13
Answer: 175.8 cm^2
Explanation:
The formula for calculating the area of a sector is expressed as
Area = θ/360 x πr^2
where
r is the radius of the circle
θ is the angle subtended at the center
From the information given,
θ = 315
r = 8
π = 3.14
By substituting these values into the formula,
Area of sector = 315/360 x 3.14 x 8^2
Area of sector = 175.8 cm^2
Answer: stretched by a factor of 2 and translated 8 units right and 5 units down
Explanation:
These is the set of choices that accompany with this question:
<span>a) stretched by a factor of 2 and translated 64 units right and 5 units down
b) stretched by a factor of 8 and translated 8 units right and 5 units down
c) stretched by a factor of 2 and translated 8 units right and 5 units down
d) stretched by a factor of 8 and translated 64 units right and 5 units down
Solution:
</span>Let's work a little the given function to compare it with the parent function.
1) The given function is y = ∛[8x - 64] - 5
2) Extract common factor 8 of the expression inside the square brackets:
y = ∛[ 8( x - 8) ] - 5
3) Extract 8 from the root:
y = 2∛(x - 8) - 5
4) The parent function is ∛x. Call the parent function g(x) => g(x) = ∛x
5) Compare: y is 2 * g(x - 8) - 5
6) Analyze the meaning of that:
g(x - 8) means that the graph of the function is translated 8 units to the right
scaling by 2 means that the graph is stretch vertically (by a scale factor of 2)
- 5 means that the entire graph is shifted 5 units downward.
So, the description of the graph y = ∛(8x - 64) - 5 compared to the parent cube root function is: stretched by a factor of 2 and translated 8 units right and 5 units down
22. Surface area is 301
<span>23. Surface area is 234.375</span>
<span>x^2+2x+xy+2y
= x(x + 2) + y (x +2)
= (x + 2)(x + y)
hope it helps</span>
