Answer:
x = 15.4
Step-by-step explanation:
Reference angle = 33°
Opposite side reference angle = 10
Adjacent side = x
Therefore, we would apply the trigonometric function, TOA.
Thus:
Tan 33° = Opposite/Adjacent
Tan 33° = 10/x
Multiply both sides by x
x*Tan 33° = 10
Divide both sides by Tan 33°
x = 10/Tan 33°
x = 15.3986496
x = 15.4 (nearest tenth)
Answer:
Nickles: 96 times
Penny: 48 times
Step-by-step explanation:
5+3+8+4 = 20 coins in total
20x = 240
x=12 (chance of a coin being picked)
8 nickles(12) = 96
4 pennies(12) = 48
5 meters/ 1 second because if you 40 and 8 you will get 5 and divided 8 by 8 and you get 1, you just divide the denominator by both numerator and denominator.
By definition we have that the average rate of change is given by:
AVR = (f (x2) - f (x1)) / (x2 - x1)
Substituting the values we have:
AVR = (204 - (-6)) / (10 - 0)
Rewriting we have:
AVR = (204 + 6) / (10 - 0)
AVR = 210/10
AVR = 21
Answer:
the average rate of change for f (x) from x = 0 to x = 10 is:
AVR = 21
Answer:
In order to have ran 33 miles, Bobby would have to attend <em>32 track practices.</em>
Step-by-step explanation:
Solving this problem entails of uncovering the amount of track practices Bobby must attend in order to have ran 33 miles. Start by reading the problem carefully to break down the information provided.
You can see that Bobby has already ran one mile on his own. This is important to remember for later. The problem also states that he expects to run one mile at every track practice.
Setting up an equation will help us solve. Here is how we could set up the equation:
(<em>amount of miles already ran</em> = 1) + (<em>number of track practices</em> = x) = (<em>total miles to run</em> = 33)
1 + x = 33
The equation is now in place. You can solve this, or isolate <em>'x',</em> by using the subtraction property of equality. This means we will subtract one from both sides of the equation, thus isolating the variable.
1 + x = 33
1 - 1 + x = 33 - 1
x = 32
The variable is the only term left on the left side of the equation. This means Bobby must attend track practice <em>32 times</em> in order to have ran 33 miles.
