Answer:
2 3/4 in.
Step-by-step explanation:
66/6 = 11
11(1/4) = 11/4
11/4 = 2 3/4
Answer:
A) 12 toppings.
Step-by-step explanation:
That would be the answer if there are no combinations of toppings.
You would simply take the number of sizes (3) and the number of toppings (4) and multiply them together to get 12 combinations.
Answer:
3.5 m
Step-by-step explanation:
Use Pythagorean theorem to find the distance (d) the distance goes up the wall = adjacent to the angle 75° that is formed with the wall.
Length of ladder = the hypothenuse = 13.5 m
Thus, we would use:
Cos75 = adjacent/hypothenuse
Cos 75 = d/13.5
Multiply both sides by 13.5
13.5*cos(75) = d
13.5*0.2588 = d
3.4938 = d
d ≈ 3.5 m (nearest tenth)
→ 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>
You can try them out and see which one works.
a: f(2) = f(1) +6 = 5+6 = 11 . . . . . . not this one
b: f(1) = f(2) -6 = -1-6 = -7 . . . . . . not this one (5 ≠ -7)
c: f(2) = f(1) - 6 = 5 - 6 = -1 . . . . . this gives the right f(2)
d: f(2 = -6(f(1) = -6(5) = -30 . . . . not this one
_____
The appropriate choice is ...
... f(n +1) = f(n) - 6
— — — — —
You can also recognize that the next term is 6 less than the current one, so f(n+1) = f(n) - 6, which corresponds to the 3rd selection.