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lukranit [14]
2 years ago
7

Consider the trapezoid shown below. 6 in. 4 in. 6 in. 6 in. (not drawn to scale)

Mathematics
1 answer:
AnnyKZ [126]2 years ago
7 0

Answer:

36

Step-by-step explanation:

1/2bh

1/2 (6*4) =12

Considering there are three triangles we will multiply by 3

12*3=36

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Which transformation of Figure A results in Figure A' ?
MariettaO [177]

Option B: a counterclockwise rotation of 90° about the origin

Explanation:

From the graph, we can see the coordinates of the figure A are (0,2), (-1,6) and (-4,4)

The coordinates of the figure A' are (-2,0), (-6,-1) and (-4,-4)

<u>Option B: a counterclockwise rotation of 90° about the origin </u>

The transformation rule for a coordinate to reflect a counterclockwise rotation of 90° about the origin  is given by

(x,y)\implies (-y,x)

Let us substitute the coordinates of the figure A

Thus, we have,

(0,2)\implies(-2,0)

(-1,6)\implies (-6,-1)

(-4,4)\implies(-4,-4)

Thus, the resulting coordinates are equivalent to the coordinates of the figure A'.

Therefore, the figure is a counterclockwise rotation of 90° about the origin .

Hence, Option B is the correct answer.

3 0
3 years ago
Read 2 more answers
What is 3 1/4 divided by 2/3 with all of the steps?
erik [133]

Answer:

4 7/8

Step-by-step explanation:

3 1/4 / 2/3

convert mixed numbers to improper fractions: 3 1/4 / 2/3

13/4 / 2/3

apply the fraction rule: a/b / c/d = a/b * d/c

= 13/4 * 3/2

multiply fractions: a/b * c/d = (a * c)/(b * d)

= (13 * 3)/(4 * 2)

multiply the numbers: 13 * 3 = 39

= 39/(4 * 2)

multiply the numbers: 4 * 2 = 8

= 39/8

convert improper fractions to mixed numbers: 39/8 = 4 7/8

= 4 7/8

5 0
3 years ago
Find the slope of the line
olga55 [171]

Answer:

slope or m = -1

Step-by-step explanation:

The slope formula is:

y2-y1         -3 - 1             -4          -4

-------- =   -------------- = --------- =  ----- = -1

x2-x1       1  - (-3)            1+3         4

So, the slope is -1 XD YAY!!

6 0
3 years ago
Read 2 more answers
What is the range of y=5(11)x
dem82 [27]

Answer:

Domain: ( − ∞ , ∞ ) ,  { x | x ∈ R}

Range: ( − ∞ , ∞ ) ,  { y | y ∈ R}

Step-by-step explanation:

We can simplify to understand how to answer the question better.

<em>5 * 11x = 55x</em>

<u>Function range definition:</u><u> </u>

The set of values of the dependent variable for which a function is defined.

  • The range of polynomials with odd degree is all real numbers.

<u>So the solution is.. </u>

-∞<x< ∞

<u>And the interval notation is..</u>

(- ∞. ∞)

7 0
3 years ago
What is the substitution of<br><img src="https://tex.z-dn.net/?f=%28x%20%20-%20%201%29%5E%7B2%7D%20" id="TexFormula1" title="(x
Ber [7]

Answer:

x should be 1

I think if you substitute it will just be the index 2 that remains , not sure though .You should probably ask your teacher for assistance

5 0
3 years ago
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