Answer:
area of a sector = 14.13 yards²
Step-by-step explanation:
XYZ is a sector of a circle. The radius YZ is 6 inches .The angle of the sector is given as 45°. The area of the sector can be solved as follows.
area of a sector = ∅/360 × πr²
where
r = radius
∅ = center angle
r = 6 inches
∅ = 45°
area of a sector = 45/360 × 3.14 × 6²
area of a sector = 45/360 × 3.14 × 36
area of a sector = 45/360 × 113.04
area of sector = 1/8 × 113.04
area of a sector = 14.13 yards²
Answer:
3156
Step-by-step explanation:
- <em>Used formula:</em>
- <em>(1² + 2² + 3² + ... + n²) =1/6*n(n + 1)(2n + 1)</em>
--------
- 10²+12²+14²+......+26² =
- (2*5)²+(2*6)² + (2*7)² + ... + (2*13)² =
- 4*(5²+6²+7²+...+13²) =
- 4*(1²+2²+...+13² - (1²+2²+3²+4²)) =
- 4*(1/6*13(13+1)(2*13+1) - (1+4+9+16)) =
- 4*(1/6*13*14*27- 30) =
- 4*(819 - 30) =
- 4*789 =
- 3156
Answer:
5n+8
4 times the quantity of a number and six
Step-by-step explanation:
8 more than 5 times a number
more than comes after
5 time a number
5n
8 more than
5n+8
4(n + 6)
4 times the quantity of a number and six
5/g=n because the denominator is always the total amount and g is the total amount of granola bars in the box. And the 5 comes from the amount of kids that received the bars and the n is on the outside because your looking for that amount. I’m sorry if this doesn’t make sense, i tried my best to explain.
Answer:
Step-by-step explanation:
1. Express each quadratic function f in the form f (x) -yo = p (x - xo) x ϵ R, where xo, i, p ϵ R are appropriately chosen. Indicate the coordinates
of the vertex of the parabola, the minimum or maximum of the function f, especially R. Draw the graph of f.
a) f (x) = 2x2 + 3x -5, ϵ R,
b) f (x) = -3x2 + 7x +9, ϵ R,
c) f (x) = - x +1, ϵ R,
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