Answer:
13 units
Step-by-step explanation:
Giveb that :
Perimeter = 5/2 + 8/2 + 5/2 + 8/2
Hence, sum of the perimeter will be ;
The L. C. M of the denominator = 2
(5 + 8 + 5 + 8) / 2
= 26 / 2
= 13 units
Hence, the perimeter of the rectangle is 13 units
Quadratic Formula:
-b +/- √b² - 4ac
x = --------------------------
2a
In your equation 3x² + 5x + 2 = 0:
a = 3
b = 5
c = 2
Now, plug in these values into the formula.
-5 +/- √5² - 4(3)(2) -5 +/- √25 - 4(6)
x = -------------------------------- ⇒ x = -----------------------------
2(3) 6
-5 +/- √25 -24 -5 +/- √1 -5 +/- 1
x = ------------------------ ⇒ x = --------------- ⇒ x = --------------
6 6 6
-5 +/- 1
Split x = ------------ into two solutions by solving it.
6
-5 + 1 -4
x = ------------ = ------
6 6
-5 - 1 -6
x = ----------- = ------ = -1
6 6
The two final solutions are x = -1 and x = -4/6
Check the picture below to the left, let's use those sides with the law of sines
![\textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{sin(14^o)}{97}=\cfrac{sin(84^o)}{XZ}\implies XZ = \cfrac{97\cdot sin(84^o)}{sin(14^o)}\implies XZ \approx 398.76 \\\\\\ \stackrel{\textit{now using SOH CAH TOA}}{cos(82^o) = \cfrac{XW}{XZ}}\implies XZcos(82^o)=XW \\\\\\ 398.76cos(82^o)\approx XW\implies 55.497\approx XW\implies \stackrel{\textit{rounded up}}{55=XW}](https://tex.z-dn.net/?f=%5Ctextit%7BLaw%20of%20sines%7D%20%5C%5C%5C%5C%20%5Ccfrac%7Bsin%28%5Cmeasuredangle%20A%29%7D%7Ba%7D%3D%5Ccfrac%7Bsin%28%5Cmeasuredangle%20B%29%7D%7Bb%7D%3D%5Ccfrac%7Bsin%28%5Cmeasuredangle%20C%29%7D%7Bc%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7Bsin%2814%5Eo%29%7D%7B97%7D%3D%5Ccfrac%7Bsin%2884%5Eo%29%7D%7BXZ%7D%5Cimplies%20XZ%20%3D%20%5Ccfrac%7B97%5Ccdot%20sin%2884%5Eo%29%7D%7Bsin%2814%5Eo%29%7D%5Cimplies%20XZ%20%5Capprox%20398.76%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bnow%20using%20SOH%20CAH%20TOA%7D%7D%7Bcos%2882%5Eo%29%20%3D%20%5Ccfrac%7BXW%7D%7BXZ%7D%7D%5Cimplies%20XZcos%2882%5Eo%29%3DXW%20%5C%5C%5C%5C%5C%5C%20398.76cos%2882%5Eo%29%5Capprox%20XW%5Cimplies%2055.497%5Capprox%20XW%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Brounded%20up%7D%7D%7B55%3DXW%7D)
The expression that is equivalent to the given expression where the expression is given as (18)2⋅(19)2 is (18 * 19)^2
<h3>How to determine which expression is equivalent to the given
expression? </h3>
The expression is given as
(18)2⋅(19)2
Rewrite the above expression properly
So, we have
(18)^2 * (19)^2
The factors in the above expression have the same exponent.
So, the expression can be rewritten as
(18 * 19)^2
Hence, the expression that is equivalent to the given expression where the expression is given as (18)2⋅(19)2 is (18 * 19)^2
Read more about equivalent expression at
brainly.com/question/2972832
#SPJ1
I am very stuck on this answer simplify 8/12
