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Y_Kistochka [10]
2 years ago
11

How would you solve the area

Mathematics
1 answer:
zvonat [6]2 years ago
8 0
Check the picture below.

so the composite is just 2 triangles, one rectangle and one parallelogram.

we know the height and base of the triangles and length and width of the rectangle.

now, the parallelogram, we can simply split in in two triangles and a rectangle, like you see the split in the middle, and that gives us two more triangles and one rectangle.

so, we can simply get the area of each of those figures and sum them up, and that's the area of the composite.

\bf \stackrel{\textit{left triangle}}{\cfrac{1}{2}(11)(8)}~~+~~\stackrel{\textit{left rectangle}}{11\cdot 9}~~+~~\stackrel{\textit{upper middle triangle}}{\cfrac{1}{2}(11)(2)}
\\\\\\
+~~\stackrel{\textit{middle rectangle}}{7\cdot 11}~~+~~\stackrel{\textit{lower middle triangle}}{\cfrac{1}{2}(11)(2)}~~+~~\stackrel{\textit{right triangle}}{\cfrac{1}{2}(8)(9)}\\\\
-------------------------------\\\\
44+99+11+77+11+36\implies 278

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Hatshy [7]

9514 1404 393

Answer:

  (a) x = 22

  (b) 46°

  (c) 44°

  (d) 180°

Step-by-step explanation:

Because the sum of the interior angles of a triangle is 180°, we know that the sum of the acute angles in a right triangle is 90°.

<h3>(a) </h3>

The sum of the marked acute angles is 90°.

  2x +(3x -20) = 90

  5x = 110 . . . . . . . . . . add 20, collect terms

  x = 22 . . . . . . . . . divide by 5

__

<h3>(b) </h3>

∠CBA = (3x -20)° = (3·22 -20)° = 46°

__

<h3>(c)</h3>

∠CAB = 2x° = 2(22)° = 44°

__

<h3>(d)</h3>

The sum of a triangle's interior angles is 180°.

5 0
2 years ago
Read 2 more answers
A parking garage allows users to park the first hour free and then charges $2.50 for each additional hour or fraction of an hour
Snowcat [4.5K]

The first hour is free, and the rest charges is $2.50


Let x be the time.

Let y be the total


Your equation will look like


When x < 2, y = 0

When x > 1, y = $2.50(x)


So:


1 < x < ∞ for hours, then equation will look like:

y = total amount

$2.50 is cost (remember that the first hour is for free, and so you subtract $2.50 from the total.


$2.50x - $2.50 = y should be your equation.


hope this helps

6 0
2 years ago
Read 2 more answers
Question listed below.​
matrenka [14]

Answer:

I think its 14 students

Step-by-step explanation:

40%x35=14

7 0
3 years ago
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In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the pattern in the sequence if i
levacccp [35]
The sequence is given as follow
3a,3 a^{2}b,3 a^{3} b^{2} , 3 a^{4} b^{3}

When finding the pattern of a sequence, we can try to work out whether there is a common difference or a common ratio between each term. We try by finding a common ratio

\frac{3 a^{2}b }{3a} =ab
\frac{3 a^{3 b^{2} } }{3 a^{2}b }=ab
\frac{3 a^{4} b^{3} }{3 a^{3} b^{2} }=ab

The term to term rule is multiplied by ab

The 5^{th} term is given 3 a ^{4} b^{3}×ab=3 a^{5} b^{4}

The 6^{th} term is given by 3 a^{5} b^{4}×ab=3 a^{6}  b^{5}


8 0
2 years ago
When 3 times a number is subtracted from 10, the result is the sum of the number and 22
Arada [10]

Answer:

x = -6

Step-by-step explanation:

Let the number be x

<u>Condition:</u>

=> 10-3x = x+22

<u><em>Let's Solve it:</em></u>

=> -3x-x = 22-10

=> -2x = 12

<em>Dividing both sides by -2</em>

=> x = -6

6 0
3 years ago
Read 2 more answers
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