on the blue print for a house a rectangular balcony is 1 inch wide and 1.75 inches long . if the actual length of the balcony is
2 answers:
Answer:
The perimeter of the balcony is 22 feet.
Step-by-step explanation:
On blue print , length of balcony is 1.75 inches
The actual length of balcony = 7 feet.
So, 1.75 inches = 7 feet
1 inch =
1 inch = 4 feet
Thus the scale is 1 inch = 4 feet.
On the blue print , the width of the balcony is 1 inch .
So, using scale the actual width = 4 feet
Now the formula of perimeter of rectangle =
l =length
w = width
So, the perimeter of the balcony =
=
=
Hence the perimeter of the balcony is 22 feet.
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Answer:
256
Step-by-step explanation:
A calculator works well for this.
_____
None of the minus signs are subject to the exponents (because they are not in parentheses, as (-1)^5, for example. Since there are an even number of them in the product, their product is +1 and they can be ignored.
1 to any power is still 1, so the factors (1^n) can be ignored.
After you ignore all of the things that can be ignored, your problem simplifies to ...
(2^2)(2^-3)^-2
The rules of exponents applicable to this are ...
(a^b)^c = a^(b·c)
(a^b)(a^c) = a^(b+c)
Then your product simplifies to ...
(2^2)(2^((-3)(-2)) = (2^2)(2^6)
= 2^(2+6)
= 2^8 = 256
