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2 years ago

To find the distance across a lake, a

Mathematics

2 answers:

Liula [17]2 years ago

7 0

Answer:

608 yard

Step-by-step explanation:

tan 50 degrees =a/510

a=tan 50 degrees x510

=608 yards

Nesterboy [21]2 years ago

6 0

The distance across the lake, a is 611 yards

<h3>Right angle triangle:</h3>

Right angle triangle have one of its angles as 90 degrees. Therefore, the side a can be found using trigonometric ratios,

Therefore,

tan 47° = opposite / adjacent

tan 47° = a / 570

cross multiply

a = 570 tan 47°

a = 570 × 1.07236871002

a = 611.250164714

a = 611 yards

learn more on right triangle here: brainly.com/question/18450490

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3 years ago

What is the value of A when we rewrite 2^x-6 + 2x as A * 2^x?

Leto [7]

Algebraic expressions are expressions that use numbers and variables

The value of A is 65/64

<h3>How to determine the value of A</h3>

The expression is given as:

$2^{x - 6} + 2^x$

Rewrite the expression as:

$2^{x - 6} + 2^x = \frac{2^x}{2^6} + 2^x$

Factor out 2^x

$2^{x - 6} + 2^x = 2^x(\frac{1}{2^6} + 1)$

Rewrite as product

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The expression to compare with is given as: A * 2^x.

So, we have:

$A * 2^x =2^x * (\frac{1}{2^6} + 1)$

Divide both sides by 2^x

$A =\frac{1}{2^6} + 1$

Take LCM

$A =\frac{1 + 2^6}{2^6}$

$A =\frac{65}{64}$

Hence, the value of A is 65/64

Read more about expressions at:

brainly.com/question/4344214

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2 years ago

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ira [324]

Answer:

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castortr0y [4]

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3 years ago

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