Answer:
Answer is A
Step-by-step explanation:
(14x^4y^6)/(7x^8y^2)
because everything is one term, you can split into three terms
14/7, x^4 / x^8 , and y^6/y^2
multiplying these three terms will get us the starting term
14/7 = 2
x^4 / x^8
with division of exponents, you subtract the smaller exponent (4), from the big exponent (8), and leave it on the same side (bottom) as the big exponent
1/x^4
same thing with our y's
y^6/y^2
this time, the term stays on the top
y^4
take the simplified terms and multiply them together
(2) * (1/x^4) * (y^4) =
A: (2y^4) / (x^4)
60/150 = 40%
Hope this helps :D
Rectangle. it’s a 2d 4 sided shape with 2 sets of parallel sides
Answer:
A
Step-by-step explanation:
yw
The answer is 5.13 in²
Step 1. Calculate the diameter of the circle (d).
Step 2. Calculate the radius of the circle (r).
Step 3. Calculate the area of the circle (A1).
Step 4. Calculate the area of the square (A2).
Step 5. Calculate the difference between two areas (A1 - A2) and divide it by 4 (because there are total 4 segments) to get <span>the area of one segment formed by a square with sides of 6" inscribed in a circle.
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Step 1:
The diameter (d) of the circle is actually the diagonal (D) of the square inscribed in the circle. The diagonal (D) of the square with side a is:
D = a√2 (ratio of 1:1:√2 means side a : side a : diagonal D = 1 : 1 : √2)
If a = 6 in, then D = 6√2 in.
d = D = 6√2 in
Step 2.
The radius (r) of the circle is half of its diameter (d):
r = d/2 = 6√2 / 2 = 3√2 in
Step 3.
The area of the circle (A1) is:
A = π * r²
A = 3.14 * (3√2)² = 3.14 * 3² * (√2)² = 3.14 * 9 * 2 = 56.52 in²
Step 4.
The area of the square (A2) is:
A2 = a²
A2 = 6² = 36 in²
Step 5:
(A1 - A2)/4 = (56.52 - 36)/4 = 20.52/4 = 5.13 in²