3 years ago

If 60 equals twice a number added to itself, find the number.

1 answer:

7 0

Okay. 60 equals twice the number added to itself. That would be 30, because 60 is twice of 30 and 30 added to itself is 60. The number is 30.

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Explain why (1/2)4 =1/16

Sergio [31]

${ \left( \frac { 1 }{ 2 } \right) }^{ 4 }\\ \\ =\frac { 1 }{ 2 } \cdot \frac { 1 }{ 2 } \cdot \frac { 1 }{ 2 } \cdot \frac { 1 }{ 2 }$

$\\ \\ =\frac { 1 }{ 2\cdot 2\cdot 2\cdot 2 } \\ \\ =\frac { 1 }{ 16 }$

6 0

3 years ago

Read 2 more answers

A 96 foot tree casts a shadow that is 120 feet long. What is the angle of elevation of the sun? Round to the nearest degree.

zysi [14]

Answer:

$\alpha \approx 39^{\circ}$

Step-by-step explanation:

Let assume that tree grows perpendicular to surface. The statement is geometrically represented in the attachment included below, which resembles a right-angled triangle. Lastly, the angle of elevation of the sun is determined with the help of the following trigonometric relationship:

$\tan \alpha = \frac{96\,ft}{120\,ft}$