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Mazyrski [523]
3 years ago
9

Find the area of the rectangle below by multiplying its length and width.

Mathematics
1 answer:
wariber [46]3 years ago
8 0

Hello!

When multiply binomials together, we should use the FOIL method.

The FOIL method is an acronym for First, Outer, Inner, and Last.

First, let's set up the expression.

(7x - 1)(3x - 2)

Now, we can multiply in accordance with the FOIL method.

First: 7x · 3x = 21x²

Outer: 7x · -2 = -14x

Inner: -1 · 3x = -3x

Last: -1 · -2 = 2

Now, we simplify the inner terms.

21x² - 14x - 3x + 2

21x² - 17x + 2

Therefore, the area of the rectangle is 21x² - 17x + 2.

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The expression (1/50)(sqrt(1/50)+sqrt(2/50)+sqrt(3/50)+...+sqrt(50/50) is a Riemann Sum approximation for
alexira [117]
\dfrac1{50}\left(\sqrt{\dfrac1{50}}+\sqrt{\dfrac2{50}}+\cdots+\sqrt{\dfrac{50}{50}}\right)=\displaystyle\sum_{n=1}^{50}\sqrt{\dfrac n{50}}\frac1{50}

describes a sum of the areas of 50 rectangles, each of width \dfrac1{50}, and the nth rectangle has height \sqrt{\dfrac n{50}}.

\sqrt{\dfrac n{50}} ranges from a small positive number to 1, which means the integration interval must be [0,1]. The sum is then the right-endpoint Riemann sum of \sqrt x over the interval with 50 equally spaced subintervals, so

\displaystyle\sum_{n=1}^{50}\sqrt{\dfrac n{50}}\frac1{50}\approx\int_0^1\sqrt x\,\mathrm dx

The sum itself evaluates to roughly 0.676, while the exact value of the integral is \dfrac23\approx0.667.
3 0
3 years ago
.......... ......................
MrRa [10]

Answer:

what do you need help on?

6 0
3 years ago
What is the hight of a Building 1 Angle 71o Distance 20 meters
vlabodo [156]

The height of a building is 58.08 meters if the angle is 71 degree and the distance between A and B is 20 meters.

<h3>What is trigonometry?</h3>

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Angle = 71 degree

Distance between A and B = 20 meters

Let's suppose the height of the building is x meters.

From the right angle triangle applying the tan ratio:

tan71 = x/20

x = 58.08 meter

Thus, the height of a building is 58.08 meters if the angle is 71 degree and the distance between A and B is 20 meters.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ1

6 0
2 years ago
A small apple weighs 4.5 ounces. If it is divided into 4 equal pieces, how much does each piece weigh?
Margaret [11]
4÷4.5=0.89
good luck if you need to work shown just let me know
8 0
3 years ago
I need help for number 7 please
iVinArrow [24]

Answer:

6/8

Step-by-step explanation:

there are 8 marbles take away how many green to solve the question...I know this is a horrible explanation sorry

8 0
4 years ago
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