Answer: 380 ft^2
Step-by-step explanation:
Length of sides of square=25
Diameter of semicircle=25
Radius=r=25/2=12.5
π=3.14
Area of square=length x length
Area of square=25 x 25=625
Area of semicircle=0.5 x π x r x r
Area of semicircle=0.5 x 3.14 x 12.5 x 12.5
Area of semicircle=245.3125
Area of shaded portion=area of square - area of semicircle
Area of shaded portion=625-245.3125
Area of shaded portion=379.6875
Area of shaded portion=380ft^2
approximately
Answer:
C. 3x + x = 67
Step-by-step explanation:
Means Mathew has 3 units and Daniel has 1 unit.
There's 4 units in total.
4x = 67
3x + x = 67
3x is Mathew's DVDs
x is Daniel's DVDs
Answer:
the savings is 6000
Step-by-step explanation:
We are told that the ratio of savings to expenditure is 2: 8, that is, that person saves 2 when he spends 8.
They tell us to find the savings when the cost is 24,000, so we are left with:
24000 * 2/8 = 6000
which means that when 24000 are spent the savings is 6000
Answer:
Step-by-step explanation:
exponents raised to a - power is an inverse function probably not the right word
a^-b = 1/(a^b) example 4^-2 = 1/(4^2) = 1/16
so (7^-1)^-1 is a double inverse which is back to the original number 7
inverted 7 twice
(7^-1)^-1 = (1/7)^-1 = 1/(1/7) = 7 trust me or use your calculator
since the coeffients are the same just add the powers... some exponent rule
5^2 * 5^4 * 5^-3 = 5^(2+4-3) = 5³
here is it written out
5^2 * 5^4 * 5^-3 = 5² × 5^4 × 5^-3 = (5×5) × (5×5×5×5) × (1/5×1/5×1/5)
5×5 × 5× (5×5×5 × 1/5×1/5×1/5) (5×5×5 × 1/5×1/5×1/5) = 1
5×5×5 = 5³
so
Answer:
Q1
|a-b| = b-a when a<b
Q2
104159/33000
Step-by-step explanation:
Q1
If a<b then a-b will always be negative. To get the absolute value, we can take -(a-b) = -a+b = b-a.
Q2
Let x = 3.12789789789...
We isolate the repeating decimal to start after the decimal, so we multiply by 100.
100x = 312.789789789...
We want to multiply by 10 for each digit that repeats (in this case 3), to get the repeating part to the left of the decimal.
100000x = 312789.789789
Subtracting the two...
x(100000-100) = 312789.789789 - 312.789789
99900x = 312477
x = 312477/99000 = 104159/33000