Domain is all real numbers
Range is [-3,∞)
Answer:
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Step-by-step explanation:
Observe the figure attached.
You need to use the following Trigonometric function in order to find the length of the diagonal "d":
For this case:
Therefore, you need to substitute these values into the Trigonometric function and solve for "d":
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Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
A nickel is worth 5 cents. Converting to dollars, it becomes
5/100 = $0.05
A dime is worth 10 cents. Converting to dollars, it becomes
10/100 = $0.1
Let x represent the number if nickels.
Let y represent the number of dimes.
He has no more than 19 coins. This means that
x + y ≤ 19
He has no less than $1.30 combined. This means that
0.05x + 0.1y ≥ 1.3
If Nolan has 5 nickels, then, substituting x = 5 into x + y ≤ 19, it becomes
5 + y ≤ 19
y ≤ 19 - 5
y ≤ 14
substituting x = 5 into 0.05x + 0.1y ≥ 1.3, it becomes
0.05 × 5 + 0.1y ≥ 1.3
0.25 + 0.1y ≥ 1.3
0.1y ≥ 1.3 - 0.25
0.1y ≥ 1.05
y ≥ 1.05/0.1
y ≥ 10.5
Therefore, all possible values for the number of dimes that he could have would be
10.5 ≤ y ≤ 14
20 kg bag of bananas for 10 dollars
This is the given situation in which in every 20 kilogram of bananas, the costs is 10 dollars.
Now, let us calculate how much each kg of banana costs will. Let’s solve for the unit rate of this given data:
=> 20 kg bag of banana
=> 10 dollars = cost
Now, let’s divide this to get the answer that we need.
=> 20 / 10
=> 2 bananas per dollars = 2 banana/dollars
Or 10 / 20
=> 0.5 dollars/1kg of banana