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user100 [1]
3 years ago
14

Many practical applications require calculations of area. Some of these calculations are straightforward, but others are more di

fficult, and it turns out that the idea of the definite integral can help us with the more difficult cases. Let’s start with some familiar shapes. What is the area of a rectangle of length l and width w?
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
4 0

Answer:

L*W

Step-by-step explanation:

As we Know tha area of a rectangle is Leght*witdth so in this case will be L*W but lets prove it by calculating the integral:

Area= L*W= \int\limits^w_0 F{x} \, dx =\int\limits^w_0 L*w({x}) \, dx

So as the integral of a constant is the constant multiplied by the integration variable x.

The integral becomes: L*W(x) where W(x) in this case is W= L*W

Good luck!

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The volume of a rectangular prism is given by the expression 10x^3+46x^2-21x-27. The area of the base of the prism is given by t
andrezito [222]
H = V/B

h =  \frac{10x^3+46x^2-21x-27}{2x^2+8x-9} = 5x + 3 \\  \\ c)5x+3



The base of the prism is given by the expression 2X^2+8x-9
then c)5x+3
5 0
3 years ago
Read 2 more answers
5 roommates share the cost of an apartment: rent,electricity, and gas. rent costs 1800 and gas costs 150 per month. each roommat
Naddik [55]

Answer:

Electricity bill is 175

<em />

Step-by-step explanation:

Given

Rent = 1800

Gas = 150

Each\ Roommate = 425 monthly

Number\ of\ Roommate = 5

Required

Determine the electricity bill

If each roommate pays 425, then 5 roommates pay 5 * 425

Total = 5 * 425

Total = 2125

This implies that: the monthly cost of room, gas and electricity add up to 2125.

In other words,

Gas + Rent + Electricity = 2125

150 + 1800+ Electricity = 2125

1950+ Electricity = 2125

Electricity = 2125 - 1950

Electricity = 175

<em>Hence, the electricity bill is 175</em>

4 0
3 years ago
BD Bisects ABC. Find the value of x in the image shown below
IRISSAK [1]

Answer:

Since BD Bisects ABC,

Hence,

Angle CBD=Angle DBA

-> 55°=x°+12°

-> x° =55°-12°

-> x° =43°

6 0
3 years ago
A piece of paper is 11 inches long and 8.5 inches wide. What is the area of the paper in square centimeters? (Please show work!)
goldenfox [79]
If you would like to know what is the area of the paper in square centimeters, you can calculate this using the following steps:

1 inch equals to 2.54 centimeters.

11 inches = 11 * 2.54 = <span>27.94 centimeters long
8.5 inches = 8.5 * 2.54 = </span><span>21.59 centimeters wide

11 inches long * 8.5 inches wide = 27.94 centimeters long * 21.59 centimeters wide = </span>27.94 * 21.59 = 603.22 square centimeters
<span>
The correct result would be </span>603.22 square centimeters.<span>
</span>
3 0
3 years ago
What is the arc measure of \stackrel{\LARGE{\frown}}{AC}
algol [13]

Answer:

72°

Step-by-step explanation:

Given that the radius(r) of the circle is 10 units and the length of arc ABC is 16π

The length of arc ABC = \frac{\theta}{360}*2\pi r

Where θ is the central angle in degrees.

Since the length of arc ABC is 16π,

16\pi=\frac{\theta}{360}*2\pi r\\16\pi=\frac{\theta}{360}*2\pi *10\\\theta=\frac{16\pi *360}{2 \pi *10} \\\theta=288^0

The angle in a circle = 360°, therefore:

Central angle for arc AB (θ) = 360 - Central angle for arc ABC = 360 - 288 = 72°

Therefore the arc measure of arc AB is 72°

5 0
3 years ago
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