The last model,
It represents 8/10 or 4/5 which is greater than 3/5
FOIL: First, Inner, Outer, Last.
(2x+3)(3x+2)
First: 2x•3x=6x^2 Inner: 3x•3=9x
Outer: 2x•2=4x Last:3•2=6
6x^2+9x+4x+6= 6x^2+13x+6
Answer:
10%
Step-by-step explanation:
Answer: 22 1/2
Step-by-step explanation: first convert 4 1/2 into a mixed # = 9/2
The divide that by 5 (mult by reciprocal)
Reciprocal is the # flipped so,
9/2 x 1/5
= 45/2
divide 45 by 2
When we are given 3 sides, we try to solve the angles first by using the
law of cosines
cos (A) = [b^2 + c^2 - a^2] / (2 * b * c)
cos (A) = [43^2 + 17^2 -27^2] / (2 * 43 * 17)
cos (A) = [1,849 + 289 -729] /
<span>
<span>
<span>
1,462
</span></span></span>cos (A) = 1,409 / 1,462
cos (A) =
<span>
<span>
<span>
0.96374829001368
Angle A = 15.475
Now that we have one angle, we next can use the
Law of Sines
sin(B) / side b = sin(A) / side a
sin(B) = sin(A) * sideb / sidea
</span></span></span><span>sin(B) = sin(15.475) * 43 / 27
</span><span>sin(B) = 0.26682 * 43 / 27
sin (B) = </span><span>0.424935555555</span>
Angle B = 25.147 Degrees
Remember the arc sine (<span>0.424935555555) also equals </span>
<span>
<span>
<span>
154.85
</span></span></span>Finally, calculating the third angle is quite easy
Angle C = 180 - Angle (A) - Angle(B)
Angle C = 180 - 15.475 - 154.85
Angle C = 9.675
Source:
http://www.1728.org/trigtut2.htm