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pogonyaev
3 years ago
6

Acellus

Mathematics
1 answer:
Step2247 [10]3 years ago
4 0

Answer:

57 cm²

Step-by-step explanation:

Surface area of the yellow prism = front + back + right + left + top

✔️Area of the front = L * W

L = 4 cm

W = 3 cm

Area of the front = 4*3 = 12 cm²

✔️Area of the back = L * W

L = 4 cm

W = 3 cm

Area of the back = 4*3 = 12 cm²

✔️Area of the right face = L * W

L = 4 cm

W = 3 cm

Area of the right face = 4*3 = 12 cm²

✔️Area of the left face = L * W

L = 4 cm

W = 3 cm

Area of the left face = 4*3 = 12 cm²

✔️Area of the top = L * W

L = 3 cm

W = 3 cm

Area of the top = 3*3 = 9 cm²

✅Total = 12 + 12 + 12 + 12 + 9 = 57 cm²

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Write an equation of the line passes through the given points (6,-3),(1,2)
adoni [48]

Answer:

y = -x+3

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

    = ( 2 - -3)/( 1 - 6)

   ( 2+3)/( 1-6)

   5/ -5

   -1

The slope is -1

We can use slope intercept form

y = mx+b  where m is the slope and b is the y intercept

y = -x+b

Substitute a point into the equation

2 = -1 +b

Add 1 to each side

2+1 = -1+1+b

3 = b

y = -x+3

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3 years ago
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What is the slope of a line that is perpendicular to the line whose equation is 2y = 3x - 1?
alexandr1967 [171]

Answer:

The slope of the line is -\frac{2}{3}

Step-by-step explanation:

For any line y=mx+b, a line that is perpendicular to it is y_\perp =-\frac{1}{m} x+b.

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For our case y=\frac{3}{2}x-\frac{1}{2} therefore the slope of the prependicular is the reciprocal of \frac{3}{2} multiplied by -1.

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4 0
3 years ago
Q8: These Triangles are similar. What is the value of X?
Umnica [9.8K]

Answer:

The answer to your question is x = 15

Step-by-step explanation:

Use proportions to solve this problem

                              \frac{x}{20} = \frac{12}{16}

Solve for "x"

                                          x = \frac{12(20)}{16}

Simplification

                                          x = \frac{240}{16}

Result

                                         x = 15                                                  

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3 years ago
Whats the difference between 24 and -14.
liubo4ka [24]
The difference between 24 and -14 is 38
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3 years ago
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