Use the Law of Sines (sina/A=sinb/B=sinc/C for any triangle)
x/sin90=12/sin19
x=12/sin19
x≈36.86 to nearest hundredth
<span>Thus, the standardized form of a quadratic equation is ax2 + bx + c = 0, where "a" does not ... We said that the graph of y = x2 was a function because it passed the vertical line test. .... Find the vertex of the parabola y = 2x2 - 12x + 7. ... To find the y-value, we would substitute 3 in for x, or find f(3) = 2(3) 2 — 12(3) + 7 = -11.</span>
Answer:
1) 8.9 cm
2) 44.5 cm^2
Step-by-step explanation:
a) we want to calculate the length of the arc
Mathematically, we use the formula for the length of an arc
That will be ;
theta/360 * 2 * pi * r
theta = central angle = 51
r is radius = 10 cm
so we have ;
51/360 * 2 * 22/7 * 10 = 8.9 cm
2) The area of the sector is;
theta/360 * pi * r^2
51/360 * 22/7 * 10^2
= 44.5 cm^2
Answer: The manager should sell the chair for $1740.
Step-by-step explanation:
45% of 1200 Solve this to find the amount increase
0.45 * 1200 = 540 Now add this amount to find the price.
$1200 + $540 = $1740
or you could do it this way
100% + 45% = 145%
145% of 1200 =?
1.45 * 1200 = 1740