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HACTEHA [7]
3 years ago
11

The function c ( x ) = 63 ⋅ ( 1.03 ) x models the cost in dollars, c , of 1 ounce of a certain chemical used in a laboratory. x

represents the number of years since 1990.
How much does an ounce of the chemical cost in 2005? (Do NOT type the $ with your answer.)
Mathematics
1 answer:
Fudgin [204]3 years ago
4 0

9514 1404 393

Answer:

  $98.15

Step-by-step explanation:

2005 is 15 years after 1990. Using the formula we find ...

  c(15) = 63·1.03^15 ≈ 63·1.55797

  c(15) ≈ 98.152

An ounce of the chemical costs about $98.15 in 2005.

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Find cos x if sin x cot x = 0.5
vova2212 [387]

Answer:

cos x = 0.5

Step-by-step explanation:

cot x  = (cos x) / (sin x)

sin x (cot x) = 0.5

cos x = 0.5

7 0
2 years ago
What is 720° converted to radians? <br> a) 1/4<br> b) pi/4<br> c) 4/pi<br> d) 4pi
baherus [9]

4π radians

<h3>Further explanation</h3>

We provide an angle of 720° that will be instantly converted to radians.

Recognize these:

  • \boxed{ \ 1 \ revolution = 360 \ degrees = 2 \pi \ radians \ }
  • \boxed{ \ 0.5 \ revolutions = 180 \ degrees = \pi \ radians \ }

From the conversion previous we can produce the formula as follows:

  • \boxed{\boxed{ \ Radians = degrees \times \bigg( \frac{\pi }{180^0} \bigg) \ }}
  • \boxed{\boxed{ \ Degrees = radians \times \bigg( \frac{180^0}{\pi } \bigg) \ }}

We can state the following:

  • Degrees to radians, multiply by \frac{\pi }{180^0}
  • Radians to degrees, multiply by \frac{180^0}{\pi }

Given α = 720°. Let us convert this degree to radians.

\boxed{ \ \alpha = 720^0 \times \frac{\pi }{180^0} \ }

720° and 180° crossed out. They can be divided by 180°.

\boxed{ \ \alpha = 4 \times \pi \ }

Hence, \boxed{\boxed{ \ 720^0 = 4 \pi \ radians \ }}

- - - - - - -

<u>Another example:</u>

Convert \boxed{ \ \frac{4}{3} \pi \ radians \ } to degrees.

\alpha = \frac{4}{3} \pi \ radians \rightarrow \alpha = \frac{4}{3} \pi \times \frac{180^0}{\pi }

180° and 3 crossed out. Likewise with π.

Thus, \boxed{\boxed{ \ \frac{4}{3} \pi \ radians = 240^0 \ }}

<h3>Learn more  </h3>
  1. A triangle is rotated 90° about the origin brainly.com/question/2992432  
  2. The coordinates of the image of the point B after the triangle ABC is rotated 270° about the origin brainly.com/question/7437053  
  3. What is 270° converted to radians? brainly.com/question/3161884

Keywords: 720° converted to radians, degrees, quadrant, 4π, conversion, multiply by, pi, 180°, revolutions, the formula

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