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Sergio039 [100]
2 years ago
12

What is the area of the parallelogram shown

Mathematics
1 answer:
Nezavi [6.7K]2 years ago
5 0

9514 1404 393

Answer:

  60 square units

Step-by-step explanation:

The area is given by the formula ...

  A = bh

The base of this parallelogram is 15 units, and its height is 4 units. The area is ...

  A = (15 u)(4 u) = 60 u²

The area is 60 square units.

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Find the gradient of the line segment between the points (0,6) and (2,16).
valentina_108 [34]

Answer:

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:

A line is increasing, and goes upwards from left to right when m > 0

A line is decreasing, and goes downwards from left to right when m < 0

A line has a constant slope, and is horizontal when m = 0

A vertical line has an undefined slope, since it would result in a fraction with 0 as the denominator. Refer to the equation provided below.

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m =

y2 - y1

x2 - x1

8 0
3 years ago
A new car is purchased for 20000 dollars. The value of the car depreciates at 12. 5% per year. What will the value of the car be
Georgia [21]

To solve the problem we need to know about depreciation.

<h2>Formula of Depreciation</h2>

The formula of depreciation is given as,

A = P(1-r)^t

where,

A is the value of an object after t years of time,

P is the value of the object at the beginning, and

r is the rate of depreciation.

The value of the car after 11 years is $4,603.81.

<h2>Explanation</h2>

Given to us

  • Cost of Car at the beginning, p = $20,000
  • Rate of depreciation, r = 12.5%
  • Time, t = 11 years

<h3>Value of the car after 11 years</h3>

Substituting the values in the formula of depreciation,

A = P(1-r)^t

Value of the car after 11 years = P(1-r)^n

                                                 = \$20,000(1-0.125)^{11}\\\\&#10;= \$20,000\times 0.23\\\\&#10;= \$4,603.822 \approx \$4,603.81

Hence, the value of the car after 11 years is $4,603.81.

Learn more about Depreciation:

brainly.com/question/3023490

8 0
2 years ago
Convert 6.1212 into a rarional number
Ahat [919]

in short, we will start off by making the left-side of the dot and the recurring numbers a variable, say "x", then multiplying it by some power of 10 that moves the recurring numbers over to the left, let's do so

\bf x = 6.\overline{12}~\hspace{10em} \begin{array}{llll} 100\cdot x&=&612.\overline{12}\\\\ &&606+6.\overline{12}\\\\ &&606+x \end{array} \\\\\\ 100x=606+x\implies 99x=606\implies x = \cfrac{606}{99}\implies x = \cfrac{202}{33}\implies x = 6\frac{4}{33}

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Write a inequality for the graph below
max2010maxim [7]

Answer:

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Step-by-step explanation:

since the arrow is pointing towards the right side i.e tending towards x

7 0
2 years ago
Re-order the premises in each of the arguments to show that the conclusion follows as a valid consequence from the premises. It
klemol [59]

Answer:

Step-by-step explanation:

1. If I do not grumble while doing the logic exam, then it is because I understand the questions.

2. If the arguments are not arranged in regular order, then I will not be used to these examples.

3. If my headaches, then it is probably because it is not an easy example.

4.  If the arguments are not arranged in regular order like I am used to, then I will not be able to understand them.

5. If the example is not easy and I am grumbling, then it is because it is giving me a headache.

3 0
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