Answer:
diagonal = = 12.8 inches (to the nearest tenth of an inch)
Step-by-step explanation:
As shown in the diagram attached to this solution:
Let the Length of the rectangular board = a
Let the width = b 
Let the diagonal = d
where:
a = 10 inches
b = 8 inches
d = ?
Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:
(hypotenuse)² = (Adjacent)² + (Opposite)²
d² = 10² + 8²
d² = 100 + 64
d² = 164
∴ d = √(164)
d = 12.806 inches
d = 12.8 inches (to the nearest tenth of an inch)
<em>N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.</em>
 
        
             
        
        
        
3y³-y²+8y-1+5/y-4. is that unless you want the answer smaller
        
             
        
        
        
Just get only one of  the placeholder on one side by itself
and do the same thing to both sides so it stays equal
3x+7=5x-21
add 21 to both sides
3x+28=5x
subtract 3x from obht sides
28=2x
sivide both sides by 2
14=x
        
                    
             
        
        
        
<em>3</em><em>9</em><em>></em><em>3</em><em>8</em>
<em>1</em><em>6</em><em>=</em><em>1</em><em>6</em>
<em>1</em><em>1</em><em><</em><em>3</em><em>1</em><em>5</em>
<em>5</em><em>></em><em>4</em>
<em>Hope </em><em>this </em><em>helps </em><em>you </em><em>mate </em>
<em>~♥~</em><em>♪☆\(^0^\) ♪(/^-^)/☆</em><em>♪☆\(^0^\) ♪(/^-^)/☆</em><em>♪\(*^▽^*)/\(*^▽^*)/</em><em>♪☆\(^0^\) ♪(/^-^)/☆</em><em>♪ ♬ ヾ(´︶`♡)ノ ♬ ♪</em>
 
        
                    
             
        
        
        
Answer:
206
Step-by-step explanation:
The formula for this problem would be -310 + 13(8) which = 206