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ELEN [110]
2 years ago
12

Cos (A − B)

Mathematics
1 answer:
iVinArrow [24]2 years ago
4 0
Answer is choice C) cosine is even; sine is odd

The properties that come with even and odd functions are...
f(-x) = f(x) indicates we have an even function. So cos(-x) = cos(x)
f(-x) = -f(x) indicates we have an odd function. So sin(-x) = -sin(x)

note: the end result of the proof will lead to cos(A)cos(B)+sin(A)sin(B)
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How do you subtract 42 minutes from 1 hour ,25 minutes.explain what to do and why you do it?
aksik [14]
So 1 hour= 60 minutes
60+25= 85 minutes
Now we should subtract the 42
85-42=43
3 0
2 years ago
HELP!!! I need help with this question
Inga [223]

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8 0
2 years ago
A commuter airline makes lattes in the galley and sells them to passengers. A regular latte contains a shot of espresso, 1 cup o
Alik [6]

Answer:

To maximize profit, the amount of each type of coffees made are;

The number of regular latte made = 52 cups

The number of low-fat latte made = 48 cups

Step-by-step explanation:

The given parameters are;

The number of espresso in a regular latte = 1 shot

The number of cups of 2% milk in regular latte = 1 cup

The amount of whipped cream in a regular latte = 0.5 cup

The number of cups of skim milk in the low-fat latte = 1.25 cup

The number of espresso in a low-fat latte = 1 shot

The amount of whipped cream in a low-fat latte = 0 cup

The number of cups of espresso in the journey = 100 shots

The number of cups of skim milk in the journey = 60 cups

The number of cups of 2% milk in the journey = 60 cups

The amount of profit the airline makes on each regular latte = $1.58

The amount of profit the airline makes on each low-fat latte = $1.65

Let 'x' represent the number regular lattes made and let 'y' represent the number low-fat lattes made, we have;

x ≤ 30/0.5 = 60

x ≤ 60

y ≤ 60

y ≤ 60/1.25 = 48

∴ y ≤ 48

x + y ≤ 100

Therefore, the given that more profit is made from the sale of low-fat latte than for regular latte, the maximum number of low-fat latte should be made

Therefore, the number of low-fat latte made, y = 48

Therefore, the number of regular latte made, x ≤ 100 - 48 = 52

For maximum profit, the maximum number of low-fat latte, 'x', should be made

Therefore, x = 52

The ideal mix of regular and low-fat lattes to maximize profit is 52 cups of regular latte and 48 cups of low-fat latte

5 0
2 years ago
Jill invested $20,000 in an account that earned 5.5% annual interest, compounded annually. What is the value of this account aft
noname [10]

The value of this account in 10 years is given by the formula:

FV = P*(1+r)^t

where FV is the future value in the account after 10 years(to be calculated)

P is the principal invested at the beginning

r is the interest rate and

t is the time horizon in years

Given, Invested Amount (P) = 20,000

Interest rate (r) = 5.5% = 0.055

Time horizon (t) = 10 years = 10

Substituting the formula, FV = 20,000*(1+0.055)^10 = 20,000*1.055^10 = 20,000*1.708144458 =  34,162.89

The value of this account after 10 years =$34,162.89 (Rounded to the nearest cent)

7 0
3 years ago
A building has 4 offices. There are 4 people in each of the offices. Each person has 4 chairs.
laila [671]
The answer to this would be 4^3 or 4×4×4.
This equals 64. So there are 64 chairs in thé building.
7 0
2 years ago
Read 2 more answers
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