step explanation:

Side length of rhombus = 6 units.

Interior angle of rhombus = 120°

another Interior angle of rhombus = 180°-120° = 60°.

Draw an altitude.

In a right angled triangle

$\sin \theta=\frac{opposite}{hypotenuse}$

$\sin (60)=\frac{h}{6}$

$\frac{\sqrt{3}}{2}=\frac{h}{6}$

Multiply both sides by 6.

$3\sqrt{3}=h$

The height of the rhombus is $3\sqrt{3}$ .

Area of a rhombus is

$Area=base\times height$

$Area=6\times 3\sqrt{3}$

$Area=18\sqrt{3}$

Therefore, the area of a rhombus is $18\sqrt{3}$ square units.

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