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nikitadnepr [17]
3 years ago
12

What is the answer to this?

Mathematics
1 answer:
tia_tia [17]3 years ago
4 0

Answer:

Step-by-step explanation:

Each of the four sides of this triangular prism has height 8 m and base 12 m.  The area of each face this thus A = (1/2)(base)(height), or

A = (1/2)(12 m)(8 m) = 48 m^2.   The total side area is thus 192 m^2.

This is the surface area.  If we want to include the base area, that would be another (12 m)^2 , or 144 m^2.

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(A) - (5)

(B) - (4)

(C) - (1)

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Step-by-step explanation:

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(5) The related polynomial equation has a total of four roots; two roots are complex and two roots are real.

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3 years ago
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23 yellow, 30 pink and 12 blue balls

Step-by-step explanation:

Let the number of yellow, pink, blue, and black balls be y, p, b, and x respectively.

<em>From 1st sentence:</em>

y +p +b +x= 90

<em>"</em><em>60</em><em> </em><em>of</em><em> </em><em>them</em><em> </em><em>are</em><em> </em><em>not</em><em> </em><em>pink</em><em>"</em><em> </em>

➜ y +b +x= 60

Given that 25 are black, x= 25.

<em>"</em><em>67</em><em> </em><em>of</em><em> </em><em>them</em><em> </em><em>are</em><em> </em><em>not</em><em> </em><em>yellow"</em>

➜ p +b +x= 67

Subst. x= 25 into the above equations:

y +p +b +25= 90

y+ p +b= 65 -----(1)

y +b +25= 60

y +b= 35 -----(2)

p +b +25= 67

p +b= 42 -----(3)

I will rewrite the 3 equations for better clarity:

y +p +b= 65 -----(1)

y +b= 35 -----(2)

p +b= 42 -----(3)

(1) -(2):

p= 65 -35

p= 30

(1) -(3):

y= 65 -42

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Substitute p= 30 and y= 23 into (1):

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Thus, there 23, 30 and 12 yellow, pink and blue balls respectively.

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