Answer:
8
Step-by-step explanation:
Divide 9.12 by 1.14
First you need to make a multiplier for 100-2.1%, to do this you minus the values and divide it by 100:
100-2.1 = 97.9
97.9/100 = 0.979
Then you multiply all the questions by it:
$45 * 0.979 = $44.055
$765 * 0.979 = $748.935
$1300 * 0.979 = $1272.7
Hope this helps! :)
You would times it by -5
20/-4 = -5
-100/20 = -5
Answer:
Yes, (x - 3) is a factor of P(x) and 3 is a zero or root of P(x)
Step-by-step explanation:
Determine whether or not (x - 3) is a factor by using synthetic division with +3 as the divisor. The coefficients of the polynomial p(x) are {2 -5 -4 0 9}.
Setting up synthetic division:
3 / 2 -5 -4 0 9
6 3 -3 -9
-------------------------------
2 1 -1 -3 0
Since the remainder is zero (0), we know that 3 is a root of the polynomial P(x) and that (x - 3) is a factor of said polynomial.
1.
Draw a circle with center C And radius CA, as shown in the attached picture.
Let the lengths of radii AO, OB, OC be R. Triangle ABC is inscribed in the circle with center O and one of its sides is a diameter, this means that the angle ACB is a right angle.
|AO|=|OC|=R, by the Pythagorean theorem |AC|=

.
these are all shown in the picture.
2.
Area of triangle ABC is 1/2 * 2R * R= R^2
3.
Let the area between arc BXA and chord AB be Y. (the yellow region).
and let G be the shaded region between arcs AB and AXB.
G=1/2(Area circle with center O)-Y
=

To find Y:
Notice that the area of the sector ACB is 1/4 of the area of circle with center C, since m(ACB) is 1/4 of 360 degrees.
So Area of sector ACB =

Y =area of sector ABC-Area(triangle ABC)=

4.
Finally,

This proves that the 2 shaded regions have equal area.