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gshreya2005

gshreya2005

09.07.2019 •

Mathematics

Aflag in the shape of a right triangle is hung over the side of a building as shown below. the total weight of the flag is 250 pounds and it has uniform density. a = 15 and b = 39.

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Ответ:

proxydayz

12.03.2022

(a) The density of flag is $\dfrac{25}{27}$ Pounds per square foot

(b) The weight of strip is $\dfrac{20}{9}(15-h)\Delta h$ Pounds

(c) The work is $\dfrac{20}{9}(15-h)h\Delta h$ foot-pounds

(d) The exact work by roof is 1250 foot-pounds

Step-by-step explanation:

(a) We are given a flag in the shape of a right triangle.

The total weight of flag is 250 pounds and Uniform density.

Base of the flag $=\sqrt{b^2-a^2}$

$=\sqrt{39^2-15^2}=36$

Area of the flag $=\dfrac{1}{2}\times 36\times 15 = 270$

Weight of flag = 250 pounds

$Density =\dfrac{Weight}{Area}=\dfrac{250}{270}=\dfrac{25}{27}$

Hence, The density of flag is $\dfrac{25}{27}$

(b) Weight of strip which is h feet below the roof.

Length of strip $=\dfrac{36}{15}(15-h)$

Width of strip $\Delta h$

Weight = Density x area

$=\dfrac{25}{27}\times \dfrac{36}{15}(15-h)$

$=\dfrac{20}{9}(15-h)\Delta h$

Hence, The weight of strip is $\dfrac{20}{9}(15-h)\Delta h$

(c) Work slice to move h feet above to the roof

work $=Weight\times displacement$

$=\dfrac{20}{9}(15-h)\Delta h\times h$

$=\dfrac{20}{9}(15-h)h\Delta h$

Hence, The work is $\dfrac{20}{9}(15-h)h\Delta h$ foot-pounds

(d) Exact work on the roof by hanging flag

$W=\int_0^{15}\dfrac{20}{9}(15-h)hd h$

$W=\dfrac{20}{9}(\dfrac{15h^2}{2}-\dfrac{h^3}{3})|_0^{15}$

W=1250-0

W=1250

Hence, The exact work by roof is 1250 foot-pounds

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Ответ:

aricketts3901

15.02.2023

Step-by-step explanation:

This set of Operating System Multiple Choice Questions & Answers (MCQs) focuses on “Basics”.

1. What is operating system?

a) collection of programs that manages hardware resources

b) system service provider to the application programs

c) link to interface the hardware and application programs

d) all of the mentioned

View Answer

d

Explanation: None.

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