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2 years ago

This is urgent, please answer! What is the area of this composite figure?

Mathematics

2 answers:

Reika [66]2 years ago

4 0

Answer: 978 in^2

Explanation:
30 x 24 = 720
12 x 9 = 108
(15 x 20)/2 = 150
150 + 108 + 720 = 978

Advocard [28]2 years ago

4 0

Answer: 978 in. squared

Step-by-step explanation:

area of the rectangle : 24 x 30 = 720

area of the two triangles combined : (9 x 12) ÷ 2 = 54 x 2 = 108

area of the triangle on top of the other triangle : (20 x 15) ÷ 2 = 150

720 + 108 +150 = 978

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Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans

zloy xaker [14]

Part A:

Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4

The perimeter of the square is given by 4(x + 4) = 4x + 16

The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12

For the perimeters to be the same

4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2

The value of x that makes the perimeters of the quadrilaterals the same is 2.

Part B:

The area of the square is given by

$Area=(x+4)^2=x^2+8x+16$

The area of the rectangle is given by 2(3x + 4) = 6x + 8

For the areas to be the same

$x^2+8x+16=6x+8 \\ \\ \Rightarrow x^2+8x-6x+16-8=0 \\ \\ \Rightarrow x^2+2x+8=0 \\ \\ \Rightarrow x= \frac{-2\pm\sqrt{2^2-4(8)}}{2} \\ \\ = \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{-28}}{2} \\ \\ = \frac{-2\pm2i\sqrt{7}}{2} =-1\pm i\sqrt{7}$

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.

7 0

3 years ago

EM Company produces two types of laptop computer bags. The regular version requires $32 in capital and 4 hours of labor and sell

expeople1 [14]

Answer:

Step-by-step explanation:

Given that EM company produces two types of laptop computer bags.

Let regular version produced be R and deluxe version be D

Total capital required

= $32R+38D\leq 2100$

Total labor hours required

= $4R+6D\leq 280$

Sales revenue = $46R+55D$

Solving the two constraints we have

10D $\leq$ 140

D can be atmost 14 and hence R can be 49

Otherwise if D is made 0, R = 65 maximum

If R is made 0, D maximum is 46

Thus corner points are (65,0) (0.,46) or (49,14)

Sales revenue for (65,0) = 2990

(0,46) is 2530

(49,14) is 3024

Maximum when R =14 and D is 49

5 0

3 years ago

Solve both by elimination can someone help? 2x-5y=-9 , 4x+5y=12 3x-2y=12 , 7x-5y=17

lyudmila [28]

Answer:

x=1/2, y=2;

Step-by-step explanation:

First pair:

2x-5y =-9

4x+5y=12

Add them together:

6x=3

x = 1/2

2(1/2) - 5y =-9

1-5y = -9

1+9=5y

y=10/5=2

8 0

2 years ago

ITEM BANK. Move to Bottom

DiKsa [7]

Answer:

Rotate 90 degrees clockwise around the origin and then translate down. Reflect across the x-axis and then reflect across the y-axis.

Step-by-step explanation:

Reflection across the y-axis. 90o counter clockwise rotation. 2. Multiple-choice. 1 minute. Q. Identify the transformation from ABC to A'B'C'. Draw the final image created by reflecting triangle RST in the x-axis and then rotating the image 90° counterclockwise about the origin. BER goo Clockwise 90c ...C-level G2-1 Reflections and Rotations ... X-axis. 00. G2-2 Rotations. 4. Rotate the figure 90° clockwise around the origin. ... Rotation 90° counter.

7 0

2 years ago

Mina tossed two number cubes labeled 1 to 6.What is the probability that the sum is equal to 5

julsineya [31]

You can get a 5 this many ways.
2 + 3
3 + 2
1 + 4
4 + 1

That number is 4
the total number of ways you can throw two cubes is 6 * 6 ways.
Of those ways 4 are successful
4/36 = 1/9 <<<< Answer.
B <<<< answer

4 0

2 years ago