Answer:
1.6
Step-by-step explanation:
Given :
X/4 = 2/5
To solve for X ;
We can use cross multiplication ; multiply opposite values :
X * 5 = 2 * 4
5X = 8
To isolate X ;
Divide both sides by 5
5X/5 = 8/5
X = 8/5
X = 1.6
Answer:
Algebraic expressions are simplified by using given operators
like as arithmetic
But in algebraic expression there are terms
Answer:
BC = x = 8.12
AB = 15.33
Step-by-step explanation:
The missing sides of the right triangle is AB and BC;
Step 1: solve for BC using the following formula;
![tan(\theta) = \frac{Opposite \ side}{Adjacent \ side} \\\\tan (32)= \frac{BC}{AC} \\\\tan(32) = \frac{x}{13} \\\\x = 13 \times tan(32) \\\\x = 8.12 \](https://tex.z-dn.net/?f=tan%28%5Ctheta%29%20%3D%20%5Cfrac%7BOpposite%20%5C%20side%7D%7BAdjacent%20%5C%20side%7D%20%5C%5C%5C%5Ctan%20%2832%29%3D%20%5Cfrac%7BBC%7D%7BAC%7D%20%5C%5C%5C%5Ctan%2832%29%20%3D%20%5Cfrac%7Bx%7D%7B13%7D%20%5C%5C%5C%5Cx%20%3D%2013%20%5Ctimes%20tan%2832%29%20%5C%5C%5C%5Cx%20%3D%208.12%20%5C)
Step 2; solve for AB using a trig ratio or Pythagoras theorem;
![cos (\theta) = \frac{Adjacent \ side }{Hypotenuse \ side} \\\\cos (32) = \frac{AC}{AB} \\\\cos (32) = \frac{13}{AB} \\\\AB = \frac{13}{cos (32)} \\\\AB = 15.33](https://tex.z-dn.net/?f=cos%20%28%5Ctheta%29%20%3D%20%5Cfrac%7BAdjacent%20%5C%20side%20%7D%7BHypotenuse%20%5C%20side%7D%20%5C%5C%5C%5Ccos%20%2832%29%20%3D%20%5Cfrac%7BAC%7D%7BAB%7D%20%5C%5C%5C%5Ccos%20%2832%29%20%3D%20%5Cfrac%7B13%7D%7BAB%7D%20%5C%5C%5C%5CAB%20%3D%20%5Cfrac%7B13%7D%7Bcos%20%2832%29%7D%20%5C%5C%5C%5CAB%20%3D%2015.33)
Answer:
x ≈ 6
Step-by-step explanation:
6x-44=4x
6x-4x=44
2x=44
X=22
: )