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34kurt
2 years ago
11

A car on a Ferris wheel with a radius of 20 feet. To the nearest foot, how far does the car travel over an angle of pi/3 radians

? (Include the unit of measure in your response.)
Mathematics
1 answer:
vesna_86 [32]2 years ago
8 0

Answer:21

Step-by-step explanation:

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Use the trigonometric subtraction formula for sine to verify this identity: sin((π / 2) – x) = cos x
KIM [24]

Answer:

Step-by-step explanation:

sin (\frac{\pi}{2} - x) = cos x \\\\ sin (a - b) = sin a.cos b - sin b.cos a \\\\ sin (\frac{\pi}{2} - x) = sin \frac{\pi}{2}.cos x - sin x.cos \frac{\pi}{2} \\\\ sin \frac{\pi}{2} = 1; cos \frac{\pi}{2} = 0 \\\\ sin (\frac{\pi}{2} - x) = 1.cos x - sin x.0 \\\\ sin (\frac{\pi}{2} - x) = cos x

I hope I helped you.

4 0
3 years ago
Which statement correctly compares functions f and g? function f function g An exponential function passes through (minus 1, 5),
slamgirl [31]

A statement correctly compares functions f and g is that: C. they have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.

<h3>What is a function?</h3>

A function can be defined as a mathematical expression that defines and represents the relationship between two or more variable, which is typically modelled as input (x-values) and output (y-values).

<h3>The types of function.</h3>

In Mathematics, there are different types of functions and these include the following;

  • Periodic function
  • Inverse function
  • Modulus function
  • Signum function
  • Piece-wise defined function.

Function g is represented by the following table and a line representing these data is plotted in the graph that is shown in the image attached below.

x          -1   0   1    2   3   4

g(x)     24  6   0  -2  

Based on the line, we can logically deduce the following points:

  • y-intercept approaches -2.43 to 24.86.
  • x-intercept approaches negative infinity (-∞) to infinity (∞).

This ultimately implies that, a statement correctly compares functions f and g is that both functions have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.

Read more on function here: brainly.com/question/9315909

#SPJ1

6 0
1 year ago
What happens when you add and subtract integers
Furkat [3]
When u add it stays the same but for subtraction u change the sign.

Example: 2- (-5)=7
5 0
2 years ago
Read 2 more answers
The volume of a prism is 918 yd3. What is the volume of this prism, measured in feet cubed?
allochka39001 [22]
Volume of a prism= 24,786 ft³
5 0
3 years ago
For her college fund jenny's parents invested $5000 four years ago. the account has now reached $6312. what is the approximate a
Tasya [4]

Answer:

Rate = 6.56%

Step-by-step explanation:

Principal (P) = $5000

Interest (I) = $6312

Time (T) = 4 years

Rate (r) = ?

This question is involves simple interest and with the formula, we can easily plug in the values to find the rate.

S.I = P(1 + rt)

S.I = simple interest

P = principal

R = Rate

T = Time

6312 = 5000(1 + r*4)

6312 = 5000 + 5000*4r

6312 - 5000 = 20000r

1312 = 20000r

r = 1312 / 20000

r = 0.0656

Rate are calculated in percentage hence we'll multiply it by 100

R = 6.56%

4 0
3 years ago
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