it cost $3.45 to buy 3/4 lb of chopped walnuts how much would it cost to purchase 7.2 lb of walnuts

Mathematics

1 answer:

andreev551 [17]3 years ago

5 0

Answer:

Step-by-step explanation:

$33.12

you would divide 3.45 by 3 to get 1/4, which is 1.15, then multiply that by 4 to get the cost for one pound, which is 4.6. multiply 4.6 times 7.2 to get your answer of 33.12

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In a given right triangle, If 0 º < x < 90 º and cos x = √ 3 / 2, then sin x = ?

nordsb [41]

Answer:

1/2

Step-by-step explanation:

The "Pythagorean relation" between trig functions can be used to find the sine.

<h3>Pythagorean relation</h3>

The relation between sine and cosine is the identity ...

sin(x)² +cos(x)² = 1

This can be solved for sin(x) in terms of cos(x):

sin(x) = √(1 -cos(x)²)

<h3>Application</h3>

For the present case, using the given cosine value, we find ...

sin(x) = √(1 -(√3/2)²) = √(1 -3/4) = √(1/4)

sin(x) = 1/2

<em>Additional comment</em>

The sine and cosine of an angle are the y and x coordinates (respectively) of the corresponding point on the unit circle. The right triangle with these legs will satisfy the Pythagorean theorem with ...

sin(x)² + cos(x)² = 1 . . . . . . where 1 is the hypotenuse (radius of unit circle)

A calculator can always be used to verify the result.