A rain gutter is to be constructed of aluminum sheets 12 inches wide. After marking off a length of 4 inches from each edge, this length is bent up at an angle θ. The area A of the opening may be expressed as the function: A(θ) = 16 sin θ ⋅ (cos θ + 1). If θ = 90°, what is the area of the opening?

Answers

Answer 1

Answer: We are already given with the function to solve for the area:
A(θ) = 16 sin θ ⋅ (cos θ + 1)

We simply have to substitute the value of the angle into the function. So,
If θ = 90°,
A(90°) = 16 sin (90°) ( cos (90°) + 1 )

Using the calculator or the definition of trigonometric functions at angle of 90°, we get the value of the area:
A(90°) = 16 square inches

Answer 2

Answer:

we know that

The area A of the opening may be expressed as the function:

$A(\alpha) = 16 sin \alpha* (cos \alpha + 1)$

For $\alpha =90$ °

We simply have to substitute the value of the angle into the function

$A(90) = 16*sin 90* (cos 90 + 1)$

$A(90) = 16*(1)* (0 + 1)$

$A(90) = 16 in^(2)$

therefore

the answer is

the area of the opening is $16 in^(2)$

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Which is equivalent to (−2m + 5n)2, and what type of special product is it4m2 + 25n2; a perfect square trinomial 4m2 + 25n2; the difference of squares 4m2 − 20mn + 25n2; a perfect square trinomial 4m2 − 20mn + 25n2; the difference of squares

Answers

We'll calculate the product:

$(-2m+5n)^2=(-2m+5n)(-2m+5n)\n\n (-2m+5n)^2=(-2m)\cdot(-2m+5n)+(5n)(-2m+5n)\n\n (-2m+5n)^2=[(-2m)\cdot(-2m)+(-2m)\cdot(5n)]+[(5n)\cdot(-2m)+(5n)\cdot(5n)]\n\n (-2m+5n)^2=4m^2-10mn-10mn+25n^2\n\n (-2m+5n)^2=4m^2-20mn+25n^2$

So, the answer is:

$4m^2-20mn+25n^2,~\text{a perferct square trinomial.}$

The concept of the square is applied that is the multiplication of the term itself two times.

The equivalent function of $\rm (-2m + 5n)^2$ is $\rm 4m^2 - 20mn + 25n^2$ .

What is an equivalent function?

The equivalent is the functions that are in different forms but are equal to the samevalue.

Given

(-2m + 5n)² is a function.

To find

The equivalent function of (-2m + 5n)².

We know that this can be written as

(-2m + 5n) x (-2m + 5n)

On multiply, we have

$\rm (-2m + 5n)(-2m + 5n)\n\n-2m(-2m + 5n) + 5n(-2m + 5n)\n\n(-2m)^2 - 10mn -10mn + (5n)^2\n\n4m^2 - 20mn + 25n^2$

Thus, the equivalent function of (-2m + 5n)² is 4m² - 20mn + 25n².

More about the equivalent function link is given below.

brainly.com/question/10498970

0.88 as a fraction in simplest form

Answers

Answer:

22/25

Step-by-step explanation:

0.88×100/1×100=88/100

88÷4/100÷4=22/25

Answer: 22/25

Step-by-step explanation:

i took the test

If you make an annual salary of $18,920, what is the maximum monthly rent you can afford?$529.76

$441.47

$882.94

$536.22

Answers

If you make an annual salary of $18,920, Find the maximum monthly rent you can afford:
=> 18 920 dollars / 12 months = 1576.67 dollars is your monthly payment.
Base on the given choices, you can afford all prices but practicality wise, 441.47 dollars is the most recommended rentals.

Answer with explanation:

We will use , $(28)/(36)$ rule here, which states that , 28 % of your monthly income should be used for housing finances and 36 % of your total gross income should be used for debt purposes.

Total Annual Salary = $ 18,920

Monthly salary $=(18920)/(12)$

→→28% of 18,920

$=(28)/(100)* (18920)/(12)\n\n=(529760)/(100* 12)=441.4666\n\n=441.47$

Option B: $ 441.47

What is 12 miles below sea level

Answers

Answer:

I'm assuming you mean the negative number of it so -12

Step-by-step explanation:

Answer:

-12 miles

Step-by-step explanation:

below is a key word, so you know you are going down

What is the inverse of the function f(x) = x +3?A. h(x) =1/3 x + 3
B. h(x) = 1/3x – 3
C. h(x) = x – 3
D. h(x) = x + 3

Answers

Answer:

Option C is correct that is h(x)=x-3

Step-by-step explanation:

We have been given a function:

$f(x)=x=3$

$\text{let y}=f(x)$

$y=x+3$

$x=y-3$

Hence, $f^(-1)y=y-3$

Therefore, $f^(-1)x=x-3$

Hence, Option C is correct that is h(x)=x-3

f(x) = x + 3
y = x + 3
x = y - 3

Inverse is h(x) = x - 3

16x=10(x+1)=26(+1)-16

Answers

The solution to the first pair of equal expressions is:

16x = 10(x + 1)

16x = 10x + 10

6x = 10

x = 10/6 = 1 and 2/3

The solution to the second pair of equal expressions is:

10(x + 1) = 26(+1) - 16

The left side is 10(x + 1) = 10x + 10

The right side is 26(+1) - 16 = 26-16 = 10

The equation now says 10x + 10 = 10

Subtract 10 from each side: 10x = 0

The solution to this pair of equal expressions is x = 0 .

I think I understand the weird question now. It's trying to say that
the first expression is equal to both the second and third expressions.
Let's try the first and the third:

16x = 26(+1) - 16

16x = 26 - 16

16x = 10

x = 10/16 = 5/8 = 0.625

Nope, that wasn't it.

The upshot of all my research is: I have no idea what the question is trying to say,
therefore no clue of what the actual question is, and no direction toward an answer.

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