3 years ago

Evaluate the following expression with a calculator.

Mathematics

2 answers:

nordsb [41]3 years ago

5 0

Answer:

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max2010maxim [7]3 years ago

4 0

Answer:

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Step-by-step explanation:

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Translate the sentence into an equation. Four times the difference of a number and 5 is 24.

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3 years ago

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2 years ago

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

Serhud [2]

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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2 years ago

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