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lesya692 [45]
3 years ago
14

(-4a^3bc^2)(a^3b^2c)(3ab^4c^5)​

Mathematics
1 answer:
3241004551 [841]3 years ago
4 0

Answer:( -22•3a7b7c8)

Step-by-step explanation:

STEP1

Equation at the end of step 1

 ((0-(((4•(a3))•b)•(c2)))•(((a3)•(b2))•c))•(3ab4•c5)

STEP 2

Equation at the end of step2

 ((0 -  ((22a3 • b) • c2)) • a3b2c) • 3ab4c5

STEP 3

Multiplying exponential expressions :

3.1    a6 multiplied by a1 = a(6 + 1) = a7

Multiplying exponential expressions :

3.2    b3 multiplied by b4 = b(3 + 4) = b7

Multiplying exponential expressions :

3.3    c3 multiplied by c5 = c(3 + 5) = c8

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What is the surface area of the prism?
Sever21 [200]

Answer:

Question 3: 582 ft²

Question 4: 348 in²

Step-by-step Explanation:

Question 3:

Consider the solid shape given as being consisting of two rectangular prism. With careful examination, you'd observe that the offer one beneath has dimensions, l, w, h, as 15, 4, 9

The second one has l, w, h, as 6, 4, 6

Surface area of the bigger rectangular prism = total surface area - area of the surface that is joined to the smaller rectangular prism.

Area of the face joined to the smaller rectangular prism = 4*6 = 24 ft²

Surface area of the bigger rectangular prism = 2(wl + hl + hw)  - 24

2(4*15 + 9*15 + 9*4)  - 24

462  - 24

Surface area of the bigger rectangular prism = 438 ft²

Surface area of the smaller rectangular prism = total surface area of rectangular prism - area of the surface that is joined to the bigger rectangular prism.

= 2(wl + hl + hw)  - 24

= 2(4*6 + 6*6 + 6*4)  - 24

= 168 - 24 = 144 ft^2

<em><u>Surface area of the solid = 438 + 144 = 582 ft²</u></em>

Question 4:

Surface area of the triangular prism is given as: 2(B.A) + P*L

Where,

B.A = area of 1 triangular base = ½*height of the triangle*base of the traingle

B.A = ½*6*16 = 3*16 = 48 in²

P = perimeter of 1 triangular base = sum of all sides of the triangle.

P = 16+10+10 = 36 in

L = length or height of prism =

Plug in the values to find surface area of the prism

Surface area = 2(B.A) + P*L

= 2(48) + 36*7 = 96 + 252 = 348 in²

<em><u>Surface area of prism = 348 in²</u></em>

4 0
3 years ago
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