Because for a fraction with a small denominator, you don't have to split them up into small pieces and as many pieces. For example: let's say you had 2/3. you draw a circle with 3 equal quadrants. Those quadrants are big because you didn't have to split the circle up into a lot of peices; only 3.
Now for a bigger denominator like 20/32, you have to split the circle into 32 peices. For all of them to fit, you have to make the pieces small.
So,
The rate of the train is 25mi/20mins. We need (x)mi/hr. We can do that by multiplying by 3.
25(3) = 75
The train's speed in mph is 75 mph.
The angle of depression from the bird to the observer is 41.81°
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<h3>Angle of depression</h3>
The angle of depression can be calculated using trigonometric ratios. The situation forms a right angle triangle. A right angle triangle has opposite , adjacent and hypotenuse side.
Using trigonometric ratio,
- sin B = opposite / hypotenuse
Therefore,
sin B = 6000 / 9000
sin B = 0.66666666666
B = sin⁻¹ 0.666666
B = 41.8103143833
B ≈ 41. 81°
learn more on angle of depression here: brainly.com/question/24600261?referrer=searchResults
Answer:
Step-by-step explanation:
The given sequence : 2.5,7.5,22.5,67.5,202.5
here first term (a)= 2.5
Second term = 7.5
Third term = 22.5 and so on
The difference between the two consecutive terms is increasing but have common ratio as:
Common ratio (r) =
So this sequence follows geometric progression.
nth term in GP =
Required function notation:
i.e. the function notation of given sequence :
Answer: option B is the correct answer
Step-by-step explanation:
Candace's backyard has a flower garden that covers 40% of her backyard.
If the total area of her backyard is 450 square feet, it means that her garden covers 40% of 450 square feet.
To determine how many square feet is her flower garden, we will find the value of 40% of 450 square feet. It becomes
40/100 × 450= 0.4×460 = 180 square feet