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Alex Ar [27]
3 years ago
6

Find the Surface Area and the Volume.

Mathematics
1 answer:
guajiro [1.7K]3 years ago
8 0

Answer:

Surface area = 850 cm²

Volume = 1000 cm³

Step-by-step explanation:

Applying,

A = h(a+b+c+d)................ Equation 1

Where A = Surface area of the trapezoidal prism, a, b, c, d = length of the four sides the trapezium respectively, h = height of the prism.

From the diagram in the question,

Given: h = 25 cm, a = 6 cm, b = 14 cm, c = 7 cm, d = 7 cm

Substitute these values into equation 1

A = 25(6+14+7+7)

A = 25(34)

A = 850 cm²

From the volume,

V = A'h...................... Equation 2

Where A' = Area of the base.

From the diagram,

A' = 1/2(6+14)4

A' = 40 cm²

Therefore,

V = 40×25

V = 1000 cm³

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Question 5 (12 points)
Dima020 [189]

Answer:

see attached for diagram

a) √13

b) √29

c) 4

Step-by-step explanation:

Equation of the circle:  (x + 1)^2 + (y - 3)^2 = 16

⇒ center = (-1, 3)

⇒ radius = √16 = 4

Distance between 2 points formula:

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

a)  let (-1, 3) = (x_1,y_1)

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b)  let (-1, 3) = (x_1,y_1)

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alexgriva [62]

Answer: 9-(0+1+2)


Step-by-step explanation:

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We can use addition and subtraction operation to the given numbers such that the answer will be equals to 6.

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hence, the required expression can be 9-(0+1+2)



6 0
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