To calculate the number of shingles, we first calculate for the total area of the roof of Janice's house. From the figure, we can calculate the area of the two shapes: pyramid and a rectangular prism.
A(pyramid) = lw+l√[(w/2)²+h²]+w√[(l/2)²+h²]
A = 208 m²
A(prism) = 2(wl+hl+hw)
A = 293 m²
Total area = 501 m²
Number of shingles she needs = 501 m² / 2.25 m² =<span> 223</span><span>
</span>
Answer:
3
Step-by-step explanation:
All factorials 5 and above are evenly divisible by 15, so have no remainder. Thus, you are interested in ...
mod(1! +2! +3! +4!, 15) = mod(1 +2 +6 +24, 15)
= mod(33, 15) = 3
The remainder is 3.
Answer:
4.40033 x 10^17
Step-by-step explanation:
is the logical or/disjunction symbol.
means "
or
". Disjunction is commutative, which means
is equivalent to
.
So if
represents
and
represents
, then
means
or
.
Answer:
520
Step-by-step explanation:
This problem is
boys + girls = total
Boys = 442
Girls = 15% of the total
Therefore, substituting in, gives us:
442 + .15t = t, where t is total
Then 442 = .85t and
t = 520
