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alisha [4.7K]
3 years ago
12

A rain gutter is to be constructed of aluminum sheets 12 inches wide. After marking off a length of 4 inches from each edge, thi

s 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?
Mathematics
2 answers:
weqwewe [10]3 years ago
4 0
We are already given with the function to solve for the area:
<span>A(θ) = 16 sin θ ⋅ (cos θ + 1)
</span>
We simply have to substitute the value of the angle into the function. So,
If <span>θ = 90°,
A(</span>90°) = 16 sin (90°) ( cos (<span>90°) + 1 )

Using the calculator or the definition of trigonometric functions at angle of </span><span>90°, we get the value of the area:
</span>A(<span>90°) = 16 square inches</span>
hoa [83]3 years ago
4 0

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

so

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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Alberto conducted an experiment by rolling a fair six-sided number cube 60 times. He rolled a 2 fifteen times. Which statement a
lys-0071 [83]

Answer:

The experimental probability of rolling a 2 is \frac{1}{4}.

Step-by-step explanation:

Since you didn't give any statements, I'll make one myself.

P of rolling a 2 (experimental): \frac{15}{60} =\frac{1}{4}

The experimental probability of rolling a 2 is \frac{1}{4}.

8 0
3 years ago
Marcy is making a hooked circle-shaped rug for her mother. The circumference of the circle-shaped rug is 69.08 inches.
dem82 [27]
The area would be 22 if I'm not mistaken. You would divide 69.08 by 3.14 and you would get 22.
5 0
3 years ago
3. How many solutions does the equation have?
Pepsi [2]
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3 0
2 years ago
What is an equation of the line that passes through the point (-1, 4) and is parallel
vesna_86 [32]

Answer:

The answer is

<h2>y + 2x = 2</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is 2x + y = 1

We must first write the equation in the general form above

That's

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Comparing with the general equation above

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Since the lines are parallel their slope are also the same

Slope of parallel line = - 2

So the equation of the line using point

( - 1 , 4) and slope - 2 is

<h3>y - 4 =  - 2(x + 1) \\ y - 4 =  - 2x - 2 \\ y + 2x =  - 2 + 4</h3>

We have the final answer as

<h3>y + 2x = 2</h3>

Hope this helps you

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Least to greatest 1/2, 2/5, 6/10
Elza [17]
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