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Contact [7]
3 years ago
5

A rain gutter is to be constructed from a metal sheet of width 48 cm by bending up one-third of the sheet on each side through a

n angle θ.
Show that the cross-sectional area of the gutter is modeled by the function
A(θ) = 256 sin(θ) + 256 sin(θ) cos(θ).

For what angle θ is the largest cross-sectional area achieved?

Mathematics
1 answer:
Tomtit [17]3 years ago
8 0
This is for 30cm not 48 but you can find out how to do it. This is an example

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Lina20 [59]

Answer:349

Step-by-step explanation:

7 0
2 years ago
A.Find the total and area of the compound figures
goldfiish [28.3K]

Answer:

(a) The total area of compound figure is 284.52ft^2.

(b) The total perimeter of compound figure is 68.84 ft.

Step-by-step explanation:

Perimeter: The total distance covered by the figure.

Area: It is defined as the space occupied by the figure.

Given:

Length of rectangular figure = 19 ft

Breadth of rectangular figure = 12 ft

Radius of circle, r = \frac{12ft}{2} = 6 ft

Part (a):

Now calculating the total area of the compound figure.

\text{Total area}=\text{Area of rectangular figure}+\frac{1}{2}\times \text{Area of circle}\\\\\text{Total area}=\text{Length}\times \text{Breadth}+\frac{1}{2}\times \pi r^2

Now putting all the given values in this formula, we get:

\text{Total area}=(19ft\times 12ft)+\frac{1}{2}\times 3.14\times (6ft)^2\\\\\text{Total area}=284.52ft^2

Part (b):

Now calculating the total perimeter of the compound figure.

\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times \text{Circumference})\\\\\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)

Now putting all the given values in this formula, we get:

\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)\\\\\text{Total perimeter}=2\times 19ft+12ft+(\frac{1}{2}\times 2\times 3.14 \times 6ft)\\\\\text{Total perimeter}=68.84ft

8 0
3 years ago
What is the measure of ∠AOB?<br> 90°<br> 80°<br> 180°<br> 40°
zalisa [80]
I think it may be a 180 degree angle but I wouldnt trust myself so idk
4 0
3 years ago
Read 2 more answers
Consider the probability distribution of x, where x is the number of job applications completed by a college senior through the
Oksi-84 [34.3K]
The expected number out of 1000 selected college seniors that completed 1 job application through the career centers is given by 0.011 x 1000 = 11 which is close to 14.

The expected number out of 1000 selected college seniors that completed 2 job application through the career centers is given by 0.115 x 1000 = 115 which is far away from 15.

The expected number out of 1000 selected college seniors that completed 3 job application through the career centers is given by 0.123 x 1000 = 123 which is close to 130.

Therefore, the result that would be suprising is "15 seniors completed 2 job applications through the career center."
3 0
3 years ago
I WILL GIVE BRIANLEST TO THE PERSON WHO ANSWER IT WRITE.
kykrilka [37]
The answer to the first part is D
4 0
3 years ago
Read 2 more answers
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