Answer:
b. 5tan(25°)
Step-by-step explanation:
The tangent function gives the ratio between the side opposite and the side adjacent to the angle. That is ...
tan(25°) = ?/5
Multiplying by 5 solves the equation:
? = 5·tan(25°)
The distance traveled by the second hand of the clock is 0.471 m.
<h3 />
To calculate the distance the tip of the second hand of the clock travel in 45 seconds, we use the formula below.
<h3>Formula:</h3>
- L = 2πr∅/360.................. Equation 1
<h3> Where: </h3>
- L = distance traveled by the tip of the second hand.
- r = Length of the second hand
- ∅ = angle formed by the second hand of the clock
- π = pie
From the question,
<h3>Given:</h3>
- r = 10 cm = 0.1 m
- ∅ = (360×45/60) = 270°
- π = 3.14
Substitute these values into equation 1
- L = 0.1×2×270×3.14/360
- L = 0.471 cm.
Hence, The distance traveled by the second hand of the clock is 0.471 m
Learn more about distance traveled here: brainly.com/question/4931057
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Answer:
The system of inequalities that represents this situation is:
x+y≥10
6x+4y≤50
Step-by-step explanation:
As the statement says that Laura wants to provide one party favor per person to at least 10 guests, the first inequality would indicate that the number of stuffed animals plus the number of toy trucks should be equal or greater than 10:
x+y≥10
Also, the statement indicates that miniature stuffed animals cost $6.00 each and the toy trucks cost $4.00 each and that Laura has $50. From this, you would have an inequality that indicates that 6 for the number of miniature stuffed animals and 4 for the number of toy trucks would be equal or less than 50:
6x+4y≤50
The answer is that the system of inequalities that represents this situation is:
x+y≥10
6x+4y≤50
Difference=subtract sum=add. just answering so you don't waste points :-)
Answer:
The percentage increase in Tessa's stock is 40%
Step-by-step explanation:
Given that:
Previous worth = $173
Worth now = $242.20
We have to find percentage increase which can be known by subtracting previous worth from present worth and multiplying it by 100:
Percentage increase = $242.20 - $173 = $69.2
Percentage increase = $69.2/173 *100
Percentage increase = 40%
i hope it will help you!
