In this case, the dimensions of 12 inches in width and 4 inches in length are not crucial for solving the problem. An equation has been provided already, and it clearly states that A, as a function of θ, represents the area of the opening. We are specifically instructed to find this area, and the value of θ has been given. Therefore, the initial details seem to serve merely as a distraction.
Hence, we can directly substitute θ=45° into the given function.
A = 16 sin 45° ⋅ (cos 45° + 1)
Since 45° is a notable angle in trigonometry, remembering its functions is straightforward. The sine of 45° is √2/2, and the cosine of 45° is also √2/2.
A = 16(√2/2) ⋅ (√2/2 + 1)
A = 8 + 8√2
A = 19.31 square inches
The recipe uses
cups of white flower together with 6 cups of wheat flower.
Therefore, the combined quantity of flower equals
If
represents that combined amount, the equation to write is:
Constraints are as follows:
y can only be
6
Note that if y = 0 then x would have to be -6, which is not possible.
Response: 7
Detailed explanation:
A Venn diagram can help visualize this problem.
There are a total of 5 students interested in both French and Latin.
Out of these, 3 students also want to learn Spanish, meaning only 2 students want solely French and Latin.
Moreover, there are 5 students who wish to study only Latin.
This results in 1 student wanting both Latin and Spanish, calculated by 11 - 5 - 3 - 2.
There are 8 students who desire only Spanish, and 4 students who want both Spanish and French.
In the same manner, those wishing to study only French amount to 16 - 4 - 3 - 2 = 7.
Answer:
91
Step-by-step explanation:
40/.44
Answer:
The exponential equation can be expressed as A = 600(1.04)^15
After 15 years, the value of the mutual fund will be $1,081
Step-by-step explanation:
The worth of the mutual fund after a specific number of years can be represented by the compound interest formula shown below;
A = P(1 + r/n)^nt
In this formula, A stands for the mutual fund's value after 15 years, P represents the principal amount invested, which is $600, r denotes the interest rate at 4% or 0.04 (thus, 4% = 4/100 = 0.04), n indicates the number of times compounding occurs per year (in this case, it is done once a year), and t represents the number of years, which is 15.
Now, substituting in these values gives us;
A = 600(1 + 0.04/1)^15
A = 600(1.04)^15
A = $1,081 approximately
