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ikadub [295]
3 years ago
11

What is the area of the rectangle?

Mathematics
1 answer:
Molodets [167]3 years ago
4 0

Answer:

D

Step-by-step explanation:

Please look at the attached picture for full solution.

Method 1 is using the shoelace method to find the area of the rectangle. Shoelace method can be used to find the areas of any polygons given their coordinates. The coordinates have to be taken in an anticlockwise order and ending with the first coordinate.

Method 2 is making use of the distance formula of two points. The formula is as shown below:

\sqrt{(x1 - x2) ^{2}  + (y1 - y2)^{2} }

Having found the distance of the length and breadth of the rectangle, you can now find its area since area of rectangle= length × breadth.

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what is the next numeral in base 5 after 124 base 5. Also, what is the next numeral sequence after base 5 1344?
AVprozaik [17]

Just as in base 10, when you get to the highest single digit and add 1, you carry into the next higher place value. If your number were 129 in base 10, the next number in sequence is 130. If your number were 1399, the next number in sequence would be 1400.

124_5+1=130_5\\\\1344_5+1=1400_5

8 0
4 years ago
Mr. Gardener invested $500,000. His annual interest was $40,000. What was the annual interest rate?
Archy [21]

Mr. Gardener's annual interest rate is 8%.

40,000/500,000 = 0.08

8 0
3 years ago
The first term in a sequence is -2 and the common ratio is 3. What is the sixth term of the sequence?
AlekseyPX
It's the Geometric Sequence.

The n<span>-th term of a geometric sequence with initial value </span>a<span> and common ratio </span>r<span> is given by:
</span>
a_n=a_1\cdot r^{n-1}\ for\ n\in\mathbb{N^+}

We have:

a_1=-2;\ r=3;\ n=6

Substitute:

a_6=-2\cdot3^{6-1}=-2\cdot3^5=-2\cdot243=-486

Answer: The sixth term is equal -486.
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3 years ago
Molly read a few books each week during the summer. How many books did she read over four weeks<br>​
anastassius [24]
Is there a specific amount of books she read ?
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3 years ago
Use the point-slope formula to write an equation of the line that passes through (6,23) and has a slope of m= 3. Write the answe
RSB [31]

y=3x+5

plug your coordinate points into the equation for slope (left corner or the paper)

multiply by the denominator on both sides of the equation

x-6 cancels out and leaves y-23=3(x-6)

multiply x and -6 by 3

add 23 to both sides to isolate y

hope this helps!

4 0
3 years ago
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