Step-by-step explanation:
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Answer:
(A) 
(b) 
(c) 
(d) 
Step-by-step explanation:
We have given expression and we have to simplify the expression using exponent property
(A) 
So 
(b) 
So 
(c) 
So 
(d) 
Let h = height of triangle
h^2 + 12^2 = 15^2
h^2 + 144 = 225
h^2 = 225 - 144
h^2 = 81
sqrt{h^2} = sqrt{81}
h = 9 cm
For part B, we need to find surface area because it represents the perimeter of this 3-D figure. The formula needed is SA = B + LA.
1. First find the lateral area.
LA = perimeter of triangle • height
LA = ph
p = 15 + 15 + 24
p = 30 + 24
p = 54 cm
LA = (54)(9)
LA = 486 cm^2
2. We now find the base of each triangle. This is found by finding the area of each triangle and multiplying by 2.
A = (1/2)bh
A = (1/2)(24)(9)
A = 108 cm^2
A = 2•108 cm^2
A = 216 cm^2 = our B in the surface area formula.
SA = B + LA
SA = 216 cm^2 + 486 cm^2
SA = 702 cm^2
The amount of cardboard needed is 702 cm^2.
<h2>
The value of x = - 
</h2>
Step-by-step explanation:
The given expressiona are:
and 
To find, the value of x = ?
∴ 
By crossmultiplication, we get
4(3x + 2) = 2(3x - 6)
⇒ 12x + 8 = 6x - 12
⇒ 12x - 6x = - 12 - 8
⇒ 6x = - 20
⇒ 3x = - 10
⇒ x = - 
∴ The value of x = - 
Thus, the value of x is equal to -
.