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8_murik_8 [283]
3 years ago
5

Find the surface area of the prism 12in 4 in 3in 5in 5in 6in​

Mathematics
1 answer:
Mamont248 [21]3 years ago
5 0

Answer:

Area of trapezoid:

12 + 6<-- your two bases of the trapezoid = 18

18 x 4 = 72, 72 divided by 2 = 36

now we multiply by 2 since there are 2 trapezoids:

36 x 2 = 72

Area of rectangle in front:

6 x 3 = 18

Area of the 2 rectangles on the sides:

5 x 3 = 15

(multiply by 2 since there are two rectangles on both sides)

15 x 2 = 30

Area of rectangle on the back:

12 x 3 = 36

Now lets add up all the areas:

72 + 18 + 30 + 36 = 156 in2 is your answer.

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Incomplete Question the complete Qs is

Which of the following is a correct equation for the line passing through the point (-2,1) and having slope m = 1/2?  

a: y=1/2x+2

b: y=-2x+1/2

c: x-2y=-4

d: y-1=1/2(x+2)

Answer:

The Correct option is c. x-2y=-4

Therefore the correct equation for the line passing through the point (-2,1) and having slope m= 1/2 is

x-2y=-4

Step-by-step explanation:

Given:

Slope = m =\dfrac{1}{2}

point A(x₁, y₁)=(-2,1)  

To Find:  

Equation of Line  =?  

Solution:  

Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,  

i.e equation in point - slope form

(y-y_{1})=m(x-x_{1})

Now on substituting the slope and point A( x₁ , y₁) ≡ ( -2 , 1) we get

(y-1)=\dfrac{1}{2}(x-(-2))\\\\2y-2=x+2\\x-2y=-2-2=-4\\x-2y=-4 As required

Therefore the correct equation for the line passing through the point (-2,1) and having slope m= 1/2 is

x-2y=-4

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