Answer:
Proper Subsets = 1023
Step-by-step explanation:
Given
Required
Determine the proper subsets
Proper Subset (P) is calculated using;

Where

In this case;

So:




Hence;
<em>Proper Subsets = 1023</em>
→ Solutions
⇒ Simplify <span><span><span>4<span>(<span>2a</span>)</span></span>+<span>7<span>(<span>−<span>4b</span></span>)</span></span></span>+<span><span>3c</span><span>(5)</span></span></span><span>⇒ </span><span><span><span><span><span>8a</span>+</span>−<span>28b</span></span>+<span>15<span>c
Answer
</span></span></span></span><span>⇒ </span><span>8a−28b</span><span>+</span><span>15c</span>
Answer:
1.6 hours
Step-by-step explanation:
Number of opening hours a day = 8
Number of groups = 5
Dividing the number of opening. Hours equally among the 5 groups :
8 hours / 5
= 1.6 hours per group per day
In a triangle, the three interior angles always add to 180°
m∠B = 180 - 30 - 80 = 70°
<span>D: 70</span>
∠BDC=30, so ∠CBD + ∠BCD=180-30=150
ΔDBC is isosceles, so ∠CBD=∠BCD=half of 150=75
∠ABC=∠ABD-∠CBD=155-75=80
ΔABC is isosceles, so ∠ABC=∠ACB=80
∠BAC=180-80-80=20